Charge (in)stability and superradiance of Topological Stars

Abstract We study linear massive scalar charged perturbations of Topological Stars in the fuzzball and in the black hole (Black String) regimes. The objects that naturally couple to the electric 3-form field strength of these solutions are charged strings, wound around the compact direction. We expl...

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Main Authors: Andrea Cipriani, Carlo Di Benedetto, Giorgio Di Russo, Alfredo Grillo, Giuseppe Sudano
Format: Article
Language:English
Published: SpringerOpen 2024-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2024)143
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author Andrea Cipriani
Carlo Di Benedetto
Giorgio Di Russo
Alfredo Grillo
Giuseppe Sudano
author_facet Andrea Cipriani
Carlo Di Benedetto
Giorgio Di Russo
Alfredo Grillo
Giuseppe Sudano
author_sort Andrea Cipriani
collection DOAJ
description Abstract We study linear massive scalar charged perturbations of Topological Stars in the fuzzball and in the black hole (Black String) regimes. The objects that naturally couple to the electric 3-form field strength of these solutions are charged strings, wound around the compact direction. We explore the possibility of instabilities of these solutions, in analogy with the charge instability already highlighted for other non-BPS geometries like JMaRT. This issue is addressed by calculating quasi-normal mode frequencies with a variety of techniques: WKB approximation, direct integration, Leaver method and by exploiting the recently discovered correspondence between black hole/fuzzball perturbation theory and quantum Seiberg-Witten curves. All mode frequencies we find have negative imaginary parts, implying an exponential decay in time. This suggests a linear stability of Topological Stars also in this new scenario. In addition, we study the charge superradiance for the Black String. We compute the amplification factor with the numerical integration method and a quantum Seiberg-Witten motivated definition including instantonic corrections.
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issn 1029-8479
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spelling doaj-art-ac2c73504be74dc2acb9ea96b09e05c62025-08-20T02:11:17ZengSpringerOpenJournal of High Energy Physics1029-84792024-07-012024713210.1007/JHEP07(2024)143Charge (in)stability and superradiance of Topological StarsAndrea Cipriani0Carlo Di Benedetto1Giorgio Di Russo2Alfredo Grillo3Giuseppe Sudano4Dipartimento di Fisica, Università di Roma “Tor Vergata” & Sezione INFN Roma2Dipartimento di Fisica, Università di Roma “Tor Vergata” & Sezione INFN Roma2Dipartimento di Fisica, Università di Roma “Tor Vergata” & Sezione INFN Roma2Dipartimento di Fisica, Università di Roma “Tor Vergata” & Sezione INFN Roma2Dipartimento di Fisica, Università di Roma “Tor Vergata” & Sezione INFN Roma2Abstract We study linear massive scalar charged perturbations of Topological Stars in the fuzzball and in the black hole (Black String) regimes. The objects that naturally couple to the electric 3-form field strength of these solutions are charged strings, wound around the compact direction. We explore the possibility of instabilities of these solutions, in analogy with the charge instability already highlighted for other non-BPS geometries like JMaRT. This issue is addressed by calculating quasi-normal mode frequencies with a variety of techniques: WKB approximation, direct integration, Leaver method and by exploiting the recently discovered correspondence between black hole/fuzzball perturbation theory and quantum Seiberg-Witten curves. All mode frequencies we find have negative imaginary parts, implying an exponential decay in time. This suggests a linear stability of Topological Stars also in this new scenario. In addition, we study the charge superradiance for the Black String. We compute the amplification factor with the numerical integration method and a quantum Seiberg-Witten motivated definition including instantonic corrections.https://doi.org/10.1007/JHEP07(2024)143Black HolesBlack Holes in String TheorySupersymmetric Gauge Theory
spellingShingle Andrea Cipriani
Carlo Di Benedetto
Giorgio Di Russo
Alfredo Grillo
Giuseppe Sudano
Charge (in)stability and superradiance of Topological Stars
Journal of High Energy Physics
Black Holes
Black Holes in String Theory
Supersymmetric Gauge Theory
title Charge (in)stability and superradiance of Topological Stars
title_full Charge (in)stability and superradiance of Topological Stars
title_fullStr Charge (in)stability and superradiance of Topological Stars
title_full_unstemmed Charge (in)stability and superradiance of Topological Stars
title_short Charge (in)stability and superradiance of Topological Stars
title_sort charge in stability and superradiance of topological stars
topic Black Holes
Black Holes in String Theory
Supersymmetric Gauge Theory
url https://doi.org/10.1007/JHEP07(2024)143
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AT giuseppesudano chargeinstabilityandsuperradianceoftopologicalstars