Abstract
We use the notion of double holography to study Hawking radiation emitted by the eternal BTZ black hole in equilibrium with a thermal bath, but in the form of warped CFT2 degrees of freedom. In agreement with the literature, we find entanglement islands and a phase transition in the entanglement surface, but our results differ significantly from work in AdS/CFT in three major ways: (1) the late-time entropy decreases in time, (2) island degrees of freedom exist at all times, not just at late times, with the phase transition changing whether or not these degrees of freedom include the black hole interior, and (3) the physics involves a field-theoretic IR divergence emerging when the boundary interval is too big relative to the black hole’s inverse temperature. This behavior in the entropy appears to be consistent with the non-unitarity of holographic warped CFT2 and demonstrates that the islands are not a phenomenon restricted to black hole information in unitary setups.
Highlights
An ever-increasing entropy curve with a discontinuity at the evaporation time, instead, so, in the gravitational picture, the entangled degrees of freedom corresponding to Hawking radiation appear to vanish discontinuously
In agreement with the literature, we find entanglement islands and a phase transition in the entanglement surface, but our results differ significantly from work in AdS/CFT in three major ways: (1) the late-time entropy decreases in time, (2) island degrees of freedom exist at all times, not just at late times, with the phase transition changing whether or not these degrees of freedom include the black hole interior, and (3) the physics involves a field-theoretic IR divergence emerging when the boundary interval is too big relative to the black hole’s inverse temperature
This behavior in the entropy appears to be consistent with the non-unitarity of holographic warped CFT2 and demonstrates that the islands are not a phenomenon restricted to black hole information in unitary setups
Summary
We discuss the main differences between the symmetries of WCFT2 and CFT2. we emphasize how WCFT2 may be understood holographically, in terms of an AdS3 bulk. We just review the global and local symmetry structure It is a well-known result of Polchinski that a CFT2 on a Minkowski background can be obtained by imposing unitarity, Poincaré invariance, and global scale invariance [52]. That a WCFT2 is characterized by strict chiral scale invariance has implications for the enhanced local symmetry structure of the quantum theory. A WCFT2 is characterized by one copy of the Virasoro algebra, corresponding to the chirally scale-invariant sector, and one copy of a. The loss of Virasoro symmetry in the quantum theory relative to a true CFT2 arises from the loss of full scale invariance. To be, c ≥ 1, k > 0, p ∈ R, p2 h≥
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