期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 6, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP06(2014)053
关键词
Brane Dynamics in Gauge Theories; AdS-CFT Correspondence; Differentialm and Algebraic Geometry
资金
- Science and Technology Facilities Council, U.K. [ST/J00037X/1]
- city of Tian-Jin
- US NSF [CCF-1048082]
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [1048082] Funding Source: National Science Foundation
- STFC [ST/J00037X/1, ST/L000482/1, PP/E006159/2] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000482/1, ST/J00037X/1, PP/E006159/2] Funding Source: researchfish
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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