Metric algebroid and Poisson-Lie T-duality in DFT
DOI10.1007/s00220-023-04765-yzbMath1530.81062arXiv2207.14725MaRDI QIDQ6116808
Ursula Carow-Watamura, Kohei Miura, Satoshi Watamura
Publication date: 16 August 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.14725
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Numerical methods for discrete and fast Fourier transforms (65T50) Dilations, extensions, compressions of linear operators (47A20) Group structures and generalizations on infinite-dimensional manifolds (58B25) Differential topological aspects of diffeomorphisms (57R50) Dimensional compactification in quantum field theory (81T33)
Cites Work
- Unnamed Item
- Scale invariance of the \(\eta\)-deformed \(\mathrm{AdS}_{5} \times S^{5}\) superstring, T-duality and modified type II equations
- Exploring double field theory
- Torsion-free generalized connections and heterotic supergravity
- Double field theory of type II strings
- Even symplectic supermanifolds and double field theory
- Generalized complex geometry
- Derived brackets
- Poisson-Lie T-duality in double field theory
- Brackets, forms and invariant functionals
- Poisson-Lie T-duality and Courant algebroids
- A local index theorem for non-Kähler manifolds
- Geometry of Batalin-Vilkovisky quantization
- Manin triples for Lie bialgebroids
- Poisson-Lie \(T\)-duality and loop groups of Drinfeld doubles.
- Poisson-Lie T-duality of string effective actions: a new approach to the dilaton puzzle
- Flux formulation of DFT on group manifolds and generalized Scherk-Schwarz compactifications
- Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
- Higher gauge theories from Lie \(n\)-algebras and off-shell covariantization
- The topology of Double Field Theory
- Generalized gravity from modified DFT
- Doubled aspects of generalised dualities and integrable deformations
- Double field theory on group manifolds
- Ramond-Ramond cohomology and O\((D,D)\) T-duality
- Courant algebroids, Poisson-Lie T-duality, and Type II supergravities
- Generalized metric formulation of double field theory
- Supergravity as generalised geometry I: type II theories
- M-theoretic Lichnerowicz formula and supersymmetry
- Ricci flow, Courant algebroids, and renormalization of Poisson-Lie T-duality
- Extended Riemannian geometry. I: Local double field theory
- Double field theory and membrane sigma-models
- Ricci flow, Killing spinors, and T-duality in generalized geometry
- DFT in supermanifold formulation and group manifold as background geometry
- Pre-Courant algebroids
- Transitive Courant algebroids
- Generalized metric formulation of double field theory on group manifolds
- Metric algebroid and Dirac generating operator in Double Field Theory
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Double field theory: a pedagogical review
- On the geometry of double field theory
- Lectures on generalized geometry
- Generalised geometry and type II supergravity
- Lectures on Cohomology, T-Duality, and Generalized Geometry
- Weyl invariance for generalized supergravity backgrounds from the doubled formalism
- More on doubled aspects of algebroids in double field theory
- Dirac Manifolds
- Duality orbits of non‐geometric fluxes
- Type II DFT solutions from Poisson–Lie $T$-duality/plurality
- Doubled Field Theory, T-Duality and Courant-Brackets
- Lectures on AKSZ Sigma Models for Physicists
- Towards an invariant geometry of double field theory
- Poisson-Lie \(T\)-duality
- On the AKSZ formulation of the Poisson sigma model.
- \(\eta\) and \(\lambda\) deformations as \(\mathcal{E}\)-models
This page was built for publication: Metric algebroid and Poisson-Lie T-duality in DFT
