Explicit entropic proofs of irreversibility theorems for holographic RG flows.

Autor: Deddo, Evan, Liu, James T., Pando Zayas, Leopoldo A., Saskowski, Robert J.
Zdroj: Journal of High Energy Physics; Sep2024, Vol. 2024 Issue 9, p1-28, 28p
Abstrakt: We revisit the existence of monotonic quantities along renormalization group flows using only the Null Energy Condition and the Ryu-Takayanagi formula for the entanglement entropy of field theories with anti-de Sitter gravity duals. In particular, we consider flows within the same dimension and holographically reprove the c-, F -, and a-theorems in dimensions two, three, and four. We focus on the family of maximally spherical entangling surfaces, define a quasi-constant of motion corresponding to the breaking of conformal invariance, and use a properly defined distance between minimal surfaces to construct a holographic c-function that is monotonic along the flow. We then apply our method to the case of flows across dimensions: there, we reprove the monotonicity of flows from AdSD+1 to AdS3 and prove the novel case of flows from AdS5 to AdS4. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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