2d duality for orthogonal gauge theories with 8 supersymmetries

Abstract

We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with $\mathcal{N}=(4,4)$ supersymmetry, analogous to Hori's dualities with $\mathcal{N}=(2,2)$ 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 $\theta$ parameter. We derive the dependence on the $\theta$ parameter by determining whether a given sector has $(S)Pin$ structure or not.

arXiv comment17 pages

References in corpus (9)

• Reading between the lines of four-dimensional gauge theories
• Elliptic genera of 2d N=2 gauge theories
• Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
• On The Conformal Field Theory Of The Higgs Branch
• Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
• Elliptic Genus of E-strings
• A-twisted correlators and Hori dualities
• Two Dimensional Mirror Symmetry From M-theory
• Branes and 2d N=(2,2) gauge theories with orthogonal and symplectic groups

Cited by in corpus (1)

• Elliptic genera of pure gauge theories in two dimensions with semisimple non-simply-connected gauge groups