2009
DOI: 10.1016/j.nuclphysbps.2009.07.047
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Supersymmetric Vacua and Bethe Ansatz

Abstract: This note is a short announcement of some results of a longer paper where the supersymmetric vacua of two dimensional N = 4 gauge theories with matter, softly broken by the twisted masses down to N = 2, are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians. The Heisenberg SU (2) XXX spin chain is mapped to the two dimensional U (N ) theory with fundamental hypermultiplets, the XXZ spin chain is mapped to the analogous three dimensional super-Yang-Mills theory c… Show more

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Cited by 345 publications
(622 citation statements)
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“…In [4][5][6] the correspondence, called the Bethe/gauge correspondence, between the two dimensional N = 2 supersymmetric gauge theories and quantum integrable systems was formulated in full generality. The novelty of this correspondence is the identification of the Planck constant of the quantum integrable system with a twisted mass parameter on the gauge theory side.…”
Section: Jhep01(2015)100mentioning
confidence: 99%
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“…In [4][5][6] the correspondence, called the Bethe/gauge correspondence, between the two dimensional N = 2 supersymmetric gauge theories and quantum integrable systems was formulated in full generality. The novelty of this correspondence is the identification of the Planck constant of the quantum integrable system with a twisted mass parameter on the gauge theory side.…”
Section: Jhep01(2015)100mentioning
confidence: 99%
“…In [4][5][6] explicit formulas for W eff for a very large class of theories were given, including the properly two dimensional theories, three dimensional theories compactified on a circle, and four dimensional theories compactified on the two-torus or subject to the two dimensional Ω-deformation [14]; the interested reader can consult these papers for details. Our notations follow mostly the conventions from these papers.…”
Section: Jhep01(2015)100mentioning
confidence: 99%
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