Abstract
We initiate a systematic study of the self-interactions of a massive spin-2 “graviton” consistent with up to \( \mathcal{N} \) = 4 supersymmetry. Using a recently developed massive on-shell superspace formalism, we construct the most general set of cubic massive graviton amplitudes in a form with all supersymmetry and Lorentz invariance manifest. We find that for \( \mathcal{N} \) ≥ 3 supersymmetry, the family of consistent interactions coincide with those of the ghost-free dRGT model. For \( \mathcal{N} \) = 4 (maximal) supersymmetry there is a single consistent cubic interaction which coincides with the unique structure required for the absence of asymptotic superluminality. Additionally, we discuss the structure of interactions in the high-energy limit, connections to supersymmetric Galileons and the possibility of a supersymmetric massive double copy.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L. Brink, J.H. Schwarz and J. Scherk, Supersymmetric Yang-Mills Theories, Nucl. Phys. B 121 (1977) 77 [INSPIRE].
E. D’Hoker and D.H. Phong, Lectures on supersymmetric Yang-Mills theory and integrable systems, in 9th CRM Summer School: Theoretical Physics at the End of the 20th Century, pp. 1–125, 12, 1999 [hep-th/9912271] [INSPIRE].
D.Z. Freedman, P. van Nieuwenhuizen and S. Ferrara, Progress Toward a Theory of Supergravity, Phys. Rev. D 13 (1976) 3214 [INSPIRE].
S. Deser and B. Zumino, Consistent Supergravity, Phys. Lett. B 62 (1976) 335 [INSPIRE].
D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press, Cambridge, U.K. (2012).
N. Arkani-Hamed, F. Cachazo and J. Kaplan, What is the Simplest Quantum Field Theory?, JHEP 09 (2010) 016 [arXiv:0808.1446] [INSPIRE].
T. Gregoire, M.D. Schwartz and Y. Shadmi, Massive supergravity and deconstruction, JHEP 07 (2004) 029 [hep-th/0403224] [INSPIRE].
O. Malaeb, Massive Gravity with N = 1 local Supersymmetry, Eur. Phys. J. C 73 (2013) 2549 [arXiv:1302.5092] [INSPIRE].
O. Malaeb, Supersymmetrizing Massive Gravity, Phys. Rev. D 88 (2013) 025002 [arXiv:1303.3580] [INSPIRE].
N.A. Ondo and A.J. Tolley, Deconstructing Supergravity: Massive Supermultiplets, JHEP 11 (2018) 082 [arXiv:1612.08752] [INSPIRE].
F. Del Monte, D. Francia and P.A. Grassi, Multimetric Supergravities, JHEP 09 (2016) 064 [arXiv:1605.06793] [INSPIRE].
S. Ferrara and D. Lüst, Spin-four \( \mathcal{N} \) = 7 W-supergravity: S-fold and double copy construction, JHEP 07 (2018) 114 [arXiv:1805.10022] [INSPIRE].
S. Ferrara, A. Kehagias and D. Lüst, Bimetric, Conformal Supergravity and its Superstring Embedding, JHEP 05 (2019) 100 [arXiv:1810.08147] [INSPIRE].
S. Ferrara, A. Kehagias and D. Lüst, Aspects of Conformal Supergravity, in 57th International School of Subnuclear Physics: In Search for the Unexpected, 1, 2020 [arXiv:2001.04998] [INSPIRE].
M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field, Proc. Roy. Soc. Lond. A 173 (1939) 211.
L. Alberte, C. de Rham, A. Momeni, J. Rumbutis and A.J. Tolley, Positivity Constraints on Interacting Spin-2 Fields, JHEP 03 (2020) 097 [arXiv:1910.11799] [INSPIRE].
K. Hinterbichler, A. Joyce and R.A. Rosen, Massive Spin-2 Scattering and Asymptotic Superluminality, JHEP 03 (2018) 051 [arXiv:1708.05716] [INSPIRE].
J. Bonifacio and K. Hinterbichler, Bounds on Amplitudes in Effective Theories with Massive Spinning Particles, Phys. Rev. D 98 (2018) 045003 [arXiv:1804.08686] [INSPIRE].
