期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2013)039
关键词
Supersymmetric gauge theory; Chern-Simons Theories; AdS-CFT Correspondence
资金
- NSF [PHY-0969739, PHY-0844827, PHY-0756966]
- Sloan Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [844827, 756966] Funding Source: National Science Foundation
We apply the matrix model of Kapustin, Willett and Yaakov to compute the free energy of N = 3 Chern-Simons matter theories with D-n Dn quivers in the large N limit. We conjecture a general expression for the free energy that is explicitly invariant under Seiberg duality and show that it can be interpreted as a sum over certain graphs known as signed graphs. Through the AdS/CFT correspondence, this leads to a prediction for the volume of certain tri-Sasaki Einstein manifolds. We also study the unfolding procedure, which relates these b D-n quivers to A(2n-5) quivers. Furthermore, we consider the addition of massive fundamental flavor fields, verifying that integrating these out decreases the free energy in accordance with the F-theorem.
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