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Thermal transitions of metastable M-branes

Journal of High Energy Physics volume 2019, Article number: 128 (2019) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We use blackfold methods to analyse the properties of putative supergravity solutions in M-theory that describe the backreaction of polarised anti-M2 branes (namely, M5 branes wrapping three-cycles with negative M2-brane charge) in the Cvetic-Gibbons-Lu-Pope background of eleven-dimensional supergravity. At zero temperature we recover the metastable state of Klebanov and Pufu directly in supergravity. At finite temperature we uncover a previously unknown pattern of mergers between fat or thin M5-brane states with the thermalised version of the metastable state. At sufficiently small values of the anti-brane charge a single fat-metastable merger follows the same pattern recently discovered for polarised anti-D3-branes in the Klebanov-Strassler solution in type IIB supergravity. We provide quantitative evidence that this merger is driven by properties of the horizon geometry. For larger values of the anti-brane charge the wrapped M5-brane solutions exhibit different patterns of finite-temperature transitions that have no known counterpart in the anti-D3 system in Klebanov-Strassler.

References

  1. J.M. Maldacena and H.S. Nastase, The supergravity dual of a theory with dynamical supersymmetry breaking, JHEP09 (2001) 024 [hep-th/0105049] [INSPIRE].

  2. S. Kachru, J. Pearson and H.L. Verlinde, Brane/flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP06 (2002) 021 [hep-th/0112197] [INSPIRE].

    MathSciNet  Article  Google Scholar 

  3. S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev.D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].

  4. S. Kachru, R. Kallosh, A.D. Linde, J.M. Maldacena, L.P. McAllister and S.P. Trivedi, Towards inflation in string theory, JCAP10 (2003) 013 [hep-th/0308055] [INSPIRE].

  5. I. Bena, A. Puhm and B. Vercnocke, Non-extremal black hole microstates: fuzzballs of fire or fuzzballs of fuzz?, JHEP12 (2012) 014 [arXiv:1208.3468] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  6. I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χSB resolution of naked singularities, JHEP08 (2000) 052 [hep-th/0007191] [INSPIRE].

  7. I. Bena, M. Graña, S. Kuperstein and S. Massai, Giant tachyons in the landscape, JHEP02 (2015) 146 [arXiv:1410.7776] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  8. I. Bena, M. Graña and N. Halmagyi, On the existence of meta-stable vacua in Klebanov-Strassler, JHEP09 (2010) 087 [arXiv:0912.3519] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  9. O. DeWolfe, S. Kachru and M. Mulligan, A gravity dual of metastable dynamical supersymmetry breaking, Phys. Rev.D 77 (2008) 065011 [arXiv:0801.1520] [INSPIRE].

  10. P. McGuirk, G. Shiu and Y. Sumitomo, Non-supersymmetric infrared perturbations to the warped deformed conifold, Nucl. Phys.B 842 (2011) 383 [arXiv:0910.4581] [INSPIRE].

  11. I. Bena, G. Giecold, M. Graña and N. Halmagyi, On the inflaton potential from antibranes in warped throats, JHEP07 (2012) 140 [arXiv:1011.2626] [INSPIRE].

    ADS  Article  Google Scholar 

  12. A. Dymarsky, On gravity dual of a metastable vacuum in Klebanov-Strassler theory, JHEP05 (2011) 053 [arXiv:1102.1734] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  13. I. Bena, G. Giecold, M. Graña, N. Halmagyi and S. Massai, On metastable vacua and the warped deformed conifold: analytic results, Class. Quant. Grav.30 (2013) 015003 [arXiv:1102.2403] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  14. F.F. Gautason, D. Junghans and M. Zagermann, Cosmological constant, near brane behavior and singularities, JHEP09 (2013) 123 [arXiv:1301.5647] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  15. J. Blåbäck, U.H. Danielsson and T. Van Riet, Resolving anti-brane singularities through time-dependence, JHEP02 (2013) 061 [arXiv:1202.1132] [INSPIRE].

  16. B. Michel, E. Mintun, J. Polchinski, A. Puhm and P. Saad, Remarks on brane and antibrane dynamics, JHEP09 (2015) 021 [arXiv:1412.5702] [INSPIRE].

