Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions

Okazaki, Tadashi

Abstract

We evaluate half-indices of N = (2, 2) half-BPS boundary conditions in 3d N = 4 supersymmetric Abelian gauge theories. We confirm that the Neumann boundary condition is dual to the generic Dirichlet boundary condition for its mirror theory as the half-indices perfectly match with each other. We find that a naive mirror symmetry between the exceptional Dirichlet boundary conditions defining the Verma modules of the quantum Coulomb and Higgs branch algebras does not always hold. The triangular matrix obtained from the elliptic stable envelope describes the precise mirror transformation of a collection of half-indices for the exceptional Dirichlet boundary conditions.

Citation

Okazaki, T. (2021). Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions. Journal of High Energy Physics, 2021(3), Article 163. https://doi.org/10.1007/jhep03%282021%29163

• Journal Article Type: Article
• Acceptance Date: Feb 12, 2021
• Online Publication Date: Mar 17, 2021
• Publication Date: 2021-03
• Deposit Date: Apr 13, 2021
• Publicly Available Date: Apr 13, 2021
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2021
• Issue: 3
• Article Number: 163
• DOI: https://doi.org/10.1007/jhep03%282021%29163
• Related Public URLs: https://arxiv.org/abs/2010.13177