Abstract
There has been considerable recent interest in type II string compactifications on AdS3×S3×M4 due to both new progress in the AdS3/CFT2 correspondence and an independent search for new \( \mathcal{N} \) = (4, 0) supergravity solutions. In this work we report a new family of small \( \mathcal{N} \) = (4, 0) preserving warped AdS3×S3×CY2 compactifications of type IIB supergravity. The S3 in this family is non trivially fibered over the CY2. We show how these new solutions provide a IIB embedding of minimal ungauged d = 5 supergravity coupled to an Abelian vector multiplet. We also make a few initial steps towards the identification of dual CFT2 candidates. Specifically, we study the Kaluza-Klein spectrum of the spin two and certain vector fluctuations that are expected to be dual to the stress-energy tensor, SU(2) R current and several other BPS operator families in the dual CFT2.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
S. Elitzur, O. Feinerman, A. Giveon and D. Tsabar, String theory on AdS3 × S3 × S3 × S1, Phys. Lett. B 449 (1999) 180 [hep-th/9811245] [INSPIRE].
J.M. Maldacena and H. Ooguri, Strings in AdS3 and SL(2, R) WZW model. I. The Spectrum, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053] [INSPIRE].
J.M. Maldacena, H. Ooguri and J. Son, Strings in AdS3 and the SL(2, R) WZW model. II. Euclidean black hole, J. Math. Phys. 42 (2001) 2961 [hep-th/0005183] [INSPIRE].
J.M. Maldacena and H. Ooguri, Strings in AdS3 and the SL(2, R) WZW model. III. Correlation functions, Phys. Rev. D 65 (2002) 106006 [hep-th/0111180] [INSPIRE].
J. de Boer, Six-dimensional supergravity on S3 × AdS3 and 2-D conformal field theory, Nucl. Phys. B 548 (1999) 139 [hep-th/9806104] [INSPIRE].
J. de Boer, A. Pasquinucci and K. Skenderis, AdS/CFT dualities involving large 2-D N = 4 superconformal symmetry, Adv. Theor. Math. Phys. 3 (1999) 577 [hep-th/9904073] [INSPIRE].
J.M. Maldacena and A. Strominger, AdS3 black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [hep-th/9804085] [INSPIRE].
D. Kutasov, F. Larsen and R.G. Leigh, String theory in magnetic monopole backgrounds, Nucl. Phys. B 550 (1999) 183 [hep-th/9812027] [INSPIRE].
R. Argurio, A. Giveon and A. Shomer, Superstrings on AdS3 and symmetric products, JHEP 12 (2000) 003 [hep-th/0009242] [INSPIRE].
S. Gukov, E. Martinec, G.W. Moore and A. Strominger, The Search for a holographic dual to AdS3 × S3 × S3 × S1, Adv. Theor. Math. Phys. 9 (2005) 435 [hep-th/0403090] [INSPIRE].
L. Eberhardt, M.R. Gaberdiel and W. Li, A holographic dual for string theory on AdS3 × S3 × S3 × S1, JHEP 08 (2017) 111 [arXiv:1707.02705] [INSPIRE].
L. Eberhardt and M.R. Gaberdiel, Strings on AdS3 × S3 × S3 × S1, JHEP 06 (2019) 035 [arXiv:1904.01585] [INSPIRE].
L. Eberhardt, M.R. Gaberdiel and R. Gopakumar, The Worldsheet Dual of the Symmetric Product CFT, JHEP 04 (2019) 103 [arXiv:1812.01007] [INSPIRE].
Y. Sugawara, N = (0, 4) quiver SCFT(2) and supergravity on AdS3 × S2, JHEP 06 (1999) 035 [hep-th/9903120] [INSPIRE].
F. Larsen and E.J. Martinec, Currents and moduli in the (4, 0) theory, JHEP 11 (1999) 002 [hep-th/9909088] [INSPIRE].
K. Okuyama, D1-D5 on ALE space, JHEP 12 (2005) 042 [hep-th/0510195] [INSPIRE].
E. O Colgáin, J.-B. Wu and H. Yavartanoo, Supersymmetric AdS3 × S2 M-theory geometries with fluxes, JHEP 08 (2010) 114 [arXiv:1005.4527] [INSPIRE].
