Local field theory construction of Very Special Conformal Symmetry

Abstract

Cohen and Glashow argued that very special conformal field theories of a particular kind (i.e. with HOM(2) or SIM(2) invariance) cannot be constructed within the framework of local field theories. We, however, show examples of local construction by using non-linear realization. We further construct linear realization from the topological twist at the cost of unitarity. To demonstrate the ubiquity of our idea, we also present corresponding holographic models.

9 pages, v2: reference added

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• Gravity duals for non-relativistic CFTs
• Very Special Relativity
• General Very Special Relativity is Finsler Geometry
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Cited by in corpus (4)

• Very Special $T\bar{J}$ deformed CFT
• Non-Lorentzian Field Theories with Maximal Supersymmetry and Moduli Space Dynamics
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• Gravity Dual for Very Special Conformal Field Theories in type IIB Supergravity