Double field theory algebroid and curved L ∞-algebras
From MaRDI portal
Publication:4991011
DOI10.1063/5.0041479zbMath1465.81063arXiv2012.02712OpenAlexW3174214429MaRDI QIDQ4991011
Clay James Grewcoe, Larisa Jonke
Publication date: 2 June 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.02712
Model quantum field theories (81T10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Poisson manifolds; Poisson groupoids and algebroids (53D17) Analysis on supermanifolds or graded manifolds (58C50)
Related Items
Topological field theories induced by twisted \(R \)-Poisson structure in any dimension ⋮ Unnamed Item ⋮ Algebroids, AKSZ constructions and doubled geometry ⋮ Four-dimensional noncommutative deformations of U(1) gauge theory and \(L_\infty\) bootstrap.
Cites Work
- Non-associative deformations of geometry in double field theory
- Exploring double field theory
- Cocommutative coalgebras: homotopy theory and Koszul duality
- Homotopy algebras inspired by classical open-closed string field theory
- Courant algebroids and strongly homotopy Lie algebras
- Introduction to sh Lie algebras for physicists
- Manin triples for Lie bialgebroids
- Local BRST cohomology in gauge theories
- Bootstrapping non-commutative gauge theories from \(L_{\infty}\) algebras
- Generalised kinematics for double field theory
- A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetric multivector fields
- A unique connection for Born geometry
- Presymplectic AKSZ formulation of Einstein gravity
- Supergravity as generalised geometry I: type II theories
- Extended Riemannian geometry. I: Local double field theory
- Double field theory and membrane sigma-models
- On the geometry of double field theory
- More on doubled aspects of algebroids in double field theory
- First Class Constrained Systems and Twisting of Courant Algebroids by a Closed 4-Form
- Algebroid structures on para-Hermitian manifolds
- Dirac Manifolds
- Born sigma-models for para-Hermitian manifolds and generalized T-duality
- algebras and field theory
- Courant Sigma Model and ‐algebras