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arXiv · 1806.09072

c-theorem of the entanglement entropy

Chanyong Park·Daeho Ro·Jung Hun Lee
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Abstract

We holographically investigate the renormalization group flow in a two-dimensional conformal field theory deformed by a relevant operator. If the relevant operator allows another fixed point, the UV conformal field theory smoothly flows to a new IR conformal field theory. From the holographic point of view, such a renormalization group flow can be realized as a dual geometry interpolating two different AdS boundaries. On this interpolating geometry, we investigate how the c-function of the entanglement entropy behaves along the RG flow analyt- ically and numerically, which reproduces the expected central charges of UV and IR. We also show that the c-function monotonically decreases from UV to IR without any phase transition.

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Chanyong Park, Daeho Ro, Jung Hun Lee. 2018-06-24. c-theorem of the entanglement entropy. https://doi.org/10.1007/jhep11(2018)165

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