期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2011)040
关键词
Supersymmetry and Duality; Brane Dynamics in Gauge Theories; Supersymmetric gauge theory; Integrable Field Theories
资金
- NSF [PHY-0348093]
- DOE [DE-FG-02-95ER40896]
- Research Corporation
- University of Wisconsin
- STFC [ST/J000434/1, ST/G000506/1, ST/J00040X/1, ST/G000581/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J00040X/1, ST/G000581/1, ST/G000506/1, ST/J000434/1] Funding Source: researchfish
We prove a duality, recently conjectured in arXiv: 1103.5726, which relates the F-terms of supersymmetric gauge theories defined in two and four dimensions respectively. The proof proceeds by a saddle point analysis of the four-dimensional partition function in the Nekrasov-Shatashvili limit. At special quantized values of the Coulomb branch moduli, the saddle point condition becomes the Bethe Ansatz Equation of the SL(2) Heisenberg spin chain which coincides with the F-term equation of the dual two-dimensional theory. The on-shell values of the superpotential in the two theories are shown to coincide in corresponding vacua. We also identify two-dimensional duals for a large set of quiver gauge theories in four dimensions and generalize our proof to these cases.
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