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Chiral gauge theory at the boundary between topological phases

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arxiv 2312.01494 v3 pith:MBZTABFD submitted 2023-12-03 hep-lat cond-mat.str-elhep-th

David B. Kaplan This is my paper · ORCID
classification hep-latcond-mat.str-elhep-th
keywords gaugeboundarychirald-dimensionallatticetheoryvolumeachieved
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I demonstrate how chiral fermions with an exact gauge symmetry can appear on the d-dimensional boundary of a finite volume (d+1)-dimensional manifold, without any light mirror partners. The condition for the d-dimensional boundary theory to be local is that gauge anomalies cancel and that the volume be large. This can likely be achieved on a lattice and provides a new paradigm for the lattice regularization of chiral gauge theories.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exactly Solvable 1+1d Chiral Lattice Gauge Theories

    hep-th 2026-01 conditional novelty 7.0 of 10

    Anomaly-free chiral U(1) gauge theories in 1+1 dimensions can be written as quadratic, exactly solvable lattice Hamiltonians, with the 34-50 model as an explicit example.

  2. Ginsparg-Wilson Hamiltonians with Improved Chiral Symmetry

    hep-lat 2025-05 conditional novelty 7.0 of 10

    A tunable family of Ginsparg-Wilson Hamiltonians is constructed in which the chiral charge becomes progressively more quantized as k increases, though locality degrades.

  3. Unpaired Weyl fermion on an axion string in a finite lattice

    hep-th 2025-06 conditional novelty 6.0 of 10

    A modified crossed-domain-wall axion string on an N=28 periodic lattice produces an unpaired, single-chirality Weyl fermion branch, extending the Kaplan-Sen disk construction to string defects.

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