×

Multi-centered \( \mathcal{N}=2 \) BPS black holes: a double copy description. (English) Zbl 1378.83032

Summary: We present the on-shell double copy dictionary for linearised \( \mathcal{N}=2 \) supergravity coupled to an arbitrary number of vector multiplets in four dimensions. Subsequently, we use it to construct a double copy description of multi-centered BPS black hole solutions in these theories in the weak-field approximation.

MSC:

83C57 Black holes
81T60 Supersymmetric field theories in quantum mechanics
83E50 Supergravity
83C15 Exact solutions to problems in general relativity and gravitational theory

References:

[1] M. Bianchi, H. Elvang and D.Z. Freedman, Generating Tree Amplitudes in N = 4 SYM and N =8 SG, JHEP09(2008) 063 [arXiv:0805.0757] [INSPIRE]. · Zbl 1245.81083 · doi:10.1088/1126-6708/2008/09/063
[2] Z. Bern, J.J.M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes, Phys. Rev.D 78 (2008) 085011 [arXiv:0805.3993] [INSPIRE].
[3] Z. Bern, J.J.M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory, Phys. Rev. Lett.105 (2010) 061602 [arXiv:1004.0476] [INSPIRE]. · doi:10.1103/PhysRevLett.105.061602
[4] M. Chiodaroli, M. Günaydin, H. Johansson and R. Roiban, Scattering amplitudes \[inN=2 \mathcal{N}=2\] Maxwell-Einstein and Yang-Mills/Einstein supergravity, JHEP01 (2015) 081 [arXiv:1408.0764] [INSPIRE]. · Zbl 1388.83772 · doi:10.1007/JHEP01(2015)081
[5] M. Chiodaroli, Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities, arXiv:1607.04129 [INSPIRE]. · Zbl 1417.83019
[6] J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999) 1113 [hep-th/9711200] [INSPIRE]. · Zbl 0969.81047 · doi:10.1023/A:1026654312961
[7] S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett.B 428 (1998) 105 [hep-th/9802109] [INSPIRE]. · Zbl 1355.81126 · doi:10.1016/S0370-2693(98)00377-3
[8] E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys.2 (1998) 253 [hep-th/9802150] [INSPIRE]. · Zbl 0914.53048 · doi:10.4310/ATMP.1998.v2.n2.a2
[9] G.L. Cardoso, S. Nagy and S. Nampuri, A double copy \[forN=2 \mathcal{N}=2\] supergravity: a linearised tale told on-shell, JHEP10 (2016) 127 [arXiv:1609.05022] [INSPIRE]. · Zbl 1390.83383 · doi:10.1007/JHEP10(2016)127
[10] L. Borsten and M.J. Duff, Gravity as the square of Yang-Mills?, Phys. Scripta90 (2015) 108012 [arXiv:1602.08267] [INSPIRE]. · doi:10.1088/0031-8949/90/10/108012
[11] R. Monteiro, D. O’Connell and C.D. White, Black holes and the double copy, JHEP12 (2014) 056 [arXiv:1410.0239] [INSPIRE]. · Zbl 1333.83048 · doi:10.1007/JHEP12(2014)056
[12] A. Luna, R. Monteiro, D. O’Connell and C.D. White, The classical double copy for Taub-NUT spacetime, Phys. Lett.B 750 (2015) 272 [arXiv:1507.01869] [INSPIRE]. · Zbl 1364.83005 · doi:10.1016/j.physletb.2015.09.021
[13] A. Luna, R. Monteiro, I. Nicholson, D. O’Connell and C.D. White, The double copy: Bremsstrahlung and accelerating black holes, JHEP06 (2016) 023 [arXiv:1603.05737] [INSPIRE]. · Zbl 1388.83025 · doi:10.1007/JHEP06(2016)023
[14] W.D. Goldberger and A.K. Ridgway, Radiation and the classical double copy for color charges, arXiv:1611.03493 [INSPIRE].
