Bailey chain approach to 2d N=(0,2) dualities

2025/10/22 by Zehra Akbulut, Ilmar Gahramanov, Akbulut, Zehra +7
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2510.19713

Abstract

We study a two-dimensional N=(0,2) supersymmetric duality and construct novel Bailey pairs for the associated elliptic genera. This framework provides a systematic method to establish the equivalence of the elliptic genera of quiver gauge theories generated via iterative applications of the seed duality.

Citations

• More solutions to the decoration transformation
• Flipping relation as a reduced star-star relation
• 2d dualities from 4d
• Decorating the gauge/YBE correspondence
• The star-square relation and the generalized star-triangle relation from 3d supersymmetric dualities I
• A remark on the q-hypergeometric integral Bailey pair and the solution to the star-triangle equation
• Bailey pairs for the q-hypergeometric integral pentagon identity
• A TQFT of Turaev-Viro type on shaped triangulations

Related

• Dualities from dualities in 2d N=(0,2)
• 2d dualities from 4d
• On the zoology of 2d N=(0,2) dualities of gauge theories with antisymmetric matter
• 2d Supersymmetric Gauge Theories, D-branes and Trialities
• Quantum geometry and quiver gauge theories