Eur. Phys. J. C (2017) 77: 739
https://doi.org/10.1140/epjc/s10052-017-5316-5

Letter

I in generalized supergravity

¹ Asia Pacific Center for Theoretical Physics, Postech, Pohang, 37673, South Korea
² Department of Physics, Kyoto University, Kitashirakawa, Kyoto, 606-8502, Japan
³ School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

^* e-mail: ocolgain.eoin@apctp.org

Received: 22 August 2017
Accepted: 17 October 2017
Published online: 6 November 2017

Abstract

We showed in previous work that for homogeneous Yang–Baxter (YB) deformations of AdSS the open string metric and coupling and as a result the closed string density remain undeformed. In this work, in addition to extending these results to the deformation associated with the modified CYBE or -deformation, 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 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 the center of mass motion on the worldvolume of a D-brane 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.