Y. Lozano, N.T. Macpherson, J. Montero and E.Ó. Colgáin, New AdS3 × S2 T-duals with \( \mathcal{N} \) = (0, 4) supersymmetry, JHEP 08 (2015) 121 [arXiv:1507.02659] [INSPIRE].
C. Couzens et al., F-theory and AdS3/CFT2, JHEP 08 (2017) 043 [arXiv:1705.04679] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Nunez and A. Ramirez, AdS3 solutions in Massive IIA with small N = (4, 0) supersymmetry, JHEP 01 (2020) 129 [arXiv:1908.09851] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Nunez and A. Ramirez, 1/4 BPS solutions and the AdS3/CFT2 correspondence, Phys. Rev. D 101 (2020) 026014 [arXiv:1909.09636] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Nunez and A. Ramirez, Two dimensional \( \mathcal{N} \) = (0, 4) quivers dual to AdS3 solutions in massive IIA, JHEP 01 (2020) 140 [arXiv:1909.10510] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Nunez and A. Ramirez, AdS3 solutions in massive IIA, defect CFTs and T-duality, JHEP 12 (2019) 013 [arXiv:1909.11669] [INSPIRE].
F. Faedo, Y. Lozano and N. Petri, New \( \mathcal{N} \) = (0, 4) AdS3 near-horizons in Type IIB, JHEP 04 (2021) 028 [arXiv:2012.07148] [INSPIRE].
G. Dibitetto and N. Petri, AdS3 from M-branes at conical singularities, JHEP 01 (2021) 129 [arXiv:2010.12323] [INSPIRE].
F. Faedo, Y. Lozano and N. Petri, Searching for surface defect CFTs within AdS3, JHEP 11 (2020) 052 [arXiv:2007.16167] [INSPIRE].
S. Zacarias, Marginal deformations of a class of AdS3\( \mathcal{N} \) = (0, 4) holographic backgrounds, JHEP 06 (2021) 017 [arXiv:2102.05681] [INSPIRE].
C. Couzens, Y. Lozano, N. Petri and S. Vandoren, N = (0, 4) black string chains, Phys. Rev. D 105 (2022) 086015 [arXiv:2109.10413] [INSPIRE].
C. Couzens, H. het Lam, K. Mayer and S. Vandoren, Anomalies of (0, 4) SCFTs from F-theory, JHEP 08 (2020) 060 [arXiv:2006.07380] [INSPIRE].
N.T. Macpherson and A. Ramirez, AdS3 × S2 in IIB with small \( \mathcal{N} \) = (4, 0) supersymmetry, JHEP 04 (2022) 143 [arXiv:2202.00352] [INSPIRE].
Y. Lozano, N.T. Macpherson, N. Petri and C. Risco, New AdS3/CFT2 pairs in massive IIA with (0, 4) and (4, 4) supersymmetries, JHEP 09 (2022) 130 [arXiv:2206.13541] [INSPIRE].
N.T. Macpherson, Type II solutions on AdS3 × S3 × S3 with large superconformal symmetry, JHEP 05 (2019) 089 [arXiv:1812.10172] [INSPIRE].
L. Eberhardt, M.R. Gaberdiel, R. Gopakumar and W. Li, BPS spectrum on AdS3 × S3 × S3 × S1, JHEP 03 (2017) 124 [arXiv:1701.03552] [INSPIRE].
B. Biran et al., The Fluctuating Seven Sphere in Eleven-dimensional Supergravity, Phys. Lett. B 134 (1984) 179 [INSPIRE].
H.J. Kim, L.J. Romans and P. van Nieuwenhuizen, The Mass Spectrum of Chiral N = 2 D = 10 Supergravity on S5, Phys. Rev. D 32 (1985) 389 [INSPIRE].
