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Paper   IPM / Physic / 14672
School of Physics
  Title:   Yang-Baxter σ-models, conformal twists & noncommutative Yang-Mills
1.  T. Araujo
2.  I. Bakhmatov
3.  E. O Colgain
4.  J. Sakamoto
5.  M.M. Sheikh-Jabbari
6.  K. Yoshida
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  95
  Year:  2017
  Pages:   105006
  Supported by:  IPM
The Yang-Baxter σ-model is a systematic way to generate integrable deformations of AdS5×S5. We recast the deformations as seen by open strings, where the metric is undeformed AdS5×S5 with constant string coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter Θ. We identify the deformations of AdS5 as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity conditon on r-matrices for supergravity solutions translates into Θ being divergence-free. Integrability of the σ-model for unimodular r-matrices implies the existence and planar integrability of the dual NC gauge theory.

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