Physics-to-gauge conversion at black hole horizons

Abstract

Requiring the presence of a horizon imposes constraints on the physical phase space. After a careful analysis of dilaton gravity in 2D with boundaries (including the Schwarzschild and Witten black holes as prominent examples), it is shown that the classical physical phase space is smaller as compared to the generic case if horizon constraints are imposed. Conversely, the number of gauge symmetries is larger for the horizon scenario. In agreement with a recent conjecture by 't Hooft, we thus find that physical degrees of freedom are converted into gauge degrees of freedom at a horizon.

32 pages, uses iopart_mod.cls, v2: added ref, v3: added paragraph in conclusions

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Cited by in corpus (7)

• Boundary theories for dilaton supergravity in 2D
• Anti-de Sitter holography for gravity and higher spin theories in two dimensions
• Black Hole Entropy and the Problem of Universality
• Black Hole Thermodynamics and Hamilton-Jacobi Counterterm
• Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals
• Boundary terms, branes and AdS/BCFT in first-order gravity
• Killing horizons kill horizon degrees