Jordanian deformations of the AdS5 × S5 superstring

By Io Kawaguchi, Takuya Matsumoto, Kentaroh Yoshida. 2014

211 citations recorded by the source corpus.

A bstractWe consider Jordanian deformations of the AdS5 × S5 superstring action. These deformations correspond to non-standard q-deformations. In particular, it is possible to perform a partial deformation, for example, of the AdS5 part only, or of the S5 part only. Then the classical action and the Lax pair are constructed with a linear, twisted and extended R operator. It is shown that the action preserves the κ-symmetry.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c7a8a29f3bbf4c26a8e0b64fc24488fd60b2d813

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Citations in the corpus

Integrable deformations of strings on symmetric spaces (2014, methodology): “It involves deforming the target-space background of the Green-Schwarz sigma-model [15–17].”
Lunin-Maldacena backgrounds from the classical Yang-Baxter equation — towards the gravity/CYBE correspondence (2014, methodology): “1) with a Jordanian R-operator, the Lax pair has been constructed [39] and the classical integrability is ensured in this sense.”
Deformed integrable σ-models, classical R-matrices and classical exchange algebra on Drinfel’d doubles (2015, background): “Such a transformation was interpreted there as the classical analogue of a Jordanian twist – see also [13, 14].”
Abelian Yang–Baxter deformations and TsT transformations (2016, methodology): “The Yang-Baxter deformed action is given by [11, 24] S ∝ ∫”