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Discrete symplectic fermions on double dimers and their Virasoro representation (2304.08163v2)
Published 17 Apr 2023 in math-ph and math.MP
Abstract: 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 $-2$.
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