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arXiv · 1808.09136

Modular Hamiltonians and large diffeomorphisms in $AdS_3$

Suchetan Das·Bobby Ezhuthachan
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Abstract

We generalize the work of Kabat and Lifshytz (arXiv:1703.06523), of reconstructing bulk scalar fields using the intersecting modular hamiltonian approach discussed therein, to any locally $AdS_3$ space related to $AdS_3$ by large diffeomorphisms. We present several checks for our result including matcing with their result in appropriate limits as well as consistency with bulk diffeomorphisms. As a further check, from our expressions we also compute the first correction due to gravitational dressing to the bulk scalar field in $AdS_3$ and match with known results in the literature.

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Suchetan Das, Bobby Ezhuthachan. 2018-08-28. Modular Hamiltonians and large diffeomorphisms in $AdS_3$. https://doi.org/10.1007/jhep12(2018)096

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