Love symmetry
نویسندگان
چکیده
A bstract Perturbations of massless fields in the Kerr-Newman black hole background enjoy a (“Love”) SL(2 , ?) symmetry suitably defined near zone approximation. We present detailed study this and show how intricate behavior responses four higher dimensions can be understood from representation theory. In particular, static perturbations four-dimensional holes belong to highest weight representations. It is properety that forces Love numbers vanish. find tightly connected enhanced isometries extremal holes. This relation simplest for charged spherically symmetric (Reissner-Nordström) solutions, where exactly reduces isometry horizon AdS 2 throat. For rotating (Kerr-Newman) one lead consider an infinite-dimensional ? $$ \hat{\textrm{U}}{(1)}_{\mathcal{V}} U ? 1 V extension symmetry. contains three physically distinct subalgebras: algebra, Starobinsky algebra becomes Bardeen-Horowitz limit. also discuss other aspects symmetry, such as geometric meaning its generators spin weighted fields, connection no-hair theorems, non-renormalization numbers, (non-extremal) Kerr/CFT correspondence prospects existence modified theories gravity.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2022
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep10(2022)175