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arXiv · 2304.08163

Discrete symplectic fermions on double dimers and their Virasoro representation

David Adame-Carrillo
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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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David Adame-Carrillo. 2023-04-17. Discrete symplectic fermions on double dimers and their Virasoro representation. https://doi.org/10.1007/s00023-024-01455-w

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