A formula for the relative entropy in chiral CFT
Lorenzo Panebianco
TL;DR
This paper derives a general formula for the relative entropy between vacuum and coherent states in chiral conformal field theory, enabling verification of quantum energy conditions and entropy bounds.
Contribution
It provides a new explicit formula for relative entropy in chiral CFT, facilitating analysis of quantum energy inequalities and entropy bounds.
Findings
Verified the Quantum Null Energy Condition (QNEC)
Confirmed the Bekenstein Bound in this context
Derived a general formula for relative entropy in chiral CFT
Abstract
We give a general formula for the relative entropy between the vacuum state and a coherent state, that is a state obtained by applying an exponentiated stress energy tensor to the vacuum of a chiral conformal field theory on the lightray. As an application of this result, we verify the QNEC and the Bekenstein Bound.
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