Exactly Solvable 1+1d Chiral Lattice Gauge Theories

Sahand Seifnashri

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arXiv · 2601.14359

Exactly Solvable 1+1d Chiral Lattice Gauge Theories

Sahand Seifnashri

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Abstract

Using the modified Villain lattice Hamiltonian formulation of the 1+1d compact boson theory, we construct exactly solvable abelian chiral lattice gauge theories in two spacetime dimensions. As a concrete example, we derive an explicit quadratic lattice Hamiltonian for the "34-50" chiral gauge theory. We further show that $N$ copies of the modified Villain theory realize the $O(N,N;\mathbb{Z})$ T-duality transformations, which we then use to solve and analyze these lattice gauge theories.

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Sahand Seifnashri. 2026-01-20. Exactly Solvable 1+1d Chiral Lattice Gauge Theories. https://arxiv.org/abs/2601.14359

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