BV actions for extended geometry

2025/04/29 by Cederwall, Martin
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2504.20873

Abstract

I review the construction of actions for extended geometry from the grading of an underlying tensor hierarchy algebra, which provides the full set of Batalin-Vilkovisky fields. The dynamics is neatly encoded in a complex. This talk, presented at the Corfu Summer Institute 2024, is mainly based on joint work with J. Palmkvist, in particular ref. [1].

Citations

• Gradient structures from extensions of over-extended Kac-Moody algebras
• Teleparallel Geroch geometry
• Cartanification of contragredient Lie superalgebras
• A homotopy BV algebra for Yang-Mills and color-kinematics
• T-duality and non-geometric solutions from double geometry
• The geometry behind double geometry
• Global aspects of double geometry
• Exceptional Field Theory II: E₇₍₇₎
• Exceptional Field Theory I: E₆₍₆₎ covariant Form of M-Theory and Type IIB
• M-theory and Type IIB from a Duality Manifest Action
• The tensor hierarchy algebra
• Non-gravitational exceptional supermultiplets
• Exceptional geometry and tensor fields
• Extended geometry and gauged maximal supergravity
• U-geometry : SL(5)
• The gauge structure of generalised diffeomorphisms
• SO(5,5) duality in M-theory and generalized geometry
• Generalized Geometry and M theory
• Generalized metric formulation of double field theory
• Background independent action for double field theory
• Conformal Field Theory and Algebraic Structure of Gauge Theory
• M-theory, exceptional generalised geometry and superpotentials
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Gradient representations and affine structures in AE n
• A Geometry for Non-Geometric String Backgrounds
• Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models
• Unity of superstring dualities
• Manifest Duality in Low-Energy Superstrings
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• Oscillatory approach to a singular point in the relativistic cosmology

Related

• Operadic Calculus for Higher Colour-Kinematics Duality
• Towards non-perturbative BV-theory via derived differential geometry
• Derived Symplectic Reduction and L-Equivariant Geometry
• Exponential actions defined by vector configurations, Gale duality, and moment-angle manifolds
• A homotopy BV algebra for Yang-Mills and color-kinematics