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Discrete Symplectic Fermions on Double Dimers and Their Virasoro Representation

  • David Adame-Carrillo

摘要

A discrete version of the conformal field theory of symplectic fermions is introduced and discussed. Specifically, discrete symplectic fermions are realised as holomorphic observables in the double-dimer model. Using techniques of discrete complex analysis, the space of local fields of discrete symplectic fermions on the square lattice is proven to carry a representation of the Virasoro algebra with central charge \(-2\) - 2 .