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arXiv · 1610.04233

Sine-Gordon Theory : Entanglement entropy and holography

Pinaki Banerjee·Atanu Bhatta·B. Sathiapalan
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Abstract

We compute change in entanglement entropy for a single interval in $1+1$ dimensional sine-Gordon model perturbatively in the coupling. The sine-Gordon perturbation can be thought of as deformation of the free CFT by a primary operator with dimension $Δ$. In an independent computation we calculate holographic entanglement entropy for that interval from three dimensional bulk AdS which has a massive scalar with its mass satisfying $m^2= Δ(Δ-2)$. We show that the two results match for near-marginal perturbations upto leading order in the coupling.

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Pinaki Banerjee, Atanu Bhatta, B. Sathiapalan. 2017-12-06. Sine-Gordon Theory : Entanglement entropy and holography. https://doi.org/10.1103/physrevd.96.126014

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