期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP10(2013)095
关键词
Supersymmetric gauge theory; Chern-Simons Theories
资金
- ERC STG grant [306260]
- Royal Society
- ERC [304806]
- EPSRC [EP/D07150X/3]
- STFC [ST/J002798/1]
- Oriel College, Oxford
- Engineering and Physical Sciences Research Council [EP/D07150X/3] Funding Source: researchfish
- Science and Technology Facilities Council [ST/J002798/1] Funding Source: researchfish
- EPSRC [EP/D07150X/3] Funding Source: UKRI
- STFC [ST/J002798/1] Funding Source: UKRI
We consider supersymmetric gauge theories on Riemannian three-manifolds with the topology of a three-sphere. The three-manifold is always equipped with a contact structure and an associated Reeb vector field. We show that the partition function depends only on this vector field, giving an explicit expression in terms of the double sine function. In the large N limit our formula agrees with a recently discovered two-parameter family of dual supergravity solutions. We also explain how our results may be applied to prove vortex-antivortex factorization. Finally, we comment on the extension of our results to three-manifolds with non-trivial fundamental group.
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