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Gauge Theories, Tessellations & Riemann Surfaces

He, Y. and van Loon, M. (2014). Gauge Theories, Tessellations & Riemann Surfaces. Journal of High Energy Physics, 2014(6), p. 53. doi: 10.1007/JHEP06(2014)053

Abstract

We study and classify regular and semi-regular tessellations of Riemann surfaces of various genera and investigate their corresponding supersymmetric gauge theories. These tessellations are generalizations of brane tilings, or bipartite graphs on the torus as well as the Platonic and Archimedean solids on the sphere. On higher genus they give rise to intricate patterns. Special attention will be paid to the master space and the moduli space of vacua of the gauge theory and to how their geometry is determined by the tessellations.

Publication Type: Article
Publisher Keywords: Brane Dynamics in Gauge Theories, AdS-CFT Correspondence, Differential and Algebraic Geometry
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/12858
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