Integrability of classical strings dual for noncommutative gauge theories

Abstract

We derive the gravity duals of noncommutative gauge theories from the Yang-Baxter sigma model description of the AdS_5xS^5 superstring with classical r-matrices. The corresponding classical r-matrices are 1) solutions of the classical Yang-Baxter equation (CYBE), 2) skew-symmetric, 3) nilpotent and 4) abelian. Hence these should be called abelian Jordanian deformations. As a result, the gravity duals are shown to be integrable deformations of AdS_5xS^5. Then, abelian twists of AdS_5 are also investigated. These results provide a support for the gravity/CYBE correspondence proposed in arXiv:1404.1838.

16 pages, no figure, LaTeX

References in corpus (5)

• On deformations of AdS_n x S^n supercosets
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• A Jordanian deformation of AdS space in type IIB supergravity
• Integrable twists in AdS/CFT

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