J. Bonifacio, K. Hinterbichler and R.A. Rosen, Constraints on a gravitational Higgs mechanism, Phys. Rev. D 100 (2019) 084017 [arXiv:1903.09643] [INSPIRE].
D. Klaewer, D. Lüst and E. Palti, A Spin-2 Conjecture on the Swampland, Fortsch. Phys. 67 (2019) 1800102 [arXiv:1811.07908] [INSPIRE].
A. Karch and L. Randall, Locally localized gravity, JHEP 05 (2001) 008 [hep-th/0011156] [INSPIRE].
A. Karch and L. Randall, Localized gravity in string theory, Phys. Rev. Lett. 87 (2001) 061601 [hep-th/0105108] [INSPIRE].
M. Porrati, Mass and gauge invariance 4. Holography for the Karch-Randall model, Phys. Rev. D 65 (2002) 044015 [hep-th/0109017] [INSPIRE].
M. Porrati, Higgs phenomenon for the graviton in AdS space, Mod. Phys. Lett. A 18 (2003) 1793 [hep-th/0306253] [INSPIRE].
O. Aharony, O. DeWolfe, D.Z. Freedman and A. Karch, Defect conformal field theory and locally localized gravity, JHEP 07 (2003) 030 [hep-th/0303249] [INSPIRE].
M.J. Duff, J.T. Liu and H. Sati, Complementarity of the Maldacena and Karch-Randall pictures, Phys. Rev. D 69 (2004) 085012 [hep-th/0207003] [INSPIRE].
O. Aharony, A.B. Clark and A. Karch, The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture, Phys. Rev. D 74 (2006) 086006 [hep-th/0608089] [INSPIRE].
C. de Rham and A.J. Tolley, Mimicking Lambda with a spin-two ghost condensate, JCAP 07 (2006) 004 [hep-th/0605122] [INSPIRE].
E. Kiritsis and V. Niarchos, Interacting String Multi-verses and Holographic Instabilities of Massive Gravity, Nucl. Phys. B 812 (2009) 488 [arXiv:0808.3410] [INSPIRE].
L. Apolo and M. Porrati, On AdS/CFT without Massless Gravitons, Phys. Lett. B 714 (2012) 309 [arXiv:1205.4956] [INSPIRE].
G. Gabadadze, The Big Constant Out, The Small Constant In, Phys. Lett. B 739 (2014) 263 [arXiv:1406.6701] [INSPIRE].
G. Gabadadze and S. Yu, Metamorphosis of the Cosmological Constant and 5D Origin of the Fiducial Metric, Phys. Rev. D 94 (2016) 104059 [arXiv:1510.07943] [INSPIRE].
S.K. Domokos and G. Gabadadze, Unparticles as the Holographic Dual of Gapped AdS Gravity, Phys. Rev. D 92 (2015) 126011 [arXiv:1509.03285] [INSPIRE].
G. Gabadadze, Scale-up of Λ3: Massive gravity with a higher strong interaction scale, Phys. Rev. D 96 (2017) 084018 [arXiv:1707.01739] [INSPIRE].
C. Bachas and I. Lavdas, Massive Anti-de Sitter Gravity from String Theory, JHEP 11 (2018) 003 [arXiv:1807.00591] [INSPIRE].
I.L. Buchbinder, S.J. Gates, Jr., W.D. Linch, III and J. Phillips, New 4-D, N = 1 superfield theory: Model of free massive superspin 3/2 multiplet, Phys. Lett. B 535 (2002) 280 [hep-th/0201096] [INSPIRE].
Y.M. Zinoviev, On Partially Massless Supergravity, Phys. Part. Nucl. 49 (2018) 850 [INSPIRE].
Y.M. Zinoviev, Massive spin two supermultiplets, hep-th/0206209 [INSPIRE].
S.J. Gates, Jr. and K. Koutrolikos, A dynamical theory for linearized massive superspin 3/2, JHEP 03 (2014) 030 [arXiv:1310.7387] [INSPIRE].
