Very Special Conformal Field Theories (VSCFT) and their holographic duals

Abstract

Cohen and Glashow introduced the notion of very special relativity as viable space-time symmetry of elementary particle physics. As a natural generalization of their idea, we study the subgroup of the conformal group, dubbed very special conformal symmetry, which is an extension of the very special relativity. We classify all of them and construct field theory examples as well as holographic realization of the very special conformal field theories.

14 pages, v2: published version with additional comments and reference

References in corpus (10)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Very Special Relativity
• Nonrelativistic conformal field theories
• General Very Special Relativity is Finsler Geometry
• Newtonian Gravity and the Bargmann Algebra
• Warped Conformal Field Theory as Lower Spin Gravity
• Holography for Schrodinger backgrounds
• Integrability in dipole-deformed N=4 super Yang-Mills
• Spacetime symmetries of the Lorentz-violating Maxwell-Chern-Simons model

Cited by in corpus (4)

• Local field theory construction of Very Special Conformal Symmetry
• Very Special $T\bar{J}$ deformed CFT
• 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