Zig-zag deformations of toric quiver gauge theories. Part I. Reflexive polytopes

Cremonesi, Stefano; Sá, José

Abstract

We study one-parameter families of U(1)2 preserving deformations relating pairs of toric quiver gauge theories on D-branes probing local toric (pseudo) del Pezzo surfaces. The superpotential deformations are defined by zig-zag paths in the brane tiling and are non-trivial in the chiral ring if the geometry has a non-isolated singularity. In the dual (p, q) web, the deformation is realized as a Hanany-Witten move that reverses a semi-infinite fivebrane. We use these deformations to find RG flows between 4d N = 1 SCFTs on D3-branes probing local toric (pseudo) del Pezzo surfaces of the same degree, and briefly comment on the interpretation for BPS quivers of rank one 5d SCFTs on S1.

Citation

Cremonesi, S., & Sá, J. (2024). Zig-zag deformations of toric quiver gauge theories. Part I. Reflexive polytopes. Journal of High Energy Physics, 2024(5), Article 114. https://doi.org/10.1007/jhep05%282024%29114

• Journal Article Type: Article
• Acceptance Date: Apr 3, 2024
• Online Publication Date: May 10, 2024
• Publication Date: 2024-05
• Deposit Date: May 21, 2024
• Publicly Available Date: May 21, 2024
• 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: 2024
• Issue: 5
• Article Number: 114
• DOI: https://doi.org/10.1007/jhep05%282024%29114
• Keywords: D-Branes, Supersymmetric Gauge Theory, AdS-CFT Correspondence
• Public URL: https://durham-repository.worktribe.com/output/2455058
• Related Public URLs: https://arxiv.org/abs/2312.13909