A.S. Galperin, E.A. Ivanov, V.I. Ogievetsky and E.S. Sokatchev, Harmonic superspace, Cambridge Monographs on Mathematical Physics, Cambridge University Press (2007), https://doi.org/10.1017/CBO9780511535109 [INSPIRE].
H. Elvang, D.Z. Freedman and M. Kiermaier, Solution to the Ward Identities for Superamplitudes, JHEP 10 (2010) 103 [arXiv:0911.3169] [INSPIRE].
N. Arkani-Hamed, T.-C. Huang and Y.-t. Huang, Scattering amplitudes for all masses and spins, JHEP 11 (2021) 070 [arXiv:1709.04891] [INSPIRE].
A. Herderschee, S. Koren and T. Trott, Massive On-Shell Supersymmetric Scattering Amplitudes, JHEP 10 (2019) 092 [arXiv:1902.07204] [INSPIRE].
C. de Rham, G. Gabadadze and A.J. Tolley, Resummation of Massive Gravity, Phys. Rev. Lett. 106 (2011) 231101 [arXiv:1011.1232] [INSPIRE].
K. Hinterbichler, Theoretical Aspects of Massive Gravity, Rev. Mod. Phys. 84 (2012) 671 [arXiv:1105.3735] [INSPIRE].
C. de Rham, Massive Gravity, Living Rev. Rel. 17 (2014) 7 [arXiv:1401.4173] [INSPIRE].
C. Cheung and G.N. Remmen, Positive Signs in Massive Gravity, JHEP 04 (2016) 002 [arXiv:1601.04068] [INSPIRE].
D.G. Boulware and S. Deser, Can gravitation have a finite range?, Phys. Rev. D 6 (1972) 3368 [INSPIRE].
A.I. Vainshtein, To the problem of nonvanishing gravitation mass, Phys. Lett. B 39 (1972) 393 [INSPIRE].
H. van Dam and M.J.G. Veltman, Massive and massless Yang-Mills and gravitational fields, Nucl. Phys. B 22 (1970) 397 [INSPIRE].
V.I. Zakharov, Linearized gravitation theory and the graviton mass, JETP Lett. 12 (1970) 312 [INSPIRE].
E. Babichev and C. Deffayet, An introduction to the Vainshtein mechanism, Class. Quant. Grav. 30 (2013) 184001 [arXiv:1304.7240] [INSPIRE].
C. de Rham, L. Heisenberg and R.H. Ribeiro, Quantum Corrections in Massive Gravity, Phys. Rev. D 88 (2013) 084058 [arXiv:1307.7169] [INSPIRE].
X.O. Camanho, G. Lucena Gómez and R. Rahman, Causality Constraints on Massive Gravity, Phys. Rev. D 96 (2017) 084007 [arXiv:1610.02033] [INSPIRE].
J. Bonifacio, K. Hinterbichler, A. Joyce and R.A. Rosen, Massive and Massless Spin-2 Scattering and Asymptotic Superluminality, JHEP 06 (2018) 075 [arXiv:1712.10020] [INSPIRE].
B. Bellazzini, F. Riva, J. Serra and F. Sgarlata, Beyond Positivity Bounds and the Fate of Massive Gravity, Phys. Rev. Lett. 120 (2018) 161101 [arXiv:1710.02539] [INSPIRE].
C. de Rham, S. Melville, A.J. Tolley and S.-Y. Zhou, Positivity Bounds for Massive Spin-1 and Spin-2 Fields, JHEP 03 (2019) 182 [arXiv:1804.10624] [INSPIRE].
C. de Rham, S. Melville and A.J. Tolley, Improved Positivity Bounds and Massive Gravity, JHEP 04 (2018) 083 [arXiv:1710.09611] [INSPIRE].
S. Weinberg, Photons and Gravitons in S-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass, Phys. Rev. 135 (1964) B1049 [INSPIRE].
S. Ferrara, C.A. Savoy and B. Zumino, General Massive Multiplets in Extended Supersymmetry, Phys. Lett. B 100 (1981) 393 [INSPIRE].
