期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP10(2012)053
关键词
Supersymmetric gauge theory; Field Theories in Lower Dimensions; Chern-Simons Theories; Conformal and W Symmetry
资金
- DOE
- Princeton University
- NSF [PHY-0969448]
- Peter Award
- Patricia Gruber Award
- Israel Science Foundation [884/11]
- DOE [DE-FG02-90ER40542]
- United States-Israel Binational Science Foundation (BSF) [2010/629]
- Division Of Physics
- Direct For Mathematical & Physical Scien [969448] Funding Source: National Science Foundation
We consider three-dimensional N = 2 superconformal field theories on a three-sphere and analyze their free energy F as a function of background gauge and supergravity fields. A crucial role is played by certain local terms in these background fields, including several Chern-Simons terms. The presence of these terms clarifies a number of subtle properties of F. This understanding allows us to prove the F-maximization principle. It also explains why computing F via localization leads to a complex answer, even though we expect it to be real in unitary theories. We discuss several corollaries of our results and comment on the relation to the F-theorem.
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