S-matrix of N=2 supersymmetric sine-Gordon theory

Kobayashi, Kenichiro; Uematsu, Tsuneo

doi:10.1016/0370-2693(92)91603-7

Cited by 27 publications

(34 citation statements)

References 34 publications

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“…The tree-level and one-loop S-matrices for these theories were computed in [53,54], while the exact S-matrices have been conjectured using integrability techniques in [55] for the reduced AdS 2 ×S 2 model, [54] for the reduced AdS 3 ×S 3 model and [30] for the reduced AdS 5 × S 5 model. where Ω ab = ǫ ab , Ω αβ = ǫ αβ and Ω aβ = Ω αb = 0.…”

Section: Integrable Theories With Fermionsmentioning

confidence: 99%

Two-dimensional S-matrices from unitarity cuts

Bianchi

Форини

Hoare

2013

J. High Energ. Phys.

106

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Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories, finding evidence that for supersymmetric models the one-loop S-matrix is cut-constructible, while for models without supersymmetry (but with integrability) the missing rational terms are proportional to the tree-level S-matrix and therefore can be interpreted as a shift in the coupling. Finally, applying our procedure to the world-sheet theory for the light-cone gauge-fixed AdS_5 x S^5 superstring we reproduce, at one-loop in the near-BMN expansion, the S-matrix known from integrability techniques.Comment: 23 pages, 1 figure; v2: 24 pages, minor corrections, reference and note added; v3: minor typos correcte

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Section: Integrable Theories With Fermionsmentioning

confidence: 99%

Two-dimensional S-matrices from unitarity cuts

Bianchi

Форини

Hoare

2013

J. High Energ. Phys.

106

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“…Exact N = 1 and N = 2 supersymmetric S-matrices in two-dimensional integrable models have been studied by many different authors during the last few years (see for instance [30,31,32,33,34]). Recently some of the work on N = 1 theories has been extended further in [6] and [35].…”

Section: Minimal Supersymmetric S-matricesmentioning

confidence: 99%

Trigonometric S Matrices, Affine Toda Solitons and Supersymmetry

Gandenberger

1998

Int. J. Mod. Phys. A

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Using U q (a (1) n )-and U q (a (2) 2n )-invariant R-matrices we construct exact S-matrices in two-dimensional space-time. These are conjectured to describe the scattering of solitons in affine Toda field theories. In order to find the spectrum of soliton bound states we examine the pole structure of these S-matrices in detail. We also construct the S-matrices for all scattering processes involving scalar bound states. In the last part of this paper we discuss the connection of these S-matrices with minimal N = 1 and N = 2 supersymmetric S-matrices. In particular we comment on the folding from N = 2 to N = 1 theories. a

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“…These reduced theories are all classically integrable, demonstrated by the existence of a Lax connection, and conjectured to be UV-finite [20]. The tree-level and one-loop S-matrices for these theories were computed in [21,22], while the exact S-matrices have been conjectured using integrability techniques in [23] for the reduced AdS 2 × S 2 model, [22] for the reduced AdS 3 × S 3 model and [24] for the reduced AdS 5 × S 5 model. In all the cases considered, the agreement is exact and no additional shift of the coupling is needed.…”

Section: Relativistic Modelsmentioning

confidence: 99%

Scattering and Unitarity Methods in Two Dimensions

Форини

Bianchi

Hoare

2015

Springer Proceedings in Physics

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This is the draft version of the paper.This version of the publication may differ from the final published version. Permanent Unitarity methods for scattering in two dimensionsValentina Forini, Lorenzo Bianchi and Ben HoareAbstract The standard unitarity-cut method is applied to several massive twodimensional models, including the world-sheet AdS 5 × S 5 superstring, to compute 2 → 2 scattering S-matrices at one loop from tree level amplitudes. Evidence is found for the cut-constructibility of supersymmetric integrable models, while for models without supersymmetry (but integrable) the missing rational terms can be interpreted as a shift in the coupling.

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S-matrix of N=2 supersymmetric sine-Gordon theory

Abstract: We investigate the S-matrix of N=2 supersymmetric sine-Gordon theory based on the N=2 supersymmetry and the quantum group structure. The topological charges play an important role to derive physical contents.

Cited by 27 publications

References 34 publications

Two-dimensional S-matrices from unitarity cuts

Two-dimensional S-matrices from unitarity cuts

Trigonometric S Matrices, Affine Toda Solitons and Supersymmetry

Scattering and Unitarity Methods in Two Dimensions

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