S. Ferrara and C.A. Savoy, Representations of Extended Supersymmetry on One and Two Particle States, in First School on Supergravity, (1981).
N. Yamatsu, Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building, arXiv:1511.08771 [INSPIRE].
H. Georgi, Lie Algebras in Particle Physics: From Isospin to Unified Theories, vol. 54, CRC Press (1982).
M.T. Grisaru, H.N. Pendleton and P. van Nieuwenhuizen, Supergravity and the S Matrix, Phys. Rev. D 15 (1977) 996 [INSPIRE].
M.T. Grisaru and H.N. Pendleton, Some Properties of Scattering Amplitudes in Supersymmetric Theories, Nucl. Phys. B 124 (1977) 81 [INSPIRE].
H. Elvang, D.Z. Freedman and M. Kiermaier, SUSY Ward identities, Superamplitudes, and Counterterms, J. Phys. A 44 (2011) 454009 [arXiv:1012.3401] [INSPIRE].
V.P. Nair, A Current Algebra for Some Gauge Theory Amplitudes, Phys. Lett. B 214 (1988) 215 [INSPIRE].
E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252 (2004) 189 [hep-th/0312171] [INSPIRE].
R.H. Boels and C. Schwinn, On-shell supersymmetry for massive multiplets, Phys. Rev. D 84 (2011) 065006 [arXiv:1104.2280] [INSPIRE].
A. Herderschee, S. Koren and T. Trott, Constructing \( \mathcal{N} \) = 4 Coulomb branch superamplitudes, JHEP 08 (2019) 107 [arXiv:1902.07205] [INSPIRE].
C. Arzt, Reduced effective Lagrangians, Phys. Lett. B 342 (1995) 189 [hep-ph/9304230] [INSPIRE].
D. Lüst, C. Markou, P. Mazloumi and S. Stieberger, Extracting bigravity from string theory, JHEP 12 (2021) 220 [arXiv:2106.04614] [INSPIRE].
C. De Rham, K. Hinterbichler and L.A. Johnson, On the (A)dS Decoupling Limits of Massive Gravity, JHEP 09 (2018) 154 [arXiv:1807.08754] [INSPIRE].
J.M. Cornwall, D.N. Levin and G. Tiktopoulos, Derivation of Gauge Invariance from High-Energy Unitarity Bounds on the s Matrix, Phys. Rev. D 10 (1974) 1145 [Erratum ibid. 11 (1975) 972] [INSPIRE].
C.E. Vayonakis, Born Helicity Amplitudes and Cross-Sections in Nonabelian Gauge Theories, Lett. Nuovo Cim. 17 (1976) 383 [INSPIRE].
B.W. Lee, C. Quigg and H.B. Thacker, Weak Interactions at Very High-Energies: The Role of the Higgs Boson Mass, Phys. Rev. D 16 (1977) 1519 [INSPIRE].
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action, Phys. Rev. D 82 (2010) 044020 [arXiv:1007.0443] [INSPIRE].
G. Goon, K. Hinterbichler, A. Joyce and M. Trodden, Galileons as Wess-Zumino Terms, JHEP 06 (2012) 004 [arXiv:1203.3191] [INSPIRE].
N. Arkani-Hamed, H. Georgi and M.D. Schwartz, Effective field theory for massive gravitons and gravity in theory space, Annals Phys. 305 (2003) 96 [hep-th/0210184] [INSPIRE].
M.D. Schwartz, Constructing gravitational dimensions, Phys. Rev. D 68 (2003) 024029 [hep-th/0303114] [INSPIRE].
S.F. Hassan and R.A. Rosen, Resolving the Ghost Problem in non-Linear Massive Gravity, Phys. Rev. Lett. 108 (2012) 041101 [arXiv:1106.3344] [INSPIRE].
A.J. Tolley, Z.-Y. Wang and S.-Y. Zhou, New positivity bounds from full crossing symmetry, JHEP 05 (2021) 255 [arXiv:2011.02400] [INSPIRE].
