Lyapunov exponents of charged probes capture the same cusp and transition points in dilatonic RN-AdS phase structure across Einstein and string frames, even though the exponent values themselves depend on frame for massive particles.
Deviations from the Area Law for Supersymmetric Black Holes
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abstract
We review modifications of the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions. In four-dimensional N=2 compactifications of string theory or M-theory these modifications are crucial for finding agreement between the macroscopic entropy obtained from supergravity and the microscopic entropy obtained by counting states in string or M-theory. Our discussion is based on the effective Wilsonian action, which in the context of N=2 supersymmetric theories is defined in terms of holomorphic quantities. At the end we briefly indicate how to incorporate non-holomorphic corrections.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Phase Transitions with Lyapunov Exponents under Einstein and String Frames in Dilatonic Reissner--Nordstr\"om--AdS Black Holes
Lyapunov exponents of charged probes capture the same cusp and transition points in dilatonic RN-AdS phase structure across Einstein and string frames, even though the exponent values themselves depend on frame for massive particles.