On F-term contribution to effective action
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In this article, the authors apply equivariant integration technique, developed in the context of instanton counting, to two dimensional = 2 supersymmetric Yang-Mills models.Abstract:
We apply equivariant integration technique, developed in the context of instanton counting, to two dimensional = 2 supersymmetric Yang-Mills models. The expression for the twisted superpotential for U(N) model is conjectured. Connections to the four dimensional case are discussed.read more
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Vortex Counting and Lagrangian 3-manifolds
TL;DR: In this paper, the relation between vortex counting in two-dimensional supersymmetric field theories and the refined BPS invariants of the dual geometries was studied, which can also be mapped to the computation of degenerate conformal blocks in 2-dimensional CFTs.
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Exact results in D = 2 supersymmetric gauge theories
TL;DR: In this article, the partition function of two-dimensional Liouville/Toda CFT was shown to admit two dual descriptions: either as an integral over the Coulomb branch or as a sum over vortex and anti-vortex excitations on the Higgs branches of the theory.
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Partition functions of N = (2,2) gauge theories on S 2 and vortices
TL;DR: In this article, the authors apply localization techniques to compute the partition function of a two-dimensional R-symmetric theory of vector and chiral multiplets on S2, where the path integral reduces to a sum over topological sectors of a matrix integral over the Cartan subalgebra of the gauge group.
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Holomorphic blocks in three dimensions
TL;DR: In this paper, the authors decompose sphere partition functions and indices of three-dimensional = 2 gauge theories into a sum of products involving a universal set of holomorphic blocks, which are in one-to-one correspondence with the theory's massive vacua.
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Exact Results in D=2 Supersymmetric Gauge Theories
TL;DR: In this paper, the partition function of two dimensional N=(2,2) gauge theories on S^2 was shown to admit two dual descriptions: either as an integral over the Coulomb branch or as a sum over vortex and anti-vortex excitations on the Higgs branches of the theory.
References
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Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
TL;DR: In this article, the authors studied the vacuum structure and spectrum of N = 2 supersymmetric gauge theory in four dimensions, with gauge group SU(2), and obtained exact formulas for electron and dyon masses and the metric on the moduli space of vacua.
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Topological quantum field theory
TL;DR: A twisted version of four dimensional supersymmetric gauge theory is formulated in this paper, which refines a nonrelativistic treatment by Atiyah and appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally.
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Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD
TL;DR: In this article, the authors studied four dimensional N = 2 supersymmetric gauge theories with matter multiplets and derived the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states.
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Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
Nathan Seiberg,Edward Witten +1 more
TL;DR: In this paper, the vacuum structure and dyon spectrum of N = 2 supersymmetric gauge theory in four dimensions, with gauge group SU(2), were studied. And the theory turns out to have remarkably rich and physical properties which can nonetheless be described precisely; exact formulas can be obtained, for instance, for electron and Dyon masses and the metric on the moduli space of vacua.
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Phases of N = 2 theories in two dimensions
TL;DR: In this paper, a natural relation between sigma models based on Calabi-Yau hypersurfaces in weighted projective spaces and Landau-Ginzburg models is found.