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

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