S-matrix for strings on η-deformed AdS5 × S5

By G. Arutyunov, R. Borsato, S. Frolov. 2013

233 citations recorded by the source corpus.

A bstractWe determine the bosonic part of the superstring sigma model Lagrangian on η-deformed AdS5 × S5, and use it to compute the perturbative world-sheet scattering matrix of bosonic particles of the model. We then compare it with the large string tension limit of the q-deformed S-matrix and find exact agreement.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/450a8f97e031bcc91f639e651321a8b49112ca66

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Citations in the corpus

An integrable deformation of the AdS5 × S5 superstring (2014, background): “The explicit background fields for this deformed theory were found in [10] (see also [16–21] for other work on the deformed theory).”
On integrable deformations of superstring sigma models related to AdSn×Sn supercosets (2015, methodology): “For q real the S-matrix is unitary and has been shown to be in perturbative agreement [16, 17] with the η-model of [1].”
Deformed integrable σ-models, classical R-matrices and classical exchange algebra on Drinfel’d doubles (2015, unknown): “06 30 3v 1 [ he pth ] 2 3 A pr 2”
Integrable deformations of strings on symmetric spaces (2014, background): “The explicit background fields for this deformed theory, called the η deformation, were found in [20].”
Jordanian deformations of the AdS5 × S5 superstring (2014, unknown): “Then the bosonic part of the action was determined and, by using the action, the world-sheet S-matrix of bosonic excitations was computed in [35].”
Generalised integrable λ- and η-deformations and their relation (2015, background): “These η-deformations are particularly interesting since although the corresponding target spaces only display an Abelian subset of the original AdS5 × S5 isometry group, it is thought that the full symmetries of the string σ-model are governed by a quantum-group with a real quantum-group parameter q”
Scale invariance of the η-deformed AdS5 × S5 superstring, T-duality and modified type II equations (2015, background): “The ABF background [6,7] represents the couplings in the η-deformed AdS5 × S5 action [1] expanded to quadratic order in fermions and formally identified with a GS action.”
Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, background): “The operator 1−ηRg◦d can be inverted, at least for general values of the group coordinates, and generally perturbatively in η [11, 12].”
The complete worldsheet S matrix of superstrings on AdS3×S3×T4 with mixed three-form flux (2014, background): “It is likely that this parameter space can be further enhanced by the study of so-called η-deformations [67–71].”
On the rotating and oscillating strings in (AdS3 × S3)ϰ (2014, methodology): “The mirror sigma model, which is derived by taking a double Wick rotation in the worldsheet theory of light cone AdS5×S5, inherits the symmetries, and the integrability of the light cone AdS5×S5 sigma model, and is well-behaved.”
Lunin-Maldacena backgrounds from the classical Yang-Baxter equation — towards the gravity/CYBE correspondence (2014, background): “frame and NS-NS two-form have been determined so far [32].”
Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “This road has been taken in the case of AdS5/CFT4, where a plethora of deformations has been shown to preserve integrability, such as orbifolds [279,280] and T-duality-shift-T-duality (TsT) deformations [281,282] of the background, and quantum deformations (in the sense of quantum groups) of the und”