Abstract
We perform a detailed study of linear perturbations of the JMaRT family of non-BPS smooth horizonless solutions of type IIB supergravity beyond the near-decoupling limit. In addition to the unstable quasi normal modes (QNMs) responsible for the ergo-region instability, already studied in the literature, we find a new class of ‘charged’ unstable modes with positive imaginary part, that can be interpreted in terms of the emission of charged (scalar) quanta with non zero KK momentum. We use both matched asymptotic expansions and numerical integration methods. Moreover, we exploit the recently discovered correspondence between JMaRT perturbation theory, governed by a Reduced Confluent Heun Equation, and the quantum Seiberg-Witten (SW) curve of \( \mathcal{N} \) = 2 SYM theory with gauge group SU(2) and Nf = (0, 2) flavours.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V. Jejjala, O. Madden, S.F. Ross and G. Titchener, Non-supersymmetric smooth geometries and D1-D5-P bound states, Phys. Rev. D 71 (2005) 124030 [hep-th/0504181] [INSPIRE].
V. Cardoso, O.J.C. Dias, J.L. Hovdebo and R.C. Myers, Instability of non-supersymmetric smooth geometries, Phys. Rev. D 73 (2006) 064031 [hep-th/0512277] [INSPIRE].
S. Chandrasekhar, The Mathematical Theory of Black Holes, Fundam. Theor. Phys. 9 (1984) 5 [INSPIRE].
B.D. Chowdhury and S.D. Mathur, Radiation from the non-extremal fuzzball, Class. Quant. Grav. 25 (2008) 135005 [arXiv:0711.4817] [INSPIRE].
M. Bianchi, M. Casolino and G. Rizzo, Accelerating strangelets via Penrose process in non-BPS fuzzballs, Nucl. Phys. B 954 (2020) 115010 [arXiv:1904.01097] [INSPIRE].
S. Giusto, S.D. Mathur and A. Saxena, Dual geometries for a set of 3-charge microstates, Nucl. Phys. B 701 (2004) 357 [hep-th/0405017] [INSPIRE].
S. Giusto, S.D. Mathur and A. Saxena, 3-charge geometries and their CFT duals, Nucl. Phys. B 710 (2005) 425 [hep-th/0406103] [INSPIRE].
B. Chakrabarty, D. Ghosh and A. Virmani, Quasinormal modes of supersymmetric microstate geometries from the D1-D5 CFT, JHEP 10 (2019) 072 [arXiv:1908.01461] [INSPIRE].
F.C. Eperon, H.S. Reall and J.E. Santos, Instability of supersymmetric microstate geometries, JHEP 10 (2016) 031 [arXiv:1607.06828] [INSPIRE].
G. Shiu, P. Soler and W. Cottrell, Weak Gravity Conjecture and extremal black holes, Sci. China Phys. Mech. Astron. 62 (2019) 110412 [arXiv:1611.06270] [INSPIRE].
G. Aminov, A. Grassi and Y. Hatsuda, Black Hole Quasinormal Modes and Seiberg-Witten Theory, Annales Henri Poincare 23 (2022) 1951 [arXiv:2006.06111] [INSPIRE].
D. Consoli, F. Fucito, J.F. Morales and R. Poghossian, CFT description of BH’s and ECO’s: QNMs, superradiance, echoes and tidal responses, JHEP 12 (2022) 115 [arXiv:2206.09437] [INSPIRE].
M. Bianchi, D. Consoli, A. Grillo and J.F. Morales, More on the SW-QNM correspondence, JHEP 01 (2022) 024 [arXiv:2109.09804] [INSPIRE].
M. Bianchi, D. Consoli, A. Grillo and J.F. Morales, QNMs of branes, BHs and fuzzballs from quantum SW geometries, Phys. Lett. B 824 (2022) 136837 [arXiv:2105.04245] [INSPIRE].
G. Bonelli, C. Iossa, D.P. Lichtig and A. Tanzini, Exact solution of Kerr black hole perturbations via CFT2 and instanton counting: Greybody factor, quasinormal modes, and Love numbers, Phys. Rev. D 105 (2022) 044047 [arXiv:2105.04483] [INSPIRE].
G. Bonelli, C. Iossa, D. Panea Lichtig and A. Tanzini, Irregular Liouville Correlators and Connection Formulae for Heun Functions, Commun. Math. Phys. 397 (2023) 635 [arXiv:2201.04491] [INSPIRE].
V. Cardoso, O.J.C. Dias and R.C. Myers, On the gravitational stability of D1-D5-P black holes, Phys. Rev. D 76 (2007) 105015 [arXiv:0707.3406] [INSPIRE].
I. Bah and P. Heidmann, Topological stars, black holes and generalized charged Weyl solutions, JHEP 09 (2021) 147 [arXiv:2012.13407] [INSPIRE].
P. Heidmann, I. Bah and E. Berti, Imaging topological solitons: The microstructure behind the shadow, Phys. Rev. D 107 (2023) 084042 [arXiv:2212.06837] [INSPIRE].
M. Bianchi, D. Consoli, A. Grillo and J.F. Morales, Light rings of five-dimensional geometries, JHEP 03 (2021) 210 [arXiv:2011.04344] [INSPIRE].
Event Horizon Telescope collaboration, First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole, Astrophys. J. Lett. 875 (2019) L1 [arXiv:1906.11238] [INSPIRE].
Event Horizon Telescope collaboration, First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way, Astrophys. J. Lett. 930 (2022) L12 [INSPIRE].
M. Bianchi and G. Di Russo, 2-charge circular fuzz-balls and their perturbations, arXiv:2212.07504 [INSPIRE].
M. Bianchi, D. Consoli and J.F. Morales, Probing Fuzzballs with Particles, Waves and Strings, JHEP 06 (2018) 157 [arXiv:1711.10287] [INSPIRE].
E. Berti, V. Cardoso and M. Casals, Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions, Phys. Rev. D 73 (2006) 024013 [Erratum ibid. 73 (2006) 109902] [gr-qc/0511111] [INSPIRE].
N.A. Nekrasov and S.L. Shatashvili, Quantization of Integrable Systems and Four Dimensional Gauge Theories, in the proceedings of the 16th International Congress on Mathematical Physics, (2009), p. 265–289 [https://doi.org/10.1142/9789814304634_0015] [arXiv:0908.4052] [INSPIRE].
L. Aalsma and G. Shiu, From rotating to charged black holes and back again, JHEP 11 (2022) 161 [arXiv:2205.06273] [INSPIRE].
M. Bianchi et al., On the stability and deformability of top stars, arXiv:2305.15105 [INSPIRE].
Acknowledgments
We acknowledge fruitful scientific exchange with I. Bena, V. Bevilacqua, G. Bonelli, G. Bossard, A. Cipriani, V. Cardoso, D. Consoli, A. De Santis, G. Dibitetto, A. Evangelista, F. Fucito, A. Grillo, D. Mayerson, F. Morales, P. Pani, R. Savelli and A. Tanzini. M.B. and G.D.R. would like to thank GGI Arcetri (FI) for the kind hospitality during completion of this work. We thank the MIUR PRIN contract 2020KR4KN2 “String Theory as a bridge between Gauge Theories and Quantum Gravity” and the INFN project ST&FI “String Theory and Fundamental Interactions” for partial support.
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: 2305.00865
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
Bianchi, M., Di Benedetto, C., Di Russo, G. et al. Charge instability of JMaRT geometries. J. High Energ. Phys. 2023, 78 (2023). https://doi.org/10.1007/JHEP09(2023)078
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2023)078