학술논문
$c$-functions in higher-derivative flows across dimensions.
Document Type
Journal
Author
Deddo, Evan (1-MI-CTP) AMS Author Profile; Liu, James T. (1-MI-CTP) AMS Author Profile; Pando Zayas, Leopoldo A. (1-MI-CTP) AMS Author Profile; Saskowski, Robert J. (1-MI-CTP) AMS Author Profile
Source
Subject
81 Quantum theory -- 81T Quantum field theory; related classical field theories
81T17Renormalization group methods
81T40Two-dimensional field theories, conformal field theories, etc.
83Relativity and gravitational theory -- 83D Relativistic gravitational theories other than Einstein's, including asymmetric field theories
83D05Relativistic gravitational theories other than Einstein's, including asymmetric field theories
81T17
81T40
83
83D05
Language
English
Abstract
Summary: ``In the context of gravitational theories describing renormalization group flows across dimensions via AdS/CFT, we study the role of higher-derivative corrections to Einstein gravity. We use the Null Energy Condition to derive monotonicity properties of candidate holographic central charges formed by combinations of metric functions. We also implement an entropic approach to the characterization of the four-derivative flows using the Jacobson-Myers functional and demonstrate, under reasonable conditions, monotonicity of certain terms in the entanglement entropy via the appropriate generalization of the Ryu-Takayanagi prescription. In particular, we show that any flow from a higher dimensional theory to a holographic $\rm CFT_2$ satisfies a type of monotonicity. We also uncover direct relations between NEC-motivated and entropic central charges.''