Uniformization of Entanglement Entropy in Holographic Warped Conformal Field Theories
St\'ephane Detournay, Daniel Grumiller, Max Riegler, Quentin, Vandermiers
TL;DR
This paper derives a formula for holographic entanglement entropy in Warped Conformal Field Theories using a uniformization map, revealing potential quantum energy inequalities.
Contribution
It introduces a uniformization approach to compute entanglement entropy in Warped CFTs with AdS$_3$ gravity boundary conditions, linking geometry to quantum energy conditions.
Findings
Derived a holographic entanglement entropy expression for Warped CFT states.
Identified inequalities interpretable as quantum energy conditions.
Connected geometric uniformization to quantum information measures.
Abstract
Using a uniformization map we determine the holographic entanglement entropy for states of a Warped Conformal Field Theory dual to a generic vacuum metric in AdS gravity with Comp\`ere--Song--Strominger boundary conditions. We point out how that expression could lead to inequalities that can be interpreted as quantum energy conditions for Warped Conformal Field Theories.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Solidification and crystal growth phenomena · Statistical Mechanics and Entropy