Abstract
In six- and seven-dimensional gauged supergravity, each scalar potential has one supersymmetric and one non-supersymmetric fixed points. The non-supersymmetric AdS7 fixed point is perturbatively unstable. On the other hand, the non-supersymmetric AdS6 fixed point is known to be perturbatively stable. In this note we examine the newly proposed non-perturbative decay channel, called brane-jet instabilities of the AdS6 and AdS7 vacua. We find that when they are uplifted to massive type IIA and eleven- dimensional supergravity, respectively, the non-supersymmetric AdS6 and AdS7 vacua are both brane-jet unstable, in fond of the weak gravity conjecture.
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References
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Positive Energy in anti-de Sitter Backgrounds and Gauged Extended Supergravity, Phys. Lett. B 115 (1982) 197 [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Stability in Gauged Extended Supergravity, Annals Phys. 144 (1982) 249 [INSPIRE].
G.W. Gibbons, C.M. Hull and N.P. Warner, The Stability of Gauged Supergravity, Nucl. Phys. B 218 (1983) 173 [INSPIRE].
P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong and C. Vafa, Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d SU(2) SYM, JHEP 05 (2020) 058 [arXiv:2001.00023] [INSPIRE].
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [hep-th/0601001] [INSPIRE].
H. Ooguri and C. Vafa, Non-supersymmetric AdS and the Swampland, Adv. Theor. Math. Phys. 21 (2017) 1787 [arXiv:1610.01533] [INSPIRE].
I. Bena, K. Pilch and N.P. Warner, Brane-Jet Instabilities, arXiv:2003.02851 [INSPIRE].
N.P. Warner, Some Properties of the Scalar Potential in Gauged Supergravity Theories, Nucl. Phys. B 231 (1984) 250 [INSPIRE].
N.P. Warner, Some New Extrema of the Scalar Potential of Gauged N = 8 Supergravity, Phys. Lett. B 128 (1983) 169 [INSPIRE].
B. de Wit and H. Nicolai, N = 8 Supergravity, Nucl. Phys. B 208 (1982) 323 [INSPIRE].
A. Khavaev, K. Pilch and N.P. Warner, New vacua of gauged N = 8 supergravity in five-dimensions, Phys. Lett. B 487 (2000) 14 [hep-th/9812035] [INSPIRE].
A. Guarino, J. Tarrio and O. Varela, Brane-jet stability of non-supersymmetric AdS vacua, JHEP 09 (2020) 110 [arXiv:2005.07072] [INSPIRE].
J.M. Maldacena, J. Michelson and A. Strominger, Anti-de Sitter fragmentation, JHEP 02 (1999) 011 [hep-th/9812073] [INSPIRE].
F. Apruzzi, G. Bruno De Luca, A. Gnecchi, G. Lo Monaco and A. Tomasiello, On AdS7 stability, JHEP 07 (2020) 033 [arXiv:1912.13491] [INSPIRE].
G.T. Horowitz, J. Orgera and J. Polchinski, Nonperturbative Instability of AdS5 × S5 /ℤk , Phys. Rev. D 77 (2008) 024004 [arXiv:0709.4262] [INSPIRE].
D. Gaiotto and A. Tomasiello, The gauge dual of Romans mass, JHEP 01 (2010) 015 [arXiv:0901.0969] [INSPIRE].
P. Narayan and S.P. Trivedi, On The Stability Of Non-Supersymmetric AdS Vacua, JHEP 07 (2010) 089 [arXiv:1002.4498] [INSPIRE].
H. Ooguri and L. Spodyneiko, New Kaluza-Klein instantons and the decay of AdS vacua, Phys. Rev. D 96 (2017) 026016 [arXiv:1703.03105] [INSPIRE].
L.J. Romans, The F (4) Gauged Supergravity in Six-dimensions, Nucl. Phys. B 269 (1986) 691 [INSPIRE].
P.K. Townsend and P. van Nieuwenhuizen, Gauged seven-dimensional supergravity, Phys. Lett. B 125 (1983) 41 [INSPIRE].
L. Mezincescu, P.K. Townsend and P. van Nieuwenhuizen, Stability of Gauged d = 7 Supergravity and the Definition of Masslessness in (AdS)7 , Phys. Lett. B 143 (1984) 384 [INSPIRE].
M. Pernici, K. Pilch and P. van Nieuwenhuizen, Gauged Maximally Extended Supergravity in Seven-dimensions, Phys. Lett. B 143 (1984) 103 [INSPIRE].
