Topology of black hole phase transition in JT gravity

We present a JT gravity setup coupled with U(1) and SU(2) Yang-Mills fields in two dimensions that reveals the onset of a small black hole to large black hole phase transition at finite chemical potential(s). We identify these black hole solutions as “topological defects” in the thermodynamic phase...

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Main Authors: Hemant Rathi, Dibakar Roychowdhury
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325000097
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author Hemant Rathi
Dibakar Roychowdhury
author_facet Hemant Rathi
Dibakar Roychowdhury
author_sort Hemant Rathi
collection DOAJ
description We present a JT gravity setup coupled with U(1) and SU(2) Yang-Mills fields in two dimensions that reveals the onset of a small black hole to large black hole phase transition at finite chemical potential(s). We identify these black hole solutions as “topological defects” in the thermodynamic phase space and calculate the associated topological numbers following the standard procedure. We confirm the robustness of our model by estimating perturbative corrections to the bulk free energy at an arbitrary order in the Yang-Mills coupling. We also construct the Schwarzian for the boundary theory using the 2D gravitational action in the bulk and comment on the dual SYK like model where similar observations can be made.
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institution Kabale University
issn 0370-2693
language English
publishDate 2025-02-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj-art-2b5e1d50747f4578bf522325377d80712025-02-10T04:33:53ZengElsevierPhysics Letters B0370-26932025-02-01861139249Topology of black hole phase transition in JT gravityHemant Rathi0Dibakar Roychowdhury1Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India; Corresponding author.Department of Physics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, IndiaWe present a JT gravity setup coupled with U(1) and SU(2) Yang-Mills fields in two dimensions that reveals the onset of a small black hole to large black hole phase transition at finite chemical potential(s). We identify these black hole solutions as “topological defects” in the thermodynamic phase space and calculate the associated topological numbers following the standard procedure. We confirm the robustness of our model by estimating perturbative corrections to the bulk free energy at an arbitrary order in the Yang-Mills coupling. We also construct the Schwarzian for the boundary theory using the 2D gravitational action in the bulk and comment on the dual SYK like model where similar observations can be made.http://www.sciencedirect.com/science/article/pii/S0370269325000097
spellingShingle Hemant Rathi
Dibakar Roychowdhury
Topology of black hole phase transition in JT gravity
Physics Letters B
title Topology of black hole phase transition in JT gravity
title_full Topology of black hole phase transition in JT gravity
title_fullStr Topology of black hole phase transition in JT gravity
title_full_unstemmed Topology of black hole phase transition in JT gravity
title_short Topology of black hole phase transition in JT gravity
title_sort topology of black hole phase transition in jt gravity
url http://www.sciencedirect.com/science/article/pii/S0370269325000097
work_keys_str_mv AT hemantrathi topologyofblackholephasetransitioninjtgravity
AT dibakarroychowdhury topologyofblackholephasetransitioninjtgravity