H+3WZNW model from Liouville field theory

Hikida, Yasuaki; Schomerus, Volker

doi:10.1088/1126-6708/2007/10/064

Cited by 75 publications

(245 citation statements)

References 34 publications

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“…However, the two realizations seem to be distinct for quiver gauge theories, already for gauge theories with two SU(2) factors. Nevertheless, it is known that affine sl(2) correlation functions and Liouville correlation functions with degenerate field insertions are related [55,56]. In this map the number of degenerate field insertions (2d defect surface operators) is larger than the number expected for the description of a 4d defect surface operator, that couple to all the gauge group factors in the quiver.…”

Section: Jhep01(2011)045 6 Summary and Outlookmentioning

confidence: 97%

Affine sl(N)conformal blocks from $ \mathcal{N} = 2 $ SU(N) gauge theories

Kozçaz

Pasquetti

Passerini

et al. 2011

J. High Energ. Phys.

115

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Recently Alday and Tachikawa [1] proposed a relation between conformal blocks in a two-dimensional theory with affine sl(2) symmetry and instanton partition functions in four-dimensional conformal N = 2 SU(2) quiver gauge theories in the presence of a certain surface operator. In this paper we extend this proposal to a relation between conformal blocks in theories with affine sl(N ) symmetry and instanton partition functions in conformal N = 2 SU(N ) quiver gauge theories in the presence of a surface operator. We also discuss the extension to non-conformal N = 2 SU(N ) theories.

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Section: Jhep01(2011)045 6 Summary and Outlookmentioning

confidence: 97%

Affine sl(N)conformal blocks from $ \mathcal{N} = 2 $ SU(N) gauge theories

Kozçaz

Pasquetti

Passerini

et al. 2011

J. High Energ. Phys.

115

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“…After a few introductory comments on the action of the OSP(1|2) WZNW model, we shall pass to a first order formulation involving two additional bosonic auxiliary fields along with two fermionic ones. Following the ideas of [16], we can then integrate out four bosonic fields. The resulting theory contains a single bosonic field and two pairs of chiral fermions.…”

Section: Osp(1|2) Wznw Model From N = 1 Liouville Theorymentioning

confidence: 99%

“…In order to apply the method of [16], it is essential to change the action in the first order formulation. Introducing new bosonic variables β,β as well as the fermionic ones p,p, all four of weight ∆ = 1, the action may be rewritten as…”

Section: Osp(1|2) Wznw Model From N = 1 Liouville Theorymentioning

confidence: 99%

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Structure constants of the OSP(1|2) WZNW model

Hikida¹,

Schomerus²

2007

J. High Energy Phys.

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We propose exact formulas for the 2-and 3-point functions of the WZNW model on the non-compact supergroup OSP(1|2). Using the path integral approach that was recently developed in arXiv:0706.1030 we show how local correlation functions in the OSP(p|2) WZNW models can be obtained from those of N = p supersymmetric Liouville field theory for p = 1, 2. We then employ known results on correlators in N = 1 Liouville theory to determine the structure constants of the OSP(1|2) theory.

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“…Recently path integral arguments led to correspondences [11,61,62] and dualities [59,60] involving sigma models on non-compact (super) target spaces. In our case such arguments turn out to be very simple.…”

Section: Ghost-systems and Cp N−1|n Sigma Modelsmentioning

confidence: 99%

Yangian superalgebras in conformal field theory

Creutzig

2011

Nuclear Physics B

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Quantum Yangian symmetry in several sigma models with supergroup or supercoset as target is established. Starting with a two-dimensional conformal field theory that has current symmetry of a Lie superalgebra with vanishing Killing form we construct non-local charges and compute their properties. Yangian axioms are satisfied, except that the Serre relations only hold for a subsector of the space of fields. Yangian symmetry implies that correlation functions of fields in this sector satisfy Ward identities. We then show that this symmetry is preserved by certain perturbations of the conformal field theory. The main example are sigma models of the supergroups PSL(N|N), OSP(2N+2|2N) and D(2,1;α) away from the WZW point. Further there are the OSP(2N+2|2N) Gross-Neveu models and current-current perturbations of ghost systems, both for the disc as world-sheet. The latter we show to be equivalent to CP N−1|N sigma models, while the former are conjecturally dual to supersphere sigma models. *

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H⁺₃WZNW model from Liouville field theory

Cited by 75 publications

References 34 publications

Affine sl(N)conformal blocks from $ \mathcal{N} = 2 $ SU(N) gauge theories

Affine sl(N)conformal blocks from $ \mathcal{N} = 2 $ SU(N) gauge theories

Structure constants of the OSP(1|2) WZNW model

Yangian superalgebras in conformal field theory

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