M. Pernici, K. Pilch, P. van Nieuwenhuizen and N.P. Warner, Noncompact Gaugings and Critical Points of Maximal Supergravity in Seven-dimensions, Nucl. Phys. B 249 (1985) 381 [INSPIRE].
H. Nastase, D. Vaman and P. van Nieuwenhuizen, Consistent nonlinear K K reduction of 11d supergravity on AdS7 × S4 and selfduality in odd dimensions, Phys. Lett. B 469 (1999) 96 [hep-th/9905075] [INSPIRE].
H. Nastase, D. Vaman and P. van Nieuwenhuizen, Consistency of the AdS7 × S4 reduction and the origin of selfduality in odd dimensions, Nucl. Phys. B 581 (2000) 179 [hep-th/9911238] [INSPIRE].
H. Nastase and D. Vaman, On the nonlinear KK reductions on spheres of supergravity theories, Nucl. Phys. B 583 (2000) 211 [hep-th/0002028] [INSPIRE].
H. Lü and C.N. Pope, Exact embedding of N = 1, D = 7 gauged supergravity in D = 11, Phys. Lett. B 467 (1999) 67 [hep-th/9906168] [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].
M. Cvetič, H. Lü and C.N. Pope, Gauged six-dimensional supergravity from massive type IIA, Phys. Rev. Lett. 83 (1999) 5226 [hep-th/9906221] [INSPIRE].
J. Jeong, O. Kelekci and E. O Colgain, An alternative IIB embedding of F (4) gauged supergravity, JHEP 05 (2013) 079 [arXiv:1302.2105] [INSPIRE].
J. Hong, J.T. Liu and D.R. Mayerson, Gauged Six-Dimensional Supergravity from Warped IIB Reductions, JHEP 09 (2018) 140 [arXiv:1808.04301] [INSPIRE].
E. Malek, H. Samtleben and V. Vall Camell, Supersymmetric AdS7 and AdS6 vacua and their minimal consistent truncations from exceptional field theory, Phys. Lett. B 786 (2018) 171 [arXiv:1808.05597] [INSPIRE].
E. D’Hoker, M. Gutperle, A. Karch and C.F. Uhlemann, Warped AdS6 × S2 in Type IIB supergravity I: Local solutions, JHEP 08 (2016) 046 [arXiv:1606.01254] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Holographic duals for five-dimensional superconformal quantum field theories, Phys. Rev. Lett. 118 (2017) 101601 [arXiv:1611.09411] [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].
F. Apruzzi, G. Dibitetto and L. Tizzano, A new 6d fixed point from holography, JHEP 11 (2016) 126 [arXiv:1603.06576] [INSPIRE].
U.H. Danielsson, G. Dibitetto and S.C. Vargas, A swamp of non-SUSY vacua, JHEP 11 (2017) 152 [arXiv:1708.03293] [INSPIRE].
L.J. Romans, Massive N = 2a Supergravity in Ten-Dimensions, Phys. Lett. B 169 (1986) 374 [INSPIRE].
A. Brandhuber and Y. Oz, The D4-D8 brane system and five-dimensional fixed points, Phys. Lett. B 460 (1999) 307 [hep-th/9905148] [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
E. Cremmer, B. Julia and J. Scherk, Supergravity Theory in Eleven-Dimensions, Phys. Lett. B 76 (1978) 409 [INSPIRE].
U. Gürsoy, C. Núñez and M. Schvellinger, RG flows from spin(7), CY 4 fold and HK manifolds to AdS, Penrose limits and pp waves, JHEP 06 (2002) 015 [hep-th/0203124] [INSPIRE].
K. Pilch and N.P. Warner, N = 1 supersymmetric renormalization group flows from IIB supergravity, Adv. Theor. Math. Phys. 4 (2002) 627 [hep-th/0006066] [INSPIRE].
C.V. Johnson, K.J. Lovis and D.C. Page, Probing some N = 1 AdS/CFT RG flows, JHEP 05 (2001) 036 [hep-th/0011166] [INSPIRE].
V.L. Campos, G. Ferretti, H. Larsson, D. Martelli and B.E.W. Nilsson, A Study of holographic renormalization group flows in D = 6 and D = 3, JHEP 06 (2000) 023 [hep-th/0003151] [INSPIRE].
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Suh, M. The non-SUSY AdS6 and AdS7 fixed points are brane-jet unstable. J. High Energ. Phys. 2020, 10 (2020). https://doi.org/10.1007/JHEP10(2020)010
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DOI: https://doi.org/10.1007/JHEP10(2020)010