Metric Algebroid and Poisson-Lie T-duality in DFT
arXiv:2207.14725 · doi:10.1007/s00220-023-04765-y
Abstract
In this article we investigate the gauge invariance and duality properties of DFT based on a metric algebroid formulation given previously in [1]. The derivation of the general action given in this paper does not employ the section condition. Instead, the action is determined by requiring a pre-Bianchi identity on the structure functions of the metric algebroid and also for the dilaton flux. The pre-Bianchi identity is also a sufficient condition for a generalized Lichnerowicz formula to hold. The reduction to the D-dimensional space is achieved by a dimensional reduction of the fluctuations. The result contains the theory on the group manifold, or the theory extending to the GSE, depending on the chosen background. As an explicit example we apply our formulation to the Poisson-Lie T-duality in the effective theory on a group manifold. It is formulated as a 2D-dimensional diffeomorphism including the fluctuations.
arXiv comment61 pages
References in corpus (42)
- Double Field Theory
- Generalized metric formulation of double field theory
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Superspace Duality in Low-Energy Superstrings
- Dual Non-Abelian Duality and the Drinfeld Double
- Double Field Theory: A Pedagogical Review
- The gauge algebra of double field theory and Courant brackets
- Geometry of Batalin-Vilkovisky quantization
- Supergravity as Generalised Geometry I: Type II Theories
- Exploring Double Field Theory
- Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
- Derived brackets
- Double Field Theory of Type II Strings
- Poisson-Lie T-duality
- Duality orbits of non-geometric fluxes
- and deformations as -models
- Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
- Torsion-free generalized connections and Heterotic Supergravity
- Ramond-Ramond Cohomology and O(D,D) T-duality
- Poisson-Lie T-plurality
- On the geometry of double field theory
- Double Field Theory, T-Duality, and Courant Brackets
- Comments on T-dualities of Ramond-Ramond Potentials
- Generalized Metric Formulation of Double Field Theory on Group Manifolds
- Generalized gravity from modified DFT
- Double Field Theory and Membrane Sigma-Models
- Towards an invariant geometry of double field theory
- Even symplectic supermanifolds and double field theory
- Lectures on AKSZ Sigma Models for Physicists
- Weyl invariance for generalized supergravity backgrounds from the doubled formalism
- Poisson-Lie T-duality and Courant algebroids
- Type II DFT solutions from Poisson-Lie T-duality/plurality
- Extended Riemannian Geometry I: Local Double Field Theory
- Generalised Geometry and type II Supergravity
- Poisson-Lie T-duality of String Effective Actions: A New Approach to the Dilaton Puzzle
- Ricci flow, Courant algebroids, and renormalization of Poisson--Lie T-duality
- Pre-Courant Algebroids
- More on Doubled Aspects of Algebroids in Double Field Theory
- DFT in supermanifold formulation and group manifold as background geometry
- Manin Triples for Lie Bialgebroids
- Metric algebroid and Dirac generating operator in Double Field Theory
- Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization