The integrability of Virasoro charges for axisymmetric Killing horizons
arXiv:2009.11273 · doi:10.1007/JHEP04(2021)011
Abstract
Through the analysis of null symplectic structure, we derive the condition for integrable Virasoro generators on the covariant phase space of axisymmetric Killing horizons. A weak boundary condition selects a special relationship between the two temperatures for the putative CFT. When the integrability is satisfied for both future and past horizons, the two central charges are equal. At the end we discuss the physical implications.
arXiv comment19 Pages. v.1: The notes is submitted to match the same releasing day with a separate independent investigation on the same topic. v.2: Add the analysis of boundary term and the result on the past horizon. v.3: minor typos are corrected, add references. v.4: Improved discussion section, published version
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