A new 2d/4d duality via integrability

作者：Chen Heng Yu^*; Dorey Nick; Hollowood Timothy J; Lee Sungjay

来源：The Journal of High Energy Physics, 2011, 2011(9): 040.

DOI：10.1007/JHEP09(2011)040

• Supersymmetry and Duality
• Brane Dynamics in Gauge Theories
• Supersymmetric gauge theory
• Integrable Field Theories

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.

• 出版日期2011-9