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2016

Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality

Bhattacharyya, Arpan, Cheng, Long, Hung, Ling-Yan

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In this note we explored the holographic relative entropy in the presence of the 5d Chern-Simons term, which introduces a mixed gauge-gravity anomaly to the dual CFT.

The theory trivially satisfies an entanglement first law.
However, to quadratic order in perturbations of the stress tensor $T$ and current density $J$, there is a mixed contribution to the relative entropy bi-linear in $T$ and $J$, signalling a potential violation of the positivity of the relative entropy.
Miraculously, the term vanishes up to linear order in a derivative expansion.

Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality · Around

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