Generalized gravity from modified DFT

Abstract

Recently, generalized equations of type IIB supergravity have been derived from the requirement of classical kappa-symmetry of type IIB superstring theory in the Green-Schwarz formulation. These equations are covariant under generalized T-duality transformations and hence one may expect a formulation similar to double field theory (DFT). In this paper, we consider a modification of the DFT equations of motion by relaxing a condition for the generalized covariant derivative with an extra generalized vector. In this modified double field theory (mDFT), we show that the flatness condition of the modified generalized Ricci tensor leads to the NS-NS part of the generalized equations of type IIB supergravity. In particular, the extra vector fields appearing in the generalized equations correspond to the extra generalized vector in mDFT. We also discuss duality symmetries and a modification of the string charge in mDFT.

41 pages; v2: typos corrected, references added; v3: an addendum added in Sec.5; v4: typos corrected, clarifications added, to appear in JHEP

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• $T$-folds from Yang-Baxter deformations
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• Classical Yang-Baxter Equation from Supergravity
• Local $\beta$-deformations and Yang-Baxter sigma model
• Type II DFT solutions from Poisson-Lie T-duality/plurality
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• Weyl invariance of string theories in generalized supergravity backgrounds
• Non-Riemannian geometry of M-theory
• Generalized Dualities and Higher Derivatives
• Tri-vector deformations in $d=11$ supergravity
• Non-Abelian U-duality for membrane
• Classical Yang-Baxter equation from beta-supergravity
• Dressing cosets and multi-parametric integrable deformations
• Weaving the Exotic Web
• Classical and Quantum Aspects of Yang-Baxter Wess-Zumino Models
• Non-abelian tri-vector deformations in d=11 supergravity
• Exploring Exceptional Drinfeld Geometries
• Poisson-Lie duals of the eta deformed symmetric space sigma model
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• Non-Abelian T-duality as a Transformation in Double Field Theory
• Yang-Baxter deformations and generalized supergravity -- A short summary
• On non-abelian U-duality of 11D backgrounds
• Generalized Supergravity Equations and Generalized Fradkin-Tseytlin Counterterm
• $O(d,d)$ transformations preserve classical integrability
• Non-abelian fermionic T-duality in supergravity
• Generalized Dualities and Supergroups
• Yang-Baxter deformations of $W_{2,4}\times T^{1,1}$ and the associated T-dual models
• Generalizing eleven-dimensional supergravity
• Generalized 11D supergravity equations from tri-vector deformations
• Jacobi-Lie T-plurality
• Massive Deformations of Type IIA Theory Within Double Field Theory
• Poisson-Lie transformations and Generalized Supergravity Equations
• Type II Double Field Theory in Superspace
• Metric Algebroid and Poisson-Lie T-duality in DFT
• Poisson-Lie T-plurality for dressing cosets
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• An invitation to Poisson-Lie T-duality in Double Field Theory and its applications
• Generalized Supergravity Equations for the WZW Model
• Yang-Baxter structure of the extended space
• Integrable deformed H${}_{{}_4}$ WZW models and their non-Abelian duals as solutions of generalized supergravity equations
• Half-maximal Extended Drinfel'd Algebras