Abstract
For several classes of BPS vacua, we find a procedure to modify the PDEs that imply preserved supersymmetry and the equations of motion so that they still imply the latter but not the former. In each case we trace back this supersymmetry-breaking deformation to a distinct modification of the pure spinor equations that provide a geometrical interpretation of supersymmetry. We give some concrete examples: first we generalize the Imamura class of Mink6 solutions by removing a symmetry requirement, and then derive some local and global solutions both before and after breaking supersymmetry.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. Strominger, Superstrings with torsion, Nucl. Phys. B 274 (1986) 253 [INSPIRE].
J.P. Gauntlett and S. Pakis, The geometry of D = 11 Killing spinors, JHEP 04 (2003) 039 [hep-th/0212008] [INSPIRE].
M. Graña, R. Minasian, M. Petrini and A. Tomasiello, Generalized structures of N = 1 vacua, JHEP 11 (2005) 020 [hep-th/0505212] [INSPIRE].
D. Lüst, F. Marchesano, L. Martucci and D. Tsimpis, Generalized non-supersymmetric flux vacua, JHEP 11 (2008) 021 [arXiv:0807.4540] [INSPIRE].
Y. Imamura, 1/4 BPS solutions in massive IIA supergravity, Prog. Theor. Phys. 106 (2001) 653 [hep-th/0105263] [INSPIRE].
N. Bobev, G. Dibitetto, F.F. Gautason and B. Truijen, Holography, Brane Intersections and Six-dimensional SCFTs, JHEP 02 (2017) 116 [arXiv:1612.06324] [INSPIRE].
N.T. Macpherson and A. Tomasiello, Minimal flux Minkowski classification, JHEP 09 (2017) 126 [arXiv:1612.06885] [INSPIRE].
F. Apruzzi, M. Fazzi, D. Rosa and A. Tomasiello, All AdS7 solutions of type-II supergravity, JHEP 04 (2014) 064 [arXiv:1309.2949] [INSPIRE].
B. Janssen, P. Meessen and T. Ortín, The D8-brane tied up: string and brane solutions in massive type IIA supergravity, Phys. Lett. B 453 (1999) 229 [hep-th/9901078] [INSPIRE].
J. Blåbäck, B. Janssen, T. Van Riet and B. Vercnocke, BPS domain walls from backreacted orientifolds, JHEP 05 (2014) 040 [arXiv:1312.6125] [INSPIRE].
J. Blåbäck, E. van der Woerd, T. Van Riet and M. Williams, Domain walls inside localised orientifolds, JHEP 12 (2015) 078 [arXiv:1510.03984] [INSPIRE].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].
A. Passias, A. Rota and A. Tomasiello, Universal consistent truncation for 6d/7d gauge/gravity duals, JHEP 10 (2015) 187 [arXiv:1506.05462] [INSPIRE].
E. Bergshoeff, R. Kallosh, T. Ortín, D. Roest and A. Van Proeyen, New formulations of D = 10 supersymmetry and D8-O8 domain walls, Class. Quant. Grav. 18 (2001) 3359 [hep-th/0103233] [INSPIRE].
M. Graña, R. Minasian, M. Petrini and A. Tomasiello, A scan for new N = 1 vacua on twisted tori, JHEP 05 (2007) 031 [hep-th/0609124] [INSPIRE].
P. Koerber and L. Martucci, From ten to four and back again: how to generalize the geometry, JHEP 08 (2007) 059 [arXiv:0707.1038] [INSPIRE].
D. Lüst, P. Patalong and D. Tsimpis, Generalized geometry, calibrations and supersymmetry in diverse dimensions, JHEP 01 (2011) 063 [arXiv:1010.5789] [INSPIRE].
A. Legramandi and N.T. Macpherson, Mink4 × S2 solutions of 10 and 11 dimensional supergravity, JHEP 07 (2019) 134 [arXiv:1811.11224] [INSPIRE].
D. Youm, Partially localized intersecting BPS branes, Nucl. Phys. B 556 (1999) 222 [hep-th/9902208] [INSPIRE].
F. Apruzzi, J.C. Geipel, A. Legramandi, N.T. Macpherson and M. Zagermann, Minkowski4 × S2 solutions of IIB supergravity, Fortsch. Phys. 66 (2018) 1800006 [arXiv:1801.00800] [INSPIRE].
M. Graña and J. Polchinski, Supersymmetric three form flux perturbations on AdS5, Phys. Rev. D 63 (2001) 026001 [hep-th/0009211] [INSPIRE].
S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [INSPIRE].
K. Becker and M. Becker, M theory on eight manifolds, Nucl. Phys. B 477 (1996) 155 [hep-th/9605053] [INSPIRE].
K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [INSPIRE].
J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018] [INSPIRE].
D. Andriot and D. Tsimpis, Gravitational waves in warped compactifications, JHEP 06 (2020) 100 [arXiv:1911.01444] [INSPIRE].
C. Córdova, G.B. De Luca and A. Tomasiello, Classical de Sitter solutions of 10-dimensional supergravity, Phys. Rev. Lett. 122 (2019) 091601 [arXiv:1812.04147] [INSPIRE].
J. Blaback, U.H. Danielsson, D. Junghans, T. Van Riet, T. Wrase and M. Zagermann, The problematic backreaction of SUSY-breaking branes, JHEP 08 (2011) 105 [arXiv:1105.4879] [INSPIRE].
L.C. Evans, Partial differential equations, Graduate Studies in Mathematics 19, American Mathematical Society, U.S.A. (2002).
M. Dunajski, L.J. Mason and P. Tod, Einstein-Weyl geometry, the dKP equation and twistor theory, J. Geom. Phys. 37 (2001) 63.
H. Lin and J.M. Maldacena, Fivebranes from gauge theory, Phys. Rev. D 74 (2006) 084014 [hep-th/0509235] [INSPIRE].
R. Ward, Einstein-Weyl spaces and SU(∞) Toda fields, Class. Quant. Grav. 7 (1990) L95.
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: 1912.00001
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
Legramandi, A., Tomasiello, A. Breaking supersymmetry with pure spinors. J. High Energ. Phys. 2020, 98 (2020). https://doi.org/10.1007/JHEP11(2020)098
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2020)098