Connection formulae in the collision limit I: case studies in Lifshitz geometry

The connection formulae provide a systematic way to compute physical quantities, such as the quasinormal modes, Green functions, in blackhole perturbation theories. In this work, we test whether it is possible to consistently take the collision limit, which brings two or more regular singularities i...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 57; no. 45; pp. 455207 - 455235
Main Authors Zhao, Hao, Zhu, Rui-Dong
Format Journal Article
LanguageEnglish
Published IOP Publishing 29.11.2024
Subjects
collision limit
conformal block
connection formula
instanton
quasinormal mode
supersymmetry
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Summary:The connection formulae provide a systematic way to compute physical quantities, such as the quasinormal modes, Green functions, in blackhole perturbation theories. In this work, we test whether it is possible to consistently take the collision limit, which brings two or more regular singularities into an irregular one, of the connection formulae, and we provide some supportive evidence for it.
Bibliography:JPhysA-121039.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ad7fa9