3d exceptional gauge theories and boundary confinement

Okazaki, Tadashi; Smith, Douglas J.

Abstract

We find boundary confining dualities of 3d N = 2 supersymmetric gauge theories with exceptional gauge groups. The half-indices which enumerate the boundary BPS local operators in the presence of Neumann and Dirichlet boundary conditions for gauge fields are identified with the Askey-Wilson type q-beta integrals and Macdonald type sums respectively. New conjectural identities of E6 and E7 integrals and sums are derived from the boundary confining dualities. We also consider theories with a vector multiplet and adjoint chiral, which correspond to an N = 4 vector multiplet, with appropriate boundary conditions. We argue for the boundary confinement of the N = 4 vector multiplet and comment on such theories also with classical gauge groups.

Citation

Okazaki, T., & Smith, D. J. (2023). 3d exceptional gauge theories and boundary confinement. Journal of High Energy Physics, 2023(11), Article 199. https://doi.org/10.1007/jhep11%282023%29199

• Journal Article Type: Article
• Acceptance Date: Nov 20, 2023
• Online Publication Date: Nov 27, 2023
• Publication Date: 2023-11
• Deposit Date: Nov 30, 2023
• Publicly Available Date: Dec 1, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 11
• Article Number: 199
• DOI: https://doi.org/10.1007/jhep11%282023%29199
• Keywords: Duality in Gauge Field Theories, Confinement, Supersymmetric Gauge Theory
• Public URL: https://durham-repository.worktribe.com/output/1964801