Abstract
We construct supersymmetric solutions of D = 6 gauged supergravity, where is a two-dimensional orbifold known as a spindle. These uplift to solutions of massive type IIA supergravity using a general prescription, that we describe. We argue that these solutions correspond to the near-horizon limit of a system of Nf D8-branes, together with N D4-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. The dual field theories are d = 3, \( \mathcal{N} \) = 2 SCFTs that arise from a twisted compactification of the d = 5, \( \mathcal{N} \) = 1 USp(2N) gauge theory. We show that the holographic free energy associated to these solutions is reproduced by extremizing an off- shell free energy, that we conjecture to arise in the large N limit of the localized partition function of the d = 5 theories on . We formulate a universal proposal for a class of off-shell free energies, whose extremization reproduces all previous results for branes wrapped on spindles, as well as on genus g Riemann surfaces Σg. We further illustrate this proposal discussing D4-branes wrapped on , for which we present a supersymmetric solution of D = 6 gauged supergravity along with the associated entropy function.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P. Karndumri, Twisted compactification of N = 2 5D SCFTs to three and two dimensions from F(4) gauged supergravity, JHEP 09 (2015) 034 [arXiv:1507.01515] [INSPIRE].
I. Bah, A. Passias and P. Weck, Holographic duals of five-dimensional SCFTs on a Riemann surface, JHEP 01 (2019) 058 [arXiv:1807.06031] [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].
S.L. Cacciatori and D. Klemm, Supersymmetric AdS4 black holes and attractors, JHEP 01 (2010) 085 [arXiv:0911.4926] [INSPIRE].
F. Benini and N. Bobev, Two-dimensional SCFTs from wrapped branes and c-extremization, JHEP 06 (2013) 005 [arXiv:1302.4451] [INSPIRE].
I. Bah, C. Beem, N. Bobev and B. Wecht, Four-dimensional SCFTs from M5-branes, JHEP 06 (2012) 005 [arXiv:1203.0303] [INSPIRE].
P. Ferrero, J.P. Gauntlett, J.M.P. Ipiña, D. Martelli and J. Sparks, Accelerating black holes and spinning spindles, Phys. Rev. D 104 (2021) 046007 [arXiv:2012.08530] [INSPIRE].
P. Ferrero, J.P. Gauntlett, J.M. Pérez Ipiña, D. Martelli and J. Sparks, D3-branes wrapped on a spindle, Phys. Rev. Lett. 126 (2021) 111601 [arXiv:2011.10579] [INSPIRE].
P. Ferrero, J.P. Gauntlett, D. Martelli and J. Sparks, M5-branes wrapped on a spindle, JHEP 11 (2021) 002 [arXiv:2105.13344] [INSPIRE].
S.M. Hosseini, K. Hristov and A. Zaffaroni, Rotating multi-charge spindles and their microstates, JHEP 07 (2021) 182 [arXiv:2104.11249] [INSPIRE].
A. Boido, J.M.P. Ipiña and J. Sparks, Twisted D3-brane and M5-brane compactifications from multi-charge spindles, JHEP 07 (2021) 222 [arXiv:2104.13287] [INSPIRE].
P. Ferrero, M. Inglese, D. Martelli and J. Sparks, Multi-charge accelerating black holes and spinning spindles, arXiv:2109.14625 [INSPIRE].
C. Couzens, K. Stemerdink and D. van de Heisteeg, M2-branes on discs and multi-charged spindles, arXiv:2110.00571 [INSPIRE].
I. Bah, F. Bonetti, R. Minasian and E. Nardoni, M5-brane sources, holography, and Argyres-Douglas theories, JHEP 11 (2021) 140 [arXiv:2106.01322] [INSPIRE].
C. Couzens, N.T. Macpherson and A. Passias, N = (2, 2) AdS3 from D3-branes wrapped on Riemann surfaces, arXiv:2107.13562 [INSPIRE].
M. Suh, D3-branes and M5-branes wrapped on a topological disc, arXiv:2108.01105 [INSPIRE].
M. Suh, D4-D8-branes wrapped on a manifold with non-constant curvature, arXiv:2108.08326 [INSPIRE].
M. Suh, M2-branes wrapped on a topological disc, arXiv:2109.13278 [INSPIRE].
D. Cassani, J.P. Gauntlett, D. Martelli and J. Sparks, Thermodynamics of accelerating and supersymmetric AdS4 black holes, Phys. Rev. D 104 (2021) 086005 [arXiv:2106.05571] [INSPIRE].
A. Cabo-Bizet, D. Cassani, D. Martelli and S. Murthy, Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes, JHEP 10 (2019) 062 [arXiv:1810.11442] [INSPIRE].
S.M. Hosseini, K. Hristov and A. Zaffaroni, Gluing gravitational blocks for AdS black holes, JHEP 12 (2019) 168 [arXiv:1909.10550] [INSPIRE].
F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS4 from supersymmetric localization, JHEP 05 (2016) 054 [arXiv:1511.04085] [INSPIRE].
J. Nian and L.A. Pando Zayas, Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization, JHEP 03 (2020) 081 [arXiv:1909.07943] [INSPIRE].
K. Hristov, S. Katmadas and C. Toldo, Matter-coupled supersymmetric Kerr-Newman-AdS4 black holes, Phys. Rev. D 100 (2019) 066016 [arXiv:1907.05192] [INSPIRE].
P. Benetti Genolini, J.M. Perez Ipiña and J. Sparks, Localization of the action in AdS/CFT, JHEP 10 (2019) 252 [arXiv:1906.11249] [INSPIRE].
