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M5-branes wrapped on a spindle

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Abstract

We construct supersymmetric AdS5 × Σ solutions of D = 7 gauged supergravity, where Σ is a two-dimensional orbifold known as a spindle. These uplift on S4 to solutions of D = 11 supergravity which have orbifold singularites. We argue that the solutions are dual to d = 4, \( \mathcal{N} \) = 1 SCFTs that arise from N M5-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. In contrast to the usual topological twist solutions, the superconformal R-symmetry mixes with the isometry of the spindle in the IR, and we verify this via a field theory calculation, as well as reproducing the gravity formula for the central charge.

References

  1. 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].

    ADS  MathSciNet  Article  Google Scholar 

  2. J.P. Gauntlett, N. Kim and D. Waldram, M-fivebranes wrapped on supersymmetric cycles, Phys. Rev. D 63 (2001) 126001 [hep-th/0012195] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  3. J.P. Gauntlett, N. Kim, S. Pakis and D. Waldram, Membranes wrapped on holomorphic curves, Phys. Rev. D 65 (2002) 026003 [hep-th/0105250] [INSPIRE].

  4. E. Witten, Topological Quantum Field Theory, Commun. Math. Phys. 117 (1988) 353 [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  5. M. Bershadsky, C. Vafa and V. Sadov, D-branes and topological field theories, Nucl. Phys. B 463 (1996) 420 [hep-th/9511222] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  6. 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].

    ADS  MathSciNet  Article  Google Scholar 

  7. J.P. Gauntlett, N. Kim and D. Waldram, Supersymmetric AdS3, AdS2 and Bubble Solutions, JHEP 04 (2007) 005 [hep-th/0612253] [INSPIRE].

    ADS  Article  Google Scholar 

  8. F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett. 110 (2013) 061601 [arXiv:1211.4030] [INSPIRE].

  9. S.M. Hosseini, K. Hristov and A. Zaffaroni, Rotating multi-charge spindles and their microstates, JHEP 07 (2021) 182 [arXiv:2104.11249] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  10. 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].

    ADS  MathSciNet  Article  Google Scholar 

  11. J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, New supersymmetric AdS3 solutions, Phys. Rev. D 74 (2006) 106007 [hep-th/0608055] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  12. 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].

  13. 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].

    ADS  MathSciNet  Article  Google Scholar 

  14. M. Cvetič and S.S. Gubser, Phases of R charged black holes, spinning branes and strongly coupled gauge theories, JHEP 04 (1999) 024 [hep-th/9902195] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  15. M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  16. J.T. Liu and R. Minasian, Black holes and membranes in AdS7, Phys. Lett. B 457 (1999) 39 [hep-th/9903269] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  17. K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys. B 667 (2003) 183 [hep-th/0304128] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  18. I. Bah, C. Beem, N. Bobev and B. Wecht, Four-Dimensional SCFTs from M5-Branes, JHEP 06 (2012) 005 [arXiv:1203.0303] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  19. S. Cucu, H. Lü and J.F. Vazquez-Poritz, A supersymmetric and smooth compactification of M-theory to AdS5, Phys. Lett. B 568 (2003) 261 [hep-th/0303211] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  20. M.T. Anderson, C. Beem, N. Bobev and L. Rastelli, Holographic Uniformization, Commun. Math. Phys. 318 (2013) 429 [arXiv:1109.3724] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  21. J.P. Gauntlett, E. Ó Colgáin and O. Varela, Properties of some conformal field theories with M-theory duals, JHEP 02 (2007) 049 [hep-th/0611219] [INSPIRE].

  22. S.M. Hosseini, K. Hristov, Y. Tachikawa and A. Zaffaroni, Anomalies, Black strings and the charged Cardy formula, JHEP 09 (2020) 167 [arXiv:2006.08629] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  23. I. Bah, F. Bonetti, R. Minasian and E. Nardoni, Anomalies of QFTs from M-theory and Holography, JHEP 01 (2020) 125 [arXiv:1910.04166] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  24. J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS5 solutions of M-theory, Class. Quant. Grav. 21 (2004) 4335 [hep-th/0402153] [INSPIRE].

    ADS  Article  Google Scholar 

  25. I. Bah, F. Bonetti, R. Minasian and E. Nardoni, Holographic Duals of Argyres-Douglas Theories, arXiv:2105.11567 [INSPIRE].

  26. D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  27. C. Couzens, J.P. Gauntlett, D. Martelli and J. Sparks, A geometric dual of c-extremization, JHEP 01 (2019) 212 [arXiv:1810.11026] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  28. 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].

  29. J.P. Gauntlett, D. Martelli and J. Sparks, Fibred GK geometry and supersymmetric AdS solutions, JHEP 11 (2019) 176 [arXiv:1910.08078] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  30. D. Martelli, J. Sparks and S.-T. Yau, The geometric dual of a-maximisation for Toric Sasaki-Einstein manifolds, Commun. Math. Phys. 268 (2006) 39 [hep-th/0503183] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  31. D. Martelli, J. Sparks and S.-T. Yau, Sasaki-Einstein manifolds and volume minimisation, Commun. Math. Phys. 280 (2008) 611 [hep-th/0603021] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

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Correspondence to Jerome P. Gauntlett.

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ArXiv ePrint: 2105.13344

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Ferrero, P., Gauntlett, J.P., Martelli, D. et al. M5-branes wrapped on a spindle. J. High Energ. Phys. 2021, 2 (2021). https://doi.org/10.1007/JHEP11(2021)002

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  • DOI: https://doi.org/10.1007/JHEP11(2021)002

Keywords

  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • Anomalies in Field and String Theories
  • M-Theory