Charge instability of JMaRT geometries

TL;DR

This paper investigates the stability of JMaRT geometries by analyzing linear perturbations, revealing new charged unstable modes and connecting the problem to quantum Seiberg-Witten theory.

Contribution

It introduces the discovery of charged unstable modes in JMaRT geometries and links their perturbation analysis to the Seiberg-Witten curve of N=2 SYM theory.

Findings

Identification of a new class of charged unstable modes.

Confirmation of ergo-region instability through quasi-normal modes.

Establishment of a correspondence with Seiberg-Witten theory.

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 $N_f = (0,2)$ flavours.