P. Ferrero, J.P. Gauntlett and J. Sparks, Supersymmetric spindles, JHEP 01 (2022) 102 [arXiv:2112.01543] [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, S.S. Gubser, H. Lü and C.N. Pope, Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories, Phys. Rev. D 62 (2000) 086003 [hep-th/9909121] [INSPIRE].
L.J. Romans, The F(4) gauged supergravity in six-dimensions, Nucl. Phys. B 269 (1986) 691 [INSPIRE].
R. D’Auria, S. Ferrara and S. Vaula, Matter coupled F(4) supergravity and the AdS6/CFT5 correspondence, JHEP 10 (2000) 013 [hep-th/0006107] [INSPIRE].
S.M. Hosseini, K. Hristov, A. Passias and A. Zaffaroni, 6D attractors and black hole microstates, JHEP 12 (2018) 001 [arXiv:1809.10685] [INSPIRE].
A. Guarino, D.L. Jafferis and O. Varela, String theory origin of dyonic N = 8 supergravity and its Chern-Simons duals, Phys. Rev. Lett. 115 (2015) 091601 [arXiv:1504.08009] [INSPIRE].
D.L. Jafferis and S.S. Pufu, Exact results for five-dimensional superconformal field theories with gravity duals, JHEP 05 (2014) 032 [arXiv:1207.4359] [INSPIRE].
A. Passias, D. Prins and A. Tomasiello, A massive class of N = 2 AdS4 IIA solutions, JHEP 10 (2018) 071 [arXiv:1805.03661] [INSPIRE].
P.M. Crichigno and D. Jain, The 5d superconformal index at large N and black holes, JHEP 09 (2020) 124 [arXiv:2005.00550] [INSPIRE].
P.M. Crichigno, D. Jain and B. Willett, 5d partition functions with a twist, JHEP 11 (2018) 058 [arXiv:1808.06744] [INSPIRE].
H. Lü, C.N. Pope and J.F. Vazquez-Poritz, From AdS black holes to supersymmetric flux branes, Nucl. Phys. B 709 (2005) 47 [hep-th/0307001] [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].
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].
A. Passias, A note on supersymmetric AdS6 solutions of massive type IIA supergravity, JHEP 01 (2013) 113 [arXiv:1209.3267] [INSPIRE].
D.L. Jafferis, The exact superconformal R-symmetry extremizes Z, JHEP 05 (2012) 159 [arXiv:1012.3210] [INSPIRE].
S.M. Hosseini, I. Yaakov and A. Zaffaroni, The joy of factorization at large N: five-dimensional indices and AdS black holes, arXiv:2111.03069 [INSPIRE].
S.M. Hosseini, I. Yaakov and A. Zaffaroni, Topologically twisted indices in five dimensions and holography, JHEP 11 (2018) 119 [arXiv:1808.06626] [INSPIRE].
N. Bobev and P.M. Crichigno, Universal RG flows across dimensions and holography, JHEP 12 (2017) 065 [arXiv:1708.05052] [INSPIRE].
S.M. Hosseini and A. Zaffaroni, Universal AdS black holes in theories with 16 supercharges and their microstates, Phys. Rev. Lett. 126 (2021) 171604 [arXiv:2011.01249] [INSPIRE].
S.M. Hosseini and K. Hristov, 4d F(4) gauged supergravity and black holes of class \( \mathcal{F} \), JHEP 02 (2021) 177 [arXiv:2011.01943] [INSPIRE].
S. Giri, Black holes with spindles at the horizon, arXiv:2112.04431 [INSPIRE].
L.F. Alday, M. Fluder, C.M. Gregory, P. Richmond and J. Sparks, Supersymmetric solutions to Euclidean Romans supergravity, JHEP 02 (2016) 100 [arXiv:1505.04641] [INSPIRE].
P.B. Genolini and P. Richmond, Supersymmetry of higher-derivative supergravity in AdS4 holography, Phys. Rev. D 104 (2021) L061902 [arXiv:2107.04590] [INSPIRE].
C. Couzens, J.P. Gauntlett, D. Martelli and J. Sparks, A geometric dual of c-extremization, JHEP 01 (2019) 212 [arXiv:1810.11026] [INSPIRE].
S.M. Hosseini and A. Zaffaroni, Geometry of \( \mathcal{I} \)-extremization and black holes microstates, JHEP 07 (2019) 174 [arXiv:1904.04269] [INSPIRE].
J.P. Gauntlett, D. Martelli and J. Sparks, Toric geometry and the dual of \( \mathcal{I} \)-extremization, JHEP 06 (2019) 140 [arXiv:1904.04282] [INSPIRE].
H. Kim and N. Kim, Black holes with baryonic charge and \( \mathcal{I} \)-extremization, JHEP 11 (2019) 050 [arXiv:1904.05344] [INSPIRE].
J.P. Gauntlett, D. Martelli and J. Sparks, Fibred GK geometry and supersymmetric AdS solutions, JHEP 11 (2019) 176 [arXiv:1910.08078] [INSPIRE].
M. Suh, Supersymmetric AdS6 black holes from matter coupled F(4) gauged supergravity, JHEP 02 (2019) 108 [arXiv:1810.00675] [INSPIRE].
H. Lü, C.N. Pope and J. Rahmfeld, A construction of Killing spinors on Sn, J. Math. Phys. 40 (1999) 4518 [hep-th/9805151] [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: 2111.13660
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
Faedo, F., Martelli, D. D4-branes wrapped on a spindle. J. High Energ. Phys. 2022, 101 (2022). https://doi.org/10.1007/JHEP02(2022)101
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2022)101