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.
61 pages
References in corpus (6)
- Double Field Theory
- The gauge algebra of double field theory and Courant brackets
- Duality orbits of non-geometric fluxes
- Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
- Ramond-Ramond Cohomology and O(D,D) T-duality
- DFT in supermanifold formulation and group manifold as background geometry