Abstract
We study (massive) spin-2 fluctuations around warped AdS6 solutions with 16 supersymmetries in type IIB supergravity. We identify two classes of fluctuations which are universally present for all solutions of this form. The holographically dual operators have scaling dimensions Δ = 5 + 3ℓ and Δ = 6 + 3ℓ, where the integer ℓ encodes the R-symmetry charge. They are identified as descendant states in respective BPS multiplets (the current multiplet for Δ = 5). We also compute the normalization of the energy-momentum tensor two-point function and show that it is related to the S5 partition function of the dual 5d SCFTs.
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References
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].
D.R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories, Nucl. Phys. B 483 (1997) 229 [hep-th/9609070] [INSPIRE].
K.A. Intriligator, D.R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces, Nucl. Phys. B 497 (1997) 56 [hep-th/9702198] [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].
O. Bergman and D. Rodríguez-Gómez, 5d quivers and their AdS6 duals, JHEP 07 (2012) 171 [arXiv:1206.3503] [INSPIRE].
A. Passias, A note on supersymmetric AdS 6 solutions of massive type IIA supergravity, JHEP 01 (2013) 113 [arXiv:1209.3267] [INSPIRE].
E. D’Hoker, M. Gutperle, A. Karch and C.F. Uhlemann, Warped AdS 6 × S 2 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].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Warped AdS 6 × S 2 in Type IIB supergravity II: Global solutions and five-brane webs, JHEP 05 (2017) 131 [arXiv:1703.08186] [INSPIRE].
D. Corbino, E. D’Hoker and C.F. Uhlemann, AdS 2 × S 6 versus AdS 6 × S 2 in Type IIB supergravity, JHEP 03 (2018) 120 [arXiv:1712.04463] [INSPIRE].
Y. Lozano, E. Ó. Colgáin, D. Rodríguez-Gómez and K. Sfetsos, Supersymmetric AdS6 via T Duality, Phys. Rev. Lett. 110 (2013) 231601 [arXiv:1212.1043] [INSPIRE].
Y. Lozano, E. Ó. Colgáin and D. Rodríguez-Gómez,, Hints of 5d Fixed Point Theories from Non-Abelian T-duality, JHEP 05 (2014) 009 [arXiv:1311.4842] [INSPIRE].
F. Apruzzi, M. Fazzi, A. Passias, D. Rosa and A. Tomasiello, AdS 6 solutions of type-II supergravity, JHEP 11 (2014) 099 [Erratum JHEP 05 (2015) 012] [arXiv:1406.0852] [INSPIRE].
Ö. Kelekci, Y. Lozano, N.T. Macpherson and E. Ó. Colgáin, Supersymmetry and non-Abelian T-duality in type-II supergravity, Class. Quant. Grav. 32 (2015) 035014 [arXiv:1409.7406] [INSPIRE].
H. Kim, N. Kim and M. Suh, Supersymmetric AdS 6 Solutions of Type IIB Supergravity, Eur. Phys. J. C 75 (2015) 484 [arXiv:1506.05480] [INSPIRE].
H. Kim and N. Kim, Comments on the symmetry of AdS 6 solutions in string/M-theory and Killing spinor equations, Phys. Lett. B 760 (2016) 780 [arXiv:1604.07987] [INSPIRE].
O. Aharony, A. Hanany and B. Kol, Webs of (p, q) five-branes, five-dimensional field theories and grid diagrams, JHEP 01 (1998) 002 [hep-th/9710116] [INSPIRE].
O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points, Nucl. Phys. B 504 (1997) 239 [hep-th/9704170] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Warped AdS 6 × S 2 in Type IIB supergravity III: Global solutions with seven-branes, JHEP 11 (2017) 200 [arXiv:1706.00433] [INSPIRE].
M. Gutperle, A. Trivella and C.F. Uhlemann, Type IIB 7-branes in warped AdS 6 : partition functions, brane webs and probe limit, JHEP 04 (2018) 135 [arXiv:1802.07274] [INSPIRE].
M. Gutperle, C. Marasinou, A. Trivella and C.F. Uhlemann, Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs, JHEP 09 (2017) 125 [arXiv:1705.01561] [INSPIRE].
