A New 2d/4d Duality via Integrability
Apr, 2011
19 pages
Published in:
- JHEP 09 (2011) 040
e-Print:
- 1104.3021 [hep-th]
Report number:
- DAMTP-2011-26,
- MAD-TH-11-01
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Citations per year
Abstract: (arXiv)
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.- Supersymmetry and Duality
- Brane Dynamics in Gauge Theories
- Supersymmetric gauge theory
- Integrable Field Theories
- dimension: 4
- dimension: 2
- gauge field theory: supersymmetry
- gauge field theory: quiver
- duality
- F-term
References(18)
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