Bailey chain approach to 2d $\mathcal{N}=(0,2)$ dualities
Zehra Akbulut, Ilmar Gahramanov, An{\i}l Kahraman, Mustafa Mullahasanoglu, and Yaren Y{\i}ld{\i}r{\i}m
TL;DR
This paper introduces a systematic Bailey chain method to establish dualities in 2D $ abla=(0,2)$ supersymmetric theories by constructing elliptic genus identities, advancing the understanding of gauge theory equivalences.
Contribution
It develops a novel Bailey chain framework for proving dualities in 2D $ abla=(0,2)$ supersymmetric gauge theories through elliptic genus identities.
Findings
Constructed new Bailey pairs for elliptic genera.
Established duality equivalences for quiver gauge theories.
Provided a systematic approach to verify 2D supersymmetric dualities.
Abstract
We study a two-dimensional 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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Black Holes and Theoretical Physics · Homotopy and Cohomology in Algebraic Topology