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arXiv · 2002.07194

Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes

Minwoo Suh
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Abstract

We look into the $AdS$ black holes from two-dimensional gravity perspective. In this work, we extend the previous results of holographic renormalization group flows to dimensions two. By introducing a superpotential, we derive the flow equations in two-dimensional dilaton gravity. We find a quantity which monotonically decreases along flows and give some comments on holographic $c$-theorem. As examples, we show that recently studied supersymmetric $AdS$ black hole solutions generically dimensionally reduce to two-dimensional dilaton gravity, and obtain the flow equations for black hole solutions.

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Minwoo Suh. 2020-02-17. Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes. https://doi.org/10.1007/jhep07(2020)209

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