Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2014)150
Keywords
Supersymmetric gauge theory; Global Symmetries; Duality in Gauge Field Theories
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Funding
- JSPS postdoctoral fellowship
- NSF grant [PHY-0756966]
- JSPS postdoctoral fellowship
- NSF grant [PHY-0756966]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1314198] Funding Source: National Science Foundation
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We use localization techniques to calculate the Euclidean partition functions for N = 1 theories on four-dimensional manifolds M of the form S-1 x M-3, where M-3 is a circle bundle over a Riemann surface. These are generalizations of the N = 1 indices in four-dimensions including the lens space index. We show that these generalized indices are holomorphic functions of the complex structure moduli on M. We exhibit the deformation by background flat connection.
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