  17. I. Bena, A. Buchel and O.J.C. Dias, Horizons cannot save the landscape, Phys. Rev.D 87 (2013) 063012 [arXiv:1212.5162] [INSPIRE].

  18. I. Bena, J. Blabäck, U.H. Danielsson and T. Van Riet, Antibranes cannot become black, Phys. Rev.D 87 (2013) 104023 [arXiv:1301.7071] [INSPIRE].

  19. J. Blåbäck, U.H. Danielsson, D. Junghans, T. Van Riet and S.C. Vargas, Localised anti-branes in non-compact throats at zero and finite T , JHEP02 (2015) 018 [arXiv:1409.0534] [INSPIRE].

  20. G.S. Hartnett, Localised anti-branes in flux backgrounds, JHEP06 (2015) 007 [arXiv:1501.06568] [INSPIRE].

  21. J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136 [INSPIRE].

  22. D. Cohen-Maldonado, J. Diaz, T. van Riet and B. Vercnocke, Observations on fluxes near anti-branes, JHEP01 (2016) 126 [arXiv:1507.01022] [INSPIRE].

  23. D. Cohen-Maldonado, J. Diaz and F.F. Gautason, Polarised antibranes from Smarr relations, JHEP05 (2016) 175 [arXiv:1603.05678] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  24. R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, World-volume effective theory for higher-dimensional black holes, Phys. Rev. Lett.102 (2009) 191301 [arXiv:0902.0427] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  25. R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, Essentials of blackfold dynamics, JHEP03 (2010) 063 [arXiv:0910.1601] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  26. J. Armas, J. Gath, V. Niarchos, N.A. Obers and A.V. Pedersen, Forced fluid dynamics from blackfolds in general supergravity backgrounds, JHEP10 (2016) 154 [arXiv:1606.09644] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  27. T. Harmark, Small black holes on cylinders, Phys. Rev.D 69 (2004) 104015 [hep-th/0310259] [INSPIRE].

  28. D. Gorbonos and B. Kol, A dialogue of multipoles: matched asymptotic expansion for caged black holes, JHEP06 (2004) 053 [hep-th/0406002] [INSPIRE].

  29. R. Emparan, T. Harmark, V. Niarchos, N.A. Obers and M.J. Rodriguez, The phase structure of higher-dimensional black rings and black holes, JHEP10 (2007) 110 [arXiv:0708.2181] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  30. J. Armas, N. Nguyen, V. Niarchos, N.A. Obers and T. Van Riet, Metastable nonextremal antibranes, Phys. Rev. Lett.122 (2019) 181601 [arXiv:1812.01067] [INSPIRE].

  31. M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, Ricci flat metrics, harmonic forms and brane resolutions, Commun. Math. Phys.232 (2003) 457 [hep-th/0012011] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  32. I.R. Klebanov and S.S. Pufu, M-branes and metastable states, JHEP08 (2011) 035 [arXiv:1006.3587] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  33. D. Martelli and J. Sparks, AdS 4/CFT 3duals from M2-branes at hypersurface singularities and their deformations, JHEP12 (2009) 017 [arXiv:0909.2036] [INSPIRE].

    ADS  Article  Google Scholar 

  34. D.L. Jafferis, Quantum corrections to N = 2 Chern-Simons theories with flavor and their AdS 4duals, JHEP08 (2013) 046 [arXiv:0911.4324] [INSPIRE].

  35. C.P. Herzog and I.R. Klebanov, Gravity duals of fractional branes in various dimensions, Phys. Rev.D 63 (2001) 126005 [hep-th/0101020] [INSPIRE].

  36. I. Bena, G. Giecold and N. Halmagyi, The backreaction of anti-M2 branes on a warped Stenzel space, JHEP04 (2011) 120 [arXiv:1011.2195] [INSPIRE].

  37. S. Massai, Metastable vacua and the backreacted Stenzel geometry, JHEP06 (2012) 059 [arXiv:1110.2513] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  38. W. Cottrell, J. Gaillard and A. Hashimoto, Gravity dual of dynamically broken supersymmetry, JHEP08 (2013) 105 [arXiv:1303.2634] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  39. G. Giecold, F. Orsi and A. Puhm, Insane anti-membranes?, JHEP03 (2014) 041 [arXiv:1303.1809] [INSPIRE].

