2d duality for orthogonal gauge theories with 8 supersymmetries

Eran Avraham, Oren Bergman

Research output: Contribution to journalArticlepeer-review


We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with N = (4, 4) supersymmetry, analogous to Hori’s dualities with N = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing the elliptic genera of the dual pairs and showing that they agree. The elliptic genus of orthogonal gauge theories has multiple topological sectors that depend on the global structure of the group and on the value of a discrete θ parameter. We derive the dependence on the θ parameter by determining whether a given sector has (S)Pin structure or not.

Original languageEnglish
Article number74
JournalJournal of High Energy Physics
Issue number6
StatePublished - 17 Jun 2019


  • Duality in Gauge Field Theories
  • Supersymmetric Gauge Theory
  • Supersymmetry and Duality

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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