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Paper   IPM / Physic / 14885
School of Physics
  Title:   I in generalized supergravity
1.  T. Araujo
2.  E. $\'O Colg\'ain$
3.  J. Sakamoto
4.  M.M. Sheikh-Jabbari
5.  K. Yoshida
  Status:   Published
  Journal: Eur. Phys. J. C
  No.:  11
  Vol.:  77
  Year:  2017
  Pages:   739
  Supported by:  IPM
We showed in previous work that for Yang-Baxter (YB) deformations of AdS5×S5, the open string metric and coupling, and as a result the closed string density e−2 Φg, remains undeformed. In this work we identify the Page forms as the open string counterpart for RR fields and demonstrate case by case that the non-zero Page forms remain invariant under YB deformations. We show that these results remain true, not only for homogenous YB deformations, but also for modified YB deformations associated with η-deformations. We give a physical meaning to the Killing vector I of generalized supergravity and show for all YB deformations: 1) I appears as a current for center of mass motion on the worldvolume of a D-branes probing the background, 2) I is equal to the divergence of the noncommutativity parameter, 3) I exhibits "holographic" behavior, where the radial component of I vanishes at the AdS boundary, and 4) in pure spinor formalism I is related to a certain state in the BRST cohomology.

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