$I$ in generalized supergravity

Abstract

We showed in previous work that for homogeneous Yang-Baxter (YB) deformations of AdS${}_5\times$S${}^5$, the open string metric and coupling, and as a result the closed string density $e^{-2\Phi }\sqrt{g}$, remain undeformed. In this work, in addition to extending these results to the deformation associated with the modified CYBE, or $\eta$-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 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.

11 pages, 2 column; v2 references updated; v3 to appear in EPJC

References in corpus (20)

• Double Field Theory
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• On deformations of AdS_n x S^n supercosets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Abelian Yang-Baxter Deformations and TsT transformations
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Yang-Baxter sigma models based on the CYBE
• Spacetimes for λ-deformations
• Integrability of classical strings dual for noncommutative gauge theories
• A Jordanian deformation of AdS space in type IIB supergravity
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Schrödinger geometries arising from Yang-Baxter deformations
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Giant Magnon on Deformed AdS(3)xS(3)
• Marginal and non-commutative deformations via non-abelian T-duality
• Integrability of the eta-deformed Neumann-Rosochatius model
• Finite-size effect of η-deformed AdS_5 x S^5 at strong coupling

Cited by in corpus (1)

• $T$-folds from Yang-Baxter deformations