  40. J. Blåbäck, Note on M2-branes in opposite charge, Phys. Rev.D 89 (2014) 065004 [arXiv:1309.2640] [INSPIRE].

  41. P. Pasti, D.P. Sorokin and M. Tonin, On Lorentz invariant actions for chiral p forms, Phys. Rev.D 55 (1997) 6292 [hep-th/9611100] [INSPIRE].

  42. P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for a D = 11 five-brane with the chiral field, Phys. Lett.B 398 (1997) 41 [hep-th/9701037] [INSPIRE].

  43. I.A. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for the superfive-brane of M-theory, Phys. Rev. Lett.78 (1997) 4332 [hep-th/9701149] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  44. V. Niarchos, Open/closed string duality and relativistic fluids, Phys. Rev.D 94 (2016) 026009 [arXiv:1510.03438] [INSPIRE].

  45. V. Niarchos, Supersymmetric perturbations of the M5 brane, JHEP05 (2014) 023 [arXiv:1402.4132] [INSPIRE].

  46. J.M. Izquierdo, N.D. Lambert, G. Papadopoulos and P.K. Townsend, Dyonic membranes, Nucl. Phys.B 460 (1996) 560 [hep-th/9508177] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  47. T. Harmark, Open branes in space-time noncommutative little string theory, Nucl. Phys.B 593 (2001) 76 [hep-th/0007147] [INSPIRE].

  48. T. Harmark and N.A. Obers, Phase structure of noncommutative field theories and spinning brane bound states, JHEP03 (2000) 024 [hep-th/9911169] [INSPIRE].

    MathSciNet  Article  Google Scholar 

  49. J. Armas and A. Jain, Magnetohydrodynamics as superfluidity, Phys. Rev. Lett.122 (2019) 141603 [arXiv:1808.01939] [INSPIRE].

  50. J. Armas and A. Jain, One-form superfluids & magnetohydrodynamics, arXiv:1811.04913 [INSPIRE].

  51. M.M. Caldarelli, R. Emparan and M.J. Rodriguez, Black rings in (anti)-de Sitter space, JHEP11 (2008) 011 [arXiv:0806.1954] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  52. J. Armas and N.A. Obers, Blackfolds in (anti)-de Sitter backgrounds, Phys. Rev.D 83 (2011) 084039 [arXiv:1012.5081] [INSPIRE].

  53. J. Camps and R. Emparan, Derivation of the blackfold effective theory, JHEP03 (2012) 038 [Erratum ibid.06 (2012) 155] [arXiv:1201.3506] [INSPIRE].

  54. J. Gath and A.V. Pedersen, Viscous asymptotically flat Reissner-Nordström black branes, JHEP03 (2014) 059 [arXiv:1302.5480] [INSPIRE].

    ADS  Article  Google Scholar 

  55. A. Di Dato, J. Gath and A.V. Pedersen, Probing the hydrodynamic limit of (super)gravity, JHEP04 (2015) 171 [arXiv:1501.05441] [INSPIRE].

  56. S. Bhattacharyya, V.E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear fluid dynamics from gravity, JHEP02 (2008) 045 [arXiv:0712.2456] [INSPIRE].

    ADS  Article  Google Scholar 

  57. S. Bhattacharyya, S. Lahiri, R. Loganayagam and S. Minwalla, Large rotating AdS black holes from fluid mechanics, JHEP09 (2008) 054 [arXiv:0708.1770] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  58. G. Grignani, T. Harmark, A. Marini and M. Orselli, Born-Infeld/gravity correspondence, Phys. Rev.D 94 (2016) 066009 [arXiv:1602.01640] [INSPIRE].

  59. J. Armas, J. Gath, A. Jain and A.V. Pedersen, Dissipative hydrodynamics with higher-form symmetry, JHEP05 (2018) 192 [arXiv:1803.00991] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  60. J. Armas, J. Camps, T. Harmark and N.A. Obers, The Young modulus of black strings and the fine structure of blackfolds, JHEP02 (2012) 110 [arXiv:1110.4835] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  61. J. Armas, J. Gath and N.A. Obers, Black branes as piezoelectrics, Phys. Rev. Lett.109 (2012) 241101 [arXiv:1209.2127] [INSPIRE].

