Discrete symplectic fermions on double dimers and their Virasoro representation
Mathematical Physics
2025-05-12 v2 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 .
Keywords
Cite
@article{arxiv.2304.08163,
title = {Discrete symplectic fermions on double dimers and their Virasoro representation},
author = {David Adame-Carrillo},
journal= {arXiv preprint arXiv:2304.08163},
year = {2025}
}
Comments
34 pages, 13 figures; v2: fermion modes rewritten more meaningful way