Local field theory construction of Very Special Conformal Symmetry

Understand

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.