Gravity Dual for Cyclic Renormalization Group Flow without Conformal Invariance

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.

4 pages, v2: typos corrected, references added

References in corpus (4)

• What Maxwell Theory in D<>4 teaches us about scale and conformal invariance
• Holographic dual of free field theory
• Tutorial on Scale and Conformal Symmetries in Diverse Dimensions
• On R-symmetric Fixed Points and Superconformality

Cited by in corpus (8)

• The $a$-theorem and the Asymptotics of 4D Quantum Field Theory
• Scale without Conformal Invariance: Theoretical Foundations
• Limit Cycles in Four Dimensions
• Supercurrent, Supervirial and Superimprovement
• Is boundary conformal in CFT?
• Timelike BKL singularities and chaos in AdS/CFT
• Discrete scale invariance in holography revisited
• Scale without Conformal Invariance in bottom-up Holography