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A New 2d/4d Duality via Integrability
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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.
Forward citations
Cited by 2 Pith papers
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Quantum Elliptic Calogero-Moser Systems from Gauge Origami
The gauge-origami folded instanton partition function yields the characteristic polynomial whose large-x expansion reproduces the commuting Hamiltonians of the elliptic double Calogero-Moser system.
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On Quiver W-algebras and Defects from Gauge Origami
The defect partition function of U(n) N=1* theory and the Kimura-Pestun quiver qW-algebra are matched through gauge origami and identified with modules of the large-n spherical double affine Hecke algebra.
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