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Two-dimensional supersymmetric gauge theories with exceptional gauge groups

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arxiv 1808.04070 v1 pith:4MG6CVBX submitted 2018-08-13 hep-th

Z. Chen , W. Gu , H. Parsian , E. Sharpe This is my paper · ORCID
classification hep-th
keywords gaugetheoriessupersymmetrictwo-dimensionalexceptionalgroupscoulombdiscuss
verification ladder T0 review T1 audit T2 compute T3 formal
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We apply the recent proposal for mirrors of nonabelian (2,2) supersymmetric two-dimensional gauge theories to make predictions for two-dimensional supersymmetric gauge theories with exceptional gauge groups G2, F4, E6, E7, and E8. We compute the mirror Landau-Ginzburg models and predict excluded Coulomb loci and Coulomb branch relations (quantum cohomology). We also discuss the relationship between weight lattice normalizations and theta angle periodicities in the proposal, and explore different conventions for the mirrors. Finally, we discuss the behavior of pure gauge theories with exceptional gauge groups under RG flow, and describe evidence that any pure supersymmetric two-dimensional gauge theory with connected and simply-connected semisimple gauge group flows in the IR to a free theory of as many twisted chiral superfields as the rank of the gauge group, extending previous results for SU, SO, and Sp 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. Supersymmetric zeta functions and determinants

    hep-th 2025-11 conditional novelty 6.0 of 10

    Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.

  2. A proposal for nonabelian (0,2) mirrors

    hep-th 2019-08 conditional novelty 6.0 of 10

    For (0,2) gauge theories with linear diagonal E-terms, the paper proposes a Weyl-orbifolded Landau-Ginzburg mirror and shows it reproduces quantum sheaf cohomology rings and A/2 correlation functions.

  3. A toolkit for twisted chiral superfields

    hep-th 2019-08 conditional novelty 4.0 of 10

    The paper presents an explicit component-form toolkit for Lagrangians of twisted chiral superfields, including mixed chiral/twisted-chiral terms, but the results are mostly known and the derivation of the mixed case i...

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