[15] A. Anastasiou, L. Borsten, M.J. Duff, L.J. Hughes and S. Nagy, Yang-Mills origin of gravitational symmetries, Phys. Rev. Lett.113 (2014) 231606 [arXiv:1408.4434] [INSPIRE]. · Zbl 1333.81225 · doi:10.1103/PhysRevLett.113.231606
[16] A. Anastasiou, L. Borsten, M.J. Hughes and S. Nagy, Global symmetries of Yang-Mills squared in various dimensions, JHEP01 (2016) 148 [arXiv:1502.05359] [INSPIRE]. · Zbl 1388.81270 · doi:10.1007/JHEP01(2016)148
[17] F. Cachazo, S. He and E.Y. Yuan, Scattering of Massless Particles: Scalars, Gluons and Gravitons, JHEP07 (2014) 033 [arXiv:1309.0885] [INSPIRE]. · Zbl 1391.81198 · doi:10.1007/JHEP07(2014)033
[18] A. Hodges, New expressions for gravitational scattering amplitudes, JHEP07 (2013) 075 [arXiv:1108.2227] [INSPIRE]. · Zbl 1342.83480 · doi:10.1007/JHEP07(2013)075
[19] Z. Bern, A. De Freitas and H.L. Wong, On the coupling of gravitons to matter, Phys. Rev. Lett.84 (2000) 3531 [hep-th/9912033] [INSPIRE]. · doi:10.1103/PhysRevLett.84.3531
[20] B. de Wit, J.W. van Holten and A. Van Proeyen, Transformation Rules of N = 2 Supergravity Multiplets, Nucl. Phys.B 167 (1980) 186 [INSPIRE]. · doi:10.1016/0550-3213(80)90125-X
[21] B. de Wit, J.W. van Holten and A. Van Proeyen, Structure of N = 2 Supergravity, Nucl. Phys.B 184 (1981) 77 [Erratum ibid.B 222 (1983) 516] [INSPIRE].
[22] B. de Wit and A. Van Proeyen, Potentials and Symmetries of General Gauged N = 2 Supergravity: Yang-Mills Models, Nucl. Phys.B 245 (1984) 89 [INSPIRE]. · doi:10.1016/0550-3213(84)90425-5
[23] B. de Wit, P.G. Lauwers and A. Van Proeyen, Lagrangians of N = 2 Supergravity-Matter Systems, Nucl. Phys.B 255 (1985) 569 [INSPIRE]. · doi:10.1016/0550-3213(85)90154-3
[24] E. Bergshoeff, M. de Roo and B. de Wit, Extended Conformal Supergravity, Nucl. Phys.B 182 (1981) 173 [INSPIRE]. · doi:10.1016/0550-3213(81)90465-X
[25] D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press, Cambridge U.K. (2012). · Zbl 1245.83001 · doi:10.1017/CBO9781139026833
[26] A. Strominger, Special Geometry, Commun. Math. Phys.133 (1990) 163 [INSPIRE]. · Zbl 0716.53068 · doi:10.1007/BF02096559
[27] G.L. Cardoso, B. de Wit, J. Kappeli and T. Mohaupt, Stationary BPS solutions in N = 2 supergravity with R2interactions, JHEP12 (2000) 019 [hep-th/0009234] [INSPIRE]. · Zbl 0990.83567 · doi:10.1088/1126-6708/2000/12/019
[28] S. Ferrara and R. Kallosh, Supersymmetry and attractors, Phys. Rev.D 54 (1996) 1514 [hep-th/9602136] [INSPIRE]. · Zbl 1171.83329
[29] K. Behrndt, D. Lüst and W.A. Sabra, Stationary solutions of N = 2 supergravity, Nucl. Phys.B 510 (1998) 264 [hep-th/9705169] [INSPIRE]. · Zbl 0953.83049 · doi:10.1016/S0550-3213(98)81014-6
[30] F. Denef, Supergravity flows and D-brane stability, JHEP08 (2000) 050 [hep-th/0005049] [INSPIRE]. · Zbl 0990.83553 · doi:10.1088/1126-6708/2000/08/050
[31] H. Bondi, M.G.J. van der Burg and A.W.K. Metzner, Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems, Proc. Roy. Soc. Lond.A 269 (1962) 21 [INSPIRE]. · Zbl 0106.41903
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.