Gauge theories and dessins d’enfants: beyond the torus

Bose, Sownak; Gundry, James; He, Yang-Hui

Abstract

Dessin d’enfants on elliptic curves are a powerful way of encoding doubly-periodic brane tilings, and thus, of four-dimensional supersymmetric gauge theories whose vacuum moduli space is toric, providing an interesting interplay between physics, geometry, combinatorics and number theory. We discuss and provide a partial classification of the situation in genera other than one by computing explicit Belyi pairs associated to the gauge theories. Important also is the role of the Igusa and Shioda invariants that generalise the elliptic j-invariant.

Citation

Bose, S., Gundry, J., & He, Y.-H. (2015). Gauge theories and dessins d’enfants: beyond the torus. Journal of High Energy Physics, 2015(1), Article 135. https://doi.org/10.1007/jhep01%282015%29135

• Journal Article Type: Article
• Acceptance Date: Jan 6, 2015
• Online Publication Date: Jan 27, 2015
• Publication Date: Jan 27, 2015
• Deposit Date: Apr 5, 2019
• Publicly Available Date: Apr 5, 2019
• 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: 2015
• Issue: 1
• Article Number: 135
• DOI: https://doi.org/10.1007/jhep01%282015%29135
• Public URL: https://durham-repository.worktribe.com/output/1299264