Discrete Symplectic Fermions on Double Dimers and Their Virasoro Representation

David Adame-Carrillo

doi:10.1007/s00023-024-01455-w

Discrete Symplectic Fermions on Double Dimers and Their Virasoro Representation

David Adame-Carrillo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

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.

Original language	English
Journal	Annales Henri Poincare
DOIs	https://doi.org/10.1007/s00023-024-01455-w
Publication status	E-pub ahead of print - 17 Jul 2024
MoE publication type	A1 Journal article-refereed

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10.1007/s00023-024-01455-wLicence: CC BY

Cite this

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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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AB - 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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Discrete Symplectic Fermions on Double Dimers and Their Virasoro Representation

Abstract

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FiRST Kytölä: Finnish centre of excellence in Randomness and STructures (FiRST)

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Discrete Symplectic Fermions on Double Dimers and Their Virasoro Representation

Abstract

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FiRST Kytölä: Finnish centre of excellence in Randomness and STructures (FiRST)

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