25–29 Nov 2024
Huizhou, Guangdong, China
Asia/Shanghai timezone

Holographic renormalized Entanglement and entropic c-function

25 Nov 2024, 16:00
30m
Room-2, Meeting Center, Institute of Modern Physics, Chinese Academy of Sciences (Huizhou, Guangdong, China)

Room-2, Meeting Center, Institute of Modern Physics, Chinese Academy of Sciences

Huizhou, Guangdong, China

Oral Parallel-2

Speaker

Mitsutoshi Fujita (University of South China)

Description

We compute holographic entanglement entropy (EE) and the renormalized EE in AdS solitons with gauge potential for various dimensions. The renormalized EE is a cutoff-independent universal component of EE. Via Kaluza-Klein compactification of S1 and considering the low-energy regime, we deduce the (d−1)-dimensional renormalized EE from the odd-dimensional counterpart. This corresponds to the shrinking circle of AdS solitons, probed at large l. The minimal surface transitions from disk to cylinder dominance as l increases. The quantum phase transition occurs at a critical subregion size, with renormalized EE showing non-monotonic behavior around this size. Across dimensions, massive modes decouple at lower energy, while degrees of freedom with Wilson lines contribute at smaller energy scales.

Primary author

Mitsutoshi Fujita (University of South China)

Co-authors

Mr Jun Zhang (University of Alabama) Prof. Song He (Jilin University) Prof. yuan Sun (Cental South University)

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