Abstract
We describe a field theory for “massive dual gravity” in N spacetime dimensions. We obtain a Lagrangian that gives the lowest order coupling of the field to the N -dimensional curl of its own energy-momentum tensor. We then briefly discuss classical solutions. Finally, we show the theory is the exact dual of the Ogievetsky-Polubarinov model generalized to any N.
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References
P.G.O. Freund, A. Maheshwari and E. Schonberg, Finite Range Gravitation, Astrophys. J.157 (1969) 857.
J.B. Pitts and W.C. Schieve, Universally coupled massive gravity. I., Theor. Math. Phys.151 (2007) 700 [gr-qc/0503051] [INSPIRE].
J.B. Pitts, Universally Coupled Massive Gravity, II: Densitized Tetrad and Cotetrad Theories, Gen. Rel. Grav.44 (2012) 401 [arXiv:1110.2077] [INSPIRE].
J.B. Pitts, Universally coupled massive gravity, III: dRGT-Maheshwari pure spin-2, Ogievetsky-Polubarinov and arbitrary mass terms, Annals Phys.365 (2016) 73 [arXiv:1505.03492] [INSPIRE].
T. Curtright, Generalized gauge fields, Phys. Lett.165B (1985) 304 [INSPIRE].
T.L. Curtright and P.G.O. Freund, Massive dual fields, Nucl. Phys.B 172 (1980) 413 [INSPIRE].
T.L. Curtright, Massive Dual Spinless Fields Revisited, arXiv:1907.11530 [INSPIRE].
T.L. Curtright and H. Alshal, Massive Dual Spin 2 Revisited, arXiv:1907.11532 [INSPIRE].
T.L. Curtright and C.B. Thorn, Symmetry Patterns in the Mass Spectra of Dual String Models, Nucl. Phys.B 274 (1986) 520 [INSPIRE].
T.L. Curtright, C.B. Thorn and J. Goldstone, Spin Content of the Bosonic String, Phys. Lett.B 175 (1986) 47 [INSPIRE].
T.L. Curtright, G.I. Ghandour and C.B. Thorn, Spin Content of String Models, Phys. Lett.B 182 (1986) 45 [INSPIRE].
T.L. Curtright, Counting symmetry patterns in the spectra of strings, in String Theory, Quantum Cosmology and Quantum Gravity, Integrable and Conformal Invariant Theories, Proceedings of the Paris-Meudon Colloquium, 22-26 September (1986), World Scientific (1987) [ITP-SB-86-74] [INSPIRE].
C.M. Hull, Strongly coupled gravity and duality, Nucl. Phys.B 583 (2000) 237 [hep-th/0004195] [INSPIRE].
C.M. Hull, Duality in gravity and higher spin gauge fields, JHEP09 (2001) 027 [hep-th/0107149] [INSPIRE].
P.C. West, E 11and M -theory, Class. Quant. Grav.18 (2001) 4443 [hep-th/0104081] [INSPIRE].
P. West, A brief review of E theory, Int. J. Mod. Phys.A 31 (2016) 1630043 [arXiv:1609.06863] [INSPIRE].
T. Damour, M. Henneaux and H. Nicolai, E 10and a ‘small tension expansion’ of M-theory, Phys. Rev. Lett.89 (2002) 221601 [hep-th/0207267] [INSPIRE].
A. Danehkar, Electric-Magnetic Duality in Gravity and Higher-Spin Fields, Front. Phys.6 (2019) 146 [INSPIRE].
B. Gonzalez, A. Khoudeir, R. Montemayor and L.F. Urrutia, Duality for massive spin two theories in arbitrary dimensions, JHEP09 (2008) 058 [arXiv:0806.3200] [INSPIRE].
V.I. Ogievetsky and I.V. Polubarinov, Interacting field of spin 2 and the Einstein equations, Annals Phys.35 (1965) 167.
D. Hilbert, Über die Theorie der algebraischen Formen, Math. Ann.36 (1890) 473.
J.J. Sylvester, On a Theory of Syzygetic Relations. . ., Phil. Trans. Roy. Soc. Lond.143 (1853) 407.
T.S. Van Kortryk, The Root of the Problem, https://hal.archives-ouvertes.fr/hal-02273293.
C. Fox, The asymptotic expansion of integral functions defined by generalized hypergeometric series, Proc. Lond. Math. Soc.27 (1928) 389.
P.G.O. Freund and Y. Nambu, Scalar field coupled to the trace of the energy-momentum tensor, Phys. Rev.174 (1968) 1741 [INSPIRE].
S. Deser and L. Halpern, Self-Coupled Scalar Gravitation, Gen. Rel. Grav.1 (1970) 131 [INSPIRE].
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ArXiv ePrint: 1907.11537
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Alshal, H., Curtright, T.L. Massive dual gravity in N spacetime dimensions. J. High Energ. Phys. 2019, 63 (2019). https://doi.org/10.1007/JHEP09(2019)063
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DOI: https://doi.org/10.1007/JHEP09(2019)063