No Forbidden Landscape in String/M-theory

Abstract

Scale invariant but non-conformal field theories are forbidden in (1+1) dimension, and so should be the corresponding holographic dual gravity theories. We conjecture that such scale invariant but non-conformal field configurations do not exist in the string/M-theory. We provide a proof of this conjecture in the classical supergravity limit under a certain gauge condition. Our proof does also apply in higher dimensional scale invariant but non-conformal field configurations, which suggests that scale invariant but non-conformal field theories may be forbidden in higher dimensions as well.

14 pages, v2: energy condition on c-theorem is corrected, v3: extra assumption in the proof is discussed due to a sign error in the previous version

References in corpus (7)

• On the Geometry of the String Landscape and the Swampland
• Causality, Analyticity and an IR Obstruction to UV Completion
• The String Landscape and the Swampland
• A Holographic Framework for Eternal Inflation
• Obstructions to the Existence of Sasaki-Einstein Metrics
• Census Taking in the Hat: FRW/CFT Duality
• Black Hole - String Transition and Rolling D-brane

Cited by in corpus (20)

• The Constraints of Conformal Symmetry on RG Flows
• What Maxwell Theory in D<>4 teaches us about scale and conformal invariance
• On Scale and Conformal Invariance in Four Dimensions
• CP-violating CFT and trace anomaly
• Scale without Conformal Invariance: An Example
• Scale without Conformal Invariance: Theoretical Foundations
• Consistency of local renormalization group in d=3
• Scale invariance vs conformal invariance
• Supercurrent, Supervirial and Superimprovement
• Higher derivative corrections in holographic Zamolodchikov-Polchinski theorem
• Is boundary conformal in CFT?
• Universal time-dependent deformations of Schrodinger geometry
• Holographic Renormalization of Foliation Preserving Gravity and Trace Anomaly
• Scale Invariance, Conformality, and Generalized Free Fields
• Discrete scale invariance in holography revisited
• Interacting scale but non-conformal field theories
• Euclidean M-theory background dual to three-dimensional scale invariant field theory without conformal invariance
• Gravity Dual for a Model of Perception
• Gravity Dual for Hofman-Strominger Theorem
• Scale without Conformal Invariance in bottom-up Holography