A. Ceresole, G. Dall’Agata, R. D’Auria and S. Ferrara, Spectrum of type IIB supergravity on AdS5 × T11: Predictions on N = 1 SCFT’s, Phys. Rev. D 61 (2000) 066001 [hep-th/9905226] [INSPIRE].
E. Malek and H. Samtleben, Kaluza-Klein Spectrometry for Supergravity, Phys. Rev. Lett. 124 (2020) 101601 [arXiv:1911.12640] [INSPIRE].
E. Malek and H. Samtleben, Kaluza-Klein Spectrometry from Exceptional Field Theory, Phys. Rev. D 102 (2020) 106016 [arXiv:2009.03347] [INSPIRE].
C. Eloy, Kaluza-Klein spectrometry for AdS3 vacua, SciPost Phys. 10 (2021) 131 [arXiv:2011.11658] [INSPIRE].
C. Bachas and J. Estes, Spin-2 spectrum of defect theories, JHEP 06 (2011) 005 [arXiv:1103.2800] [INSPIRE].
A. Passias and A. Tomasiello, Spin-2 spectrum of six-dimensional field theories, JHEP 12 (2016) 050 [arXiv:1604.04286] [INSPIRE].
A. Passias and P. Richmond, Perturbing AdS6 × w S4: linearised equations and spin-2 spectrum, JHEP 07 (2018) 058 [arXiv:1804.09728] [INSPIRE].
D. Andriot and D. Tsimpis, Gravitational waves in warped compactifications, JHEP 06 (2020) 100 [arXiv:1911.01444] [INSPIRE].
D. Andriot, P. Marconnet and D. Tsimpis, Warp factor and the gravitational wave spectrum, JCAP 07 (2021) 040 [arXiv:2103.09240] [INSPIRE].
A. Legramandi and A. Tomasiello, Breaking supersymmetry with pure spinors, JHEP 11 (2020) 098 [arXiv:1912.00001] [INSPIRE].
I. Bakas and K. Sfetsos, Toda fields of SO(3) hyperKahler metrics and free field realizations, Int. J. Mod. Phys. A 12 (1997) 2585 [hep-th/9604003] [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].
J.B. Gutowski, D. Martelli and H.S. Reall, All Supersymmetric solutions of minimal supergravity in six- dimensions, Class. Quant. Grav. 20 (2003) 5049 [hep-th/0306235] [INSPIRE].
L. Andrianopoli, S. Ferrara and M.A. Lledo, No-scale D = 5 supergravity from Scherk-Schwarz reduction of D = 6 theories, JHEP 06 (2004) 018 [hep-th/0406018] [INSPIRE].
K. Hristov and A. Rota, 6d-5d-4d reduction of BPS attractors in flat gauged supergravities, Nucl. Phys. B 897 (2015) 213 [arXiv:1410.5386] [INSPIRE].
C. Couzens, N.T. Macpherson and A. Passias, A plethora of Type IIA embeddings for d = 5 minimal supergravity, JHEP 01 (2023) 047 [arXiv:2209.15540] [INSPIRE].
K. Behrndt, A.H. Chamseddine and W.A. Sabra, BPS black holes in N = 2 five-dimensional AdS supergravity, Phys. Lett. B 442 (1998) 97 [hep-th/9807187] [INSPIRE].
S. Deger, A. Kaya, E. Sezgin and P. Sundell, Spectrum of D = 6, N = 4b supergravity on AdS3 × S3, Nucl. Phys. B 536 (1998) 110 [hep-th/9804166] [INSPIRE].
M. Berg, M. Haack and W. Mueck, Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT, Nucl. Phys. B 789 (2008) 1 [hep-th/0612224] [INSPIRE].
M.K. Benna, A. Dymarsky, I.R. Klebanov and A. Solovyov, On Normal Modes of a Warped Throat, JHEP 06 (2008) 070 [arXiv:0712.4404] [INSPIRE].