    ADS  Article  Google Scholar 

  62. J. Armas and N.A. Obers, Relativistic elasticity of stationary fluid branes, Phys. Rev.D 87 (2013) 044058 [arXiv:1210.5197] [INSPIRE].

  63. J. Armas, How fluids bend: the elastic expansion for higher-dimensional black holes, JHEP09 (2013) 073 [arXiv:1304.7773] [INSPIRE].

    ADS  Article  Google Scholar 

  64. J. Armas, (Non)-dissipative hydrodynamics on embedded surfaces, JHEP09 (2014) 047 [arXiv:1312.0597] [INSPIRE].

  65. C.G. Callan Jr., J.A. Harvey and A. Strominger, Worldbrane actions for string solitons, Nucl. Phys.B 367 (1991) 60 [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  66. J. Armas, J. Gath and N.A. Obers, Electroelasticity of charged black branes, JHEP10 (2013) 035 [arXiv:1307.0504] [INSPIRE].

  67. D. Marolf, Chern-Simons terms and the three notions of charge, hep-th/0006117 [INSPIRE].

  68. J. Armas and M. Blau, Blackfolds, plane waves and minimal surfaces, JHEP07 (2015) 156 [arXiv:1503.08834] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  69. G. Grignani, T. Harmark, A. Marini, N.A. Obers and M. Orselli, Heating up the BIon, JHEP06 (2011) 058 [arXiv:1012.1494] [INSPIRE].

  70. G. Grignani, T. Harmark, A. Marini, N.A. Obers and M. Orselli, Thermal string probes in AdS and finite temperature Wilson loops, JHEP06 (2012) 144 [arXiv:1201.4862] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  71. Ó. J.C. Dias, G.S. Hartnett, B.E. Niehoff and J.E. Santos, Mass-deformed M2 branes in Stenzel space, JHEP11 (2017) 105 [arXiv:1704.02323] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  72. G. Grignani, T. Harmark, A. Marini and M. Orselli, Thermal DBI action for the D3-brane at weak and strong coupling, JHEP03 (2014) 114 [arXiv:1311.3834] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  73. R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, Blackfolds in supergravity and string theory, JHEP08 (2011) 154 [arXiv:1106.4428] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  74. R. Emparan and H.S. Reall, Black rings, Class. Quant. Grav.23 (2006) R169 [hep-th/0608012] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  75. I. Bena, M. Graña, S. Kuperstein and S. Massai, Tachyonic anti-M2 branes, JHEP06 (2014) 173 [arXiv:1402.2294] [INSPIRE].

    ADS  Article  Google Scholar 

  76. J. Armas and J. Tarrio, On actions for (entangling) surfaces and DCFTs, JHEP04 (2018) 100 [arXiv:1709.06766] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  77. J. Armas, T. Harmark, N.A. Obers, M. Orselli and A.V. Pedersen, Thermal giant gravitons, JHEP11 (2012) 123 [arXiv:1207.2789] [INSPIRE].

    ADS  Article  Google Scholar 

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Affiliations

  1. Institute for Theoretical Physics, University of Amsterdam, 1090, GL, Amsterdam, The Netherlands

    Jay Armas

  2. Dutch Institute for Emergent Phenomena, 1090, GL, Amsterdam, The Netherlands

    Jay Armas

  3. Department of Mathematical Sciences and Centre for Particle Theory, Durham University, Durham, DH1 3LE, U.K.

    Nam Nguyen & Vasilis Niarchos

  4. Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91, Stockholm, Sweden

    Niels A. Obers

  5. The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark

    Niels A. Obers

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  1. Jay Armas
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  2. Nam Nguyen
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  3. Vasilis Niarchos
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  4. Niels A. Obers
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Correspondence to Jay Armas.

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Armas, J., Nguyen, N., Niarchos, V. et al. Thermal transitions of metastable M-branes. J. High Energ. Phys. 2019, 128 (2019). https://doi.org/10.1007/JHEP08(2019)128

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Keywords

  • Black Holes in String Theory
  • M-Theory
  • p-branes
  • AdS-CFT Correspondence