Exactly Solvable 1+1d Chiral Lattice Gauge Theories
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911388735111168 |
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| author | Seifnashri, Sahand |
| author_facet | Seifnashri, Sahand |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14359 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exactly Solvable 1+1d Chiral Lattice Gauge Theories Seifnashri, Sahand High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice 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. |
| title | Exactly Solvable 1+1d Chiral Lattice Gauge Theories |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2601.14359 |