Degenerate rotating black holes, chiral CFTs and Fermi surfaces I — Analytic results for quasinormal modes
| Autor: | Amir Zait, Anna Frishman, Micha Berkooz |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Angular momentum Astrophysics::High Energy Astrophysical Phenomena Supergravity Degenerate energy levels FOS: Physical sciences Equations of motion General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Massless particle Black hole High Energy Physics - Theory (hep-th) Gravitational singularity Scaling Mathematical physics |
| Zdroj: | Journal of High Energy Physics. 2012 |
| ISSN: | 1029-8479 |
| Popis: | In this work we discuss charged rotating black holes in $AdS_5 \times S^5$ that degenerate to extremal black holes with zero entropy. These black holes have scaling properties between charge and angular momentum similar to those of Fermi surface operators in a subsector of $\mathcal{N}=4$ SYM. We add a massless uncharged scalar to the five dimensional supergravity theory, such that it still forms a consistent truncation of the type IIB ten dimensional supergravity and analyze its quasinormal modes. Separating the equation of motion to a radial and angular part, we proceed to solve the radial equation using the asymptotic matching expansion method applied to a Heun equation with two nearby singularities. We use the continued fraction method for the angular Heun equation and obtain numerical results for the quasinormal modes. In the case of the supersymmetric black hole we present some analytic results for the decay rates of the scalar perturbations. The spectrum of quasinormal modes obtained is similar to that of a chiral 1+1 CFT, which is consistent with the conjectured field-theoretic dual. In addition, some of the modes can be found analytically. Comment: 41 pages, 1 figure, LaTeX; v2: typos corrected, references added |
| Databáze: | OpenAIRE |
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