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arXiv · 1511.05183

The two canonical conjugate pairs at the horizon of a D1D5 black hole

Merav Hadad·Levy Rosenblum
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Abstract

The Euclidian opening angle at the $r-t_E$ surface, $Θ_{r-t_E}$ at the horizon of a black hole is canonically conjugate to the black hole entropy. We prove that for a $D1D5$ black hole there exists in addition to this pair, another canonical pair: the opening angle at the $r-y$ surface, $Θ_{r-y}$ and a Wald like term $S_{Wr-y}$. This leads to an uncertainty at $Θ_{r-y}$ which suggests that the surface $r-y$ is actually a superposition of surfaces with different conical singularities. This corresponds to the same type of singularities obtained by string theory excitations of a $D1D5$ black hole.

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Merav Hadad, Levy Rosenblum. 2015-11-16. The two canonical conjugate pairs at the horizon of a D1D5 black hole. https://doi.org/10.1103/physrevd.92.124025

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