Gauge theories, tessellations & Riemann surfaces

被引：0
|
作者：
Yang-Hui He
Mark van Loon
机构：
[1] City University,Department of Mathematics
[2] NanKai University,School of Physics
[3] University of Oxford,Merton College
来源：
Journal of High Energy Physics | / 2014卷
关键词：
Brane Dynamics in Gauge Theories; AdS-CFT Correspondence; Differential and Algebraic Geometry;
D O I：
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摘要：
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.
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