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Vacuum structure of bifundamental gauge theories at finite topological angles

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arxiv 1705.01949 v2 pith:S4YOGY6E submitted 2017-05-04 hep-th hep-lathep-ph

Yuya Tanizaki , Yuta Kikuchi This is my paper · ORCID
classification hep-thhep-lathep-ph
keywords bifundamentalgaugeanglesfinitegivetheoriesvacuumanomaly
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We discuss possible vacuum structures of $SU(n)\times SU(n)$ gauge theories with bifundamental matters at finite $\theta$ angles. In order to give a precise constraint, a mixed 't Hooft anomaly is studied in detail by gauging the center $\mathbb{Z}_n$ one-form symmetry of the bifundamental gauge theory. We propose phase diagrams that are consistent with the constraints, and also give a heuristic explanation of the result based on the dual superconductor scenario of confinement.

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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. Tilts from 2-Groups

    hep-th 2026-08 conditional novelty 6.0 of 10

    Line operators charged under the 1-form part of a 2-group symmetry must generically break the 0-form part, enforced by a family anomaly derived from Wess-Zumino consistency.

  2. Numerical Hints for Dyon Condensation at $\theta=2\pi$ via Wilson-'t Hooft Loops in $SU(2)$ Yang-Mills Theory

    hep-lat 2026-06 unverdicted novelty 6.0 of 10

    Lattice computation of Wilson-'t Hooft loops supplies numerical evidence for dyon condensation at theta=2pi in SU(2) Yang-Mills.

  3. 2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

    hep-th 2025-05 conditional novelty 6.0 of 10

    The 2d Cardy-Rabinovici model is constructed on a modified Villain lattice, making rescaled theta periodicity and strong-weak duality exact at finite spacing and giving a symmetry-based phase classification.

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