Abelian dualities and line defect indices for 3d gauge theories
Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki
TL;DR
This paper provides evidence for dualities in 3d supersymmetric Abelian gauge theories by matching line defect indices, revealing new duality maps for BPS line operators in various quiver gauge theories.
Contribution
It introduces novel duality maps for BPS line operators in 3d supersymmetric gauge theories, supported by matching line defect indices.
Findings
Matching line defect indices confirm dualities of BPS line operators.
New duality maps are established for $ abla ext{≥}4$ supersymmetric quiver theories.
Results include applications to SQED, ADHM, and ABJM theories.
Abstract
We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality maps of the BPS line operators for supersymmetric circular and linear quiver gauge theories which can be realized as brane configurations in Type IIB string theory, including SQED, ADHM and ABJM theories.
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