S. Ferrara, A. Kehagias and D. Lüst, Aspects of Weyl Supergravity, JHEP 08 (2018) 197 [arXiv:1806.10016] [INSPIRE].
H. Kawai, D.C. Lewellen and S.H.H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings, Nucl. Phys. B 269 (1986) 1 [INSPIRE].
Z. Bern, J.J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications, arXiv:1909.01358 [INSPIRE].
H. Johansson and A. Ochirov, Double copy for massive quantum particles with spin, JHEP 09 (2019) 040 [arXiv:1906.12292] [INSPIRE].
A. Momeni, J. Rumbutis and A.J. Tolley, Kaluza-Klein from colour-kinematics duality for massive fields, JHEP 08 (2021) 081 [arXiv:2012.09711] [INSPIRE].
N. Moynihan, Scattering Amplitudes and the Double Copy in Topologically Massive Theories, JHEP 12 (2020) 163 [arXiv:2006.15957] [INSPIRE].
M.C. González, A. Momeni and J. Rumbutis, Massive double copy in three spacetime dimensions, JHEP 08 (2021) 116 [arXiv:2107.00611] [INSPIRE].
N. Moynihan, Massive Covariant Colour-Kinematics in 3D, arXiv:2110.02209 [INSPIRE].
M.C. González, A. Momeni and J. Rumbutis, Massive double copy in the high-energy limit, JHEP 04 (2022) 094 [arXiv:2112.08401] [INSPIRE].
M.C. González, Q. Liang and M. Trodden, Double copy for massive scalar field theories, JHEP 08 (2022) 098 [arXiv:2202.00620] [INSPIRE].
A. Momeni, J. Rumbutis and A.J. Tolley, Massive Gravity from Double Copy, JHEP 12 (2020) 030 [arXiv:2004.07853] [INSPIRE].
L.A. Johnson, C.R.T. Jones and S. Paranjape, Constraints on a Massive Double-Copy and Applications to Massive Gravity, JHEP 02 (2021) 148 [arXiv:2004.12948] [INSPIRE].
H.-H. Chi, H. Elvang, A. Herderschee, C.R.T. Jones and S. Paranjape, Generalizations of the double-copy: the KLT bootstrap, JHEP 03 (2022) 077 [arXiv:2106.12600] [INSPIRE].
M. Abhishek, S. Hegde, D.P. Jatkar and A.P. Saha, Scattering Amplitudes and BCFW in \( \mathcal{N} \) = 2∗ Theory, SciPost Phys. 13 (2022) 008 [arXiv:2202.12204] [INSPIRE].
N. Seiberg, The Power of holomorphy: Exact results in 4 − D SUSY field theories, in Particles, Strings, and Cosmology (PASCOS 94), pp. 0357–369, 5, 1994 [hep-th/9408013] [INSPIRE].
K. Hinterbichler, Ghost-Free Derivative Interactions for a Massive Graviton, JHEP 10 (2013) 102 [arXiv:1305.7227] [INSPIRE].
J. Bonifacio, K. Hinterbichler and L.A. Johnson, Pseudolinear spin-2 interactions, Phys. Rev. D 99 (2019) 024037 [arXiv:1806.00483] [INSPIRE].
J. Bonifacio and K. Hinterbichler, Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle, Phys. Rev. D 98 (2018) 085006 [arXiv:1806.10607] [INSPIRE].
C. de Rham and S. Renaux-Petel, Massive Gravity on de Sitter and Unique Candidate for Partially Massless Gravity, JCAP 01 (2013) 035 [arXiv:1206.3482] [INSPIRE].
C. de Rham, K. Hinterbichler, R.A. Rosen and A.J. Tolley, Evidence for and obstructions to nonlinear partially massless gravity, Phys. Rev. D 88 (2013) 024003 [arXiv:1302.0025] [INSPIRE].
A. Higuchi, Forbidden Mass Range for Spin-2 Field Theory in de Sitter Space-time, Nucl. Phys. B 282 (1987) 397 [INSPIRE].