A. Dymarsky, D. Melnikov and A. Solovyov, I-odd sector of the Klebanov-Strassler theory, JHEP 05 (2009) 105 [arXiv:0810.5666] [INSPIRE].
I. Gordeli and D. Melnikov, On I-even Singlet Glueballs in the Klebanov-Strassler Theory, JHEP 08 (2011) 082 [arXiv:0912.5517] [INSPIRE].
D. Melnikov and C.R. Filho, Pseudoscalar glueballs in the Klebanov-Strassler Theory, JHEP 01 (2021) 024 [arXiv:2007.11952] [INSPIRE].
N. Bobev et al., Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT, JHEP 04 (2021) 208 [arXiv:2012.07089] [INSPIRE].
M. Cesaro, G. Larios and O. Varela, Supersymmetric spectroscopy on AdS4 × S7 and AdS4 × S6, JHEP 07 (2021) 094 [arXiv:2103.13408] [INSPIRE].
C. Csaki, J. Erlich, T.J. Hollowood and Y. Shirman, Universal aspects of gravity localized on thick branes, Nucl. Phys. B 581 (2000) 309 [hep-th/0001033] [INSPIRE].
M. Gunaydin, J.L. Petersen, A. Taormina and A. Van Proeyen, On the Unitary Representations of a Class of N = 4 Superconformal Algebras, Nucl. Phys. B 322 (1989) 402 [INSPIRE].
A. Sevrin, W. Troost and A. Van Proeyen, Superconformal Algebras in Two-Dimensions with N = 4, Phys. Lett. B 208 (1988) 447 [INSPIRE].
A. Dymarsky and D. Melnikov, Gravity Multiplet on KS and BB Backgrounds, JHEP 05 (2008) 035 [arXiv:0710.4517] [INSPIRE].
M. Berkooz and R.G. Leigh, A D = 4 N = 1 orbifold of type I strings, Nucl. Phys. B 483 (1997) 187 [hep-th/9605049] [INSPIRE].
I. Bah, Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface, JHEP 08 (2013) 137 [arXiv:1304.4954] [INSPIRE].
T. Eguchi and A. Taormina, Unitary Representations of N = 4 Superconformal Algebra, Phys. Lett. B 196 (1987) 75 [INSPIRE].
S. Matsuda and T. Uematsu, Chiral Superspace Formulation of N = 4 Superconformal Algebras, Phys. Lett. B 220 (1989) 413 [INSPIRE].
F. Kos and J. Oh, 2d small N = 4 Long-multiplet superconformal block, JHEP 02 (2019) 001 [arXiv:1810.10029] [INSPIRE].
T. Eguchi and A. Taormina, Character Formulas for the N = 4 Superconformal Algebra, Phys. Lett. B 200 (1988) 315 [INSPIRE].
M.R. Gaberdiel and R. Gopakumar, Large N = 4 Holography, JHEP 09 (2013) 036 [arXiv:1305.4181] [INSPIRE].
M. Lachieze-Rey and S. Caillerie, Laplacian eigenmodes for spherical spaces, Class. Quant. Grav. 22 (2005) 695 [astro-ph/0501419] [INSPIRE].
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].
T. Fleury, N. Macpherson, D. Melnikov, M. Lima and L. Ypanaqué, Universal spin 1 modes for D5 brane backgrounds, in preparation.
D. Friedan, E.J. Martinec and S.H. Shenker, Conformal Invariance, Supersymmetry and String Theory, Nucl. Phys. B 271 (1986) 93 [INSPIRE].
P. Horava, Strings on World Sheet Orbifolds, Nucl. Phys. B 327 (1989) 461 [INSPIRE].
A. Dabholkar and J. Park, Strings on orientifolds, Nucl. Phys. B 477 (1996) 701 [hep-th/9604178] [INSPIRE].
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: 2211.02702
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
Lima, M., Macpherson, N.T., Melnikov, D. et al. On generalised D1-D5 near horizons and their spectra. J. High Energ. Phys. 2023, 60 (2023). https://doi.org/10.1007/JHEP04(2023)060
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2023)060