Gravity Dual for Cyclic Renormalization Group Flow without Conformal Invariance

TL;DR

This paper constructs a gravity dual model for field theories exhibiting cyclic renormalization group flow without conformal invariance, including discretely scale invariant cases, by modifying gravitational theories to break the null energy condition.

Contribution

It introduces a novel gravity dual framework for cyclic and discretely scale invariant field theories, expanding the understanding of non-conformal scale invariance in holography.

Findings

Gravity dual for cyclic RG flow without conformal invariance

Gravity dual for discretely scale invariant theories

Modification of gravitational theory breaks null energy condition

Abstract

We construct a gravity dual for scale invariant but non-conformal field theories with a cyclic renormalization group flow. A slight modification of our construction gives a gravity dual of discretely scale invariant field theories. The underlying gravitational theory breaks the null energy condition.