E. Babichev and R. Brito, Black holes in massive gravity, Class. Quant. Grav. 32 (2015) 154001 [arXiv:1503.07529] [INSPIRE].
E. Babichev and A. Fabbri, A class of charged black hole solutions in massive (bi)gravity, JHEP 07 (2014) 016 [arXiv:1405.0581] [INSPIRE].
E. Cremmer, B. Julia and J. Scherk, Supergravity Theory in Eleven-Dimensions, Phys. Lett. B 76 (1978) 409 [INSPIRE].
E. Cremmer and B. Julia, The SO(8) Supergravity, Nucl. Phys. B 159 (1979) 141 [INSPIRE].
C. de Rham, A. Matas and A.J. Tolley, Deconstructing Dimensions and Massive Gravity, Class. Quant. Grav. 31 (2014) 025004 [arXiv:1308.4136] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [INSPIRE].
N. Arkani-Hamed and M.D. Schwartz, Discrete gravitational dimensions, Phys. Rev. D 69 (2004) 104001 [hep-th/0302110] [INSPIRE].
A. Falkowski and G. Isabella, Matter coupling in massive gravity, JHEP 04 (2020) 014 [arXiv:2001.06800] [INSPIRE].
R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, Phys. Rev. Lett. 94 (2005) 181602 [hep-th/0501052] [INSPIRE].
J.M. Drummond and J.M. Henn, All tree-level amplitudes in N = 4 SYM, JHEP 04 (2009) 018 [arXiv:0808.2475] [INSPIRE].
S.D. Badger, E.W.N. Glover, V.V. Khoze and P. Svrček, Recursion relations for gauge theory amplitudes with massive particles, JHEP 07 (2005) 025 [hep-th/0504159] [INSPIRE].
C. Schwinn and S. Weinzierl, On-shell recursion relations for all Born QCD amplitudes, JHEP 04 (2007) 072 [hep-ph/0703021] [INSPIRE].
N. Arkani-Hamed and J. Kaplan, On Tree Amplitudes in Gauge Theory and Gravity, JHEP 04 (2008) 076 [arXiv:0801.2385] [INSPIRE].
H. Elvang and Y.-t. Huang, Scattering Amplitudes, arXiv:1308.1697 [INSPIRE].
J. Khoury, J.-L. Lehners and B.A. Ovrut, Supersymmetric Galileons, Phys. Rev. D 84 (2011) 043521 [arXiv:1103.0003] [INSPIRE].
M. Koehn, J.-L. Lehners and B. Ovrut, Supersymmetric cubic Galileons have ghosts, Phys. Rev. D 88 (2013) 023528 [arXiv:1302.0840] [INSPIRE].
F. Farakos, C. Germani and A. Kehagias, On ghost-free supersymmetric galileons, JHEP 11 (2013) 045 [arXiv:1306.2961] [INSPIRE].
H. Elvang, M. Hadjiantonis, C.R.T. Jones and S. Paranjape, On the Supersymmetrization of Galileon Theories in Four Dimensions, Phys. Lett. B 781 (2018) 656 [arXiv:1712.09937] [INSPIRE].
H. Elvang, M. Hadjiantonis, C.R.T. Jones and S. Paranjape, Soft Bootstrap and Supersymmetry, JHEP 01 (2019) 195 [arXiv:1806.06079] [INSPIRE].
H. Elvang and M.D. Mitchell, On Extended Supersymmetry of 4d Galileons and 3-Brane Effective Actions, arXiv:2111.12686 [INSPIRE].
M. Srednicki, Quantum field theory, Cambridge University Press, Cambridge, U.K. (2007).
H.K. Dreiner, H.E. Haber and S.P. Martin, Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry, Phys. Rept. 494 (2010) 1 [arXiv:0812.1594] [INSPIRE].
S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations, Cambridge University Press, Cambridge, U.K. (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2205.12982
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Engelbrecht, L., Jones, C.R.T. & Paranjape, S. Supersymmetric Massive Gravity. J. High Energ. Phys. 2022, 130 (2022). https://doi.org/10.1007/JHEP10(2022)130
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2022)130