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The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
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In this paper, the Bethe ansatz technique is applied for the calculation of the observables in the strong coupling region of the sine-Gordon model and the results are in the exact agreement with ones following from the sigma model action, which is a two-parameter U (1) ⊗ ( 1) symmetrical deformation of the O(4) non-finear sigma Model.About:
This article is published in Nuclear Physics.The article was published on 1996-08-12. It has received 198 citations till now. The article focuses on the topics: Sigma model & Bethe ansatz.read more
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Liouville Field Theory — A decade after the revolution
TL;DR: In this paper, a review of the recent developments of the Liouville field theory and its matrix model dual is presented, which includes some original material such as the derivation of the conjectured dual action for the N = 2 LiOUville theory from other known dualities and the comparison of the cross-cap state with the c = 0 unoriented matrix model.
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On integrable deformations of superstring sigma models related to AdSn×Sn supercosets
Ben Hoare,Arkady A. Tseytlin +1 more
TL;DR: In this paper, integrable deformations of 2d sigma models on supercosets associated with AdS n × S n were considered, and the authors showed that the η-deformation model may be obtained from the λ-deformed one by a special scaling limit and analytic continuation in coordinates combined with a particular identification of the parameters of the two models.
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On deformations of AdS n × S n supercosets
TL;DR: In this paper, the authors studied the deformed AdSForgeModLoader 5 × S petertodd 5 supercoset model of arXiv:1309.5850 which depends on one parameter κ and has classical quantum group symmetry and confirmed the conjecture that in the "maximal" deformation limit, κ → ∞, this model is T-dual to double Wick rotation of the target space.
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Generalised integrable λ- and η-deformations and their relation
TL;DR: In this article, a two-parameter family of integrable λ -deformations of two-dimensional field theories is presented. But these are related to bi-Yang-Baxter generalisations of η-deformation via Poisson-Lie T-duality and analytic continuation.
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η and λ deformations as E-models
TL;DR: In this article, it was shown that the λ-model and the η-model are related by a simple analytic continuation, where the double is the direct product G × G while the complexified group G C.
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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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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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Quantum sine-Gordon equation as the massive Thirring model
TL;DR: The sine-Gordon soliton was identified with the fundamental fermion of the Thirring model in this paper, where it was shown that the energy density of the theory is unbounded below.
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Conformal invariance, the central charge, and universal finite-size amplitudes at criticality.
TL;DR: It is shown that for conformally invariant two-dimensional systems, the amplitude of the finite-size corrections to the free energy of an infinitely long strip of width L at criticality is linearly related to the conformal anomaly number c, for various boundary conditions.