J. Kaidi, (p,q)-strings probing five-brane webs, JHEP 10 (2017) 087 [arXiv:1708.03404] [INSPIRE].
W. Nahm, Supersymmetries and their Representations, Nucl. Phys. B 135 (1978) 149 [INSPIRE].
V.G. Kac, Lie Superalgebras, Adv. Math. 26 (1977) 8 [INSPIRE].
S. Shnider, The Superconformal Algebra In Higher Dimensions, Lett. Math. Phys. 16 (1988) 377 [INSPIRE].
M. Buican, J. Hayling and C. Papageorgakis, Aspects of Superconformal Multiplets in D > 4, JHEP 11 (2016) 091 [arXiv:1606.00810] [INSPIRE].
C. Cordova, T.T. Dumitrescu and K. Intriligator, Multiplets of Superconformal Symmetry in Diverse Dimensions, arXiv:1612.00809 [INSPIRE].
H.J. Kim, L.J. Romans and P. van Nieuwenhuizen, The Mass Spectrum of Chiral N = 2 D = 10 Supergravity on S 5, Phys. Rev. D 32 (1985) 389[INSPIRE].
M. Günaydin and N. Marcus, The Spectrum of the S 5 Compactification of the Chiral N = 2, D=10 Supergravity and the Unitary Supermultiplets of U(2,2/4), Class. Quant. Grav. 2 (1985) L11 [INSPIRE].
C. Bachas and J. Estes, Spin-2 spectrum of defect theories, JHEP 06 (2011) 005 [arXiv:1103.2800] [INSPIRE].
I.R. Klebanov, S.S. Pufu and F.D. Rocha, The Squashed, Stretched and Warped Gets Perturbed, JHEP 06 (2009) 019 [arXiv:0904.1009] [INSPIRE].
J.-M. Richard, R. Terrisse and D. Tsimpis, On the spin-2 Kaluza-Klein spectrum of AdS4 × S 2(ℬ4), JHEP 12 (2014) 144 [arXiv:1410.4669] [INSPIRE].
A. Passias and A. Tomasiello, Spin-2 spectrum of six-dimensional field theories, JHEP 12 (2016) 050 [arXiv:1604.04286] [INSPIRE].
J. Schmude and O. Vasilakis, Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS 3, JHEP 10 (2016) 096 [arXiv:1605.00636] [INSPIRE].
Y. Pang, J. Rong and O. Varela, Spectrum universality properties of holographic Chern-Simons theories, JHEP 01 (2018) 061 [arXiv:1711.07781] [INSPIRE].
A. Passias and P. Richmond, Perturbing AdS 6 ×w S 4 : linearised equations and spin-2 spectrum, arXiv:1804.09728 [INSPIRE].
J.P. Gauntlett and O. Varela, Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions, Phys. Rev. D 76 (2007) 126007 [arXiv:0707.2315] [INSPIRE].
C.-M. Chang, M. Fluder, Y.-H. Lin and Y. Wang, Spheres, Charges, Instantons and Bootstrap: A Five-Dimensional Odyssey, JHEP 03 (2018) 123 [arXiv:1710.08418] [INSPIRE].
J. Polchinski, String theory. Volume 2: Superstring theory and beyond, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge U.K. (2007) [ISBN: 9780511252280, 9780521633048, 9780521672283] [INSPIRE].
F. Benini, S. Benvenuti and Y. Tachikawa, Webs of five-branes and N = 2 superconformal field theories, JHEP 09 (2009) 052 [arXiv:0906.0359] [INSPIRE].
C.-M. Chang, M. Fluder, Y.-H. Lin and Y. Wang, Romans Supergravity from Five-Dimensional Holograms, JHEP 05 (2018) 039 [arXiv:1712.10313] [INSPIRE].
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Gutperle, M., Uhlemann, C.F. & Varela, O. Massive spin 2 excitations in AdS6 × S2 warped spacetimes. J. High Energ. Phys. 2018, 91 (2018). https://doi.org/10.1007/JHEP07(2018)091
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DOI: https://doi.org/10.1007/JHEP07(2018)091