\(L_{\infty}\) algebras for extended geometry from Borcherds superalgebras
From MaRDI portal
Publication:2422492
DOI10.1007/s00220-019-03451-2zbMath1478.17030arXiv1804.04377OpenAlexW3103827753MaRDI QIDQ2422492
Martin Cederwall, Jakob Palmkvist
Publication date: 19 June 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.04377
Applications of Lie (super)algebras to physics, etc. (17B81) Quantum field theory; related classical field theories (81T99)
Related Items
Nonlinear realizations of Lie superalgebras, Pre‐NQ Manifolds and Correspondence Spaces: the Nilmanifold Example, Higher Gauge Structures in Double and Exceptional Field Theory, Tensor hierarchy algebras and extended geometry. I: Construction of the algebra, Tensor hierarchy algebras and extended geometry. II: Gauge structure and dynamics, $E_9$ exceptional field theory. I: The potential, The teleparallel complex, Extended geometry of magical supergravities, On exceptional QP-manifolds, A study on free roots of Borcherds-Kac-Moody Lie superalgebras, Infinity-enhancing of Leibniz algebras, On the existence of an L\(\infty\) structure for the super-Virasoro algebra, \(L_{\infty}\) algebras and tensor hierarchies in exceptional field theory and gauged supergravity, Towards an extended/higher correspondence. Generalised geometry, bundle gerbes and global double field theory, Tensor hierarchies and Leibniz algebras, Leibniz-Chern-Simons theory and phases of exceptional field theory, The \(L_{\infty}\)-algebra of the S-matrix, Tensor hierarchy algebra extensions of over-extended Kac-Moody algebras, Brane current algebras and generalised geometry from QP manifolds. Or, ``when they go high, we go low, On the \(L_\infty\) formulation of Chern-Simons theories, Teleparallelism in the algebraic approach to extended geometry
Cites Work
- Unnamed Item
- Unnamed Item
- \({E_d}_{(d)}\times \mathbb{R}^{+}\) generalised geometry, connections and M theory
- Global aspects of double geometry
- The geometry behind double geometry
- U-geometry: \(\mathrm{SL}(5)\)
- Extended geometry and gauged maximal supergravity
- Comments on double field theory and diffeomorphisms
- Leibniz algebroids, twistings and exceptional generalized geometry
- \(M\)-theory, exceptional generalised geometry and superpotentials
- Generalized geometry and M theory
- The derived Maurer-Cartan locus
- Beyond \(E_{11}\)
- Exceptional geometry and tensor fields
- Non-gravitational exceptional supermultiplets
- U-duality covariant gravity
- Courant algebroids and strongly homotopy Lie algebras
- Introduction to sh Lie algebras for physicists
- Double supergeometry
- Extended geometries
- Background independent action for double field theory
- Generalized metric formulation of double field theory
- Stringy unification of type IIA and IIB supergravities under \(\mathcal N=2D=10\) supersymmetric double field theory
- Extended Riemannian geometry. I: Local double field theory
- \(E_{8}\) geometry
- Generalized Cartan calculus in general dimension
- Superalgebras, constraints and partition functions
- Exceptional geometry and Borcherds superalgebras
- Non-commutative Batalin-Vilkovisky algebras, homotopy Lie algebras and the Courant bracket
- T-duality and non-geometric solutions from double geometry
- Lectures on generalized geometry
- Generators and relations for Lie superalgebras of Cartan type
- algebras and field theory
- The tensor hierarchy algebra
- Lie superalgebras