On boundary degrees of freedom in three dimensional Anti-de Sitter spacetime and thermofield-double

Pouria Dadras

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arXiv · 2306.15290

On boundary degrees of freedom in three dimensional Anti-de Sitter spacetime and thermofield-double

Pouria Dadras

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Abstract

We will give two representations for thermofield-double (TFD). The first representation is the well-known Kerr-BTZ black hole geometry, which is the solution of Einstein's equation. The second representation is a disjoint union of two circles, which is a solution to two copies of the Schwarzian theory. This representation, in particular, admits the reparametrization modes, which are absent in any two dimensional CFT on a torus, and are essential for (dis-)entangling the TFD. Since the two representations describe the same state, they must be equivalent.

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Pouria Dadras. 2023-06-27. On boundary degrees of freedom in three dimensional Anti-de Sitter spacetime and thermofield-double. https://arxiv.org/abs/2306.15290

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