Geometric BV for twisted Courant sigma models and the BRST power finesse

Symplectic geometry, contact geometry (53Dxx) Quantum field theory; related classical field theories (81Txx) Pseudogroups, differentiable groupoids and general structures on manifolds (58Hxx)

Cites Work

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The Pontryagin class for pre-Courant algebroids
Matrix theory origins of non-geometric fluxes
Shifted symplectic structures
Lie algebroid morphisms, Poisson sigma models, and off-shell closed gauge symmetries
Finite-dimensional AKSZ-BV theories
Lie algebroid structures on double vector bundles and representation theory of Lie algebroids
Lie algebroid Yang-Mills with matter fields
Courant algebroids and strongly homotopy Lie algebras
Geometry of Batalin-Vilkovisky quantization
Manin triples for Lie bialgebroids
Local BRST cohomology in gauge theories
A path integral approach to the Kontsevich quantization formula.
Topological membranes, current algebras and H-flux-R-flux duality based on Courant algebroids
Membrane sigma-models and quantization of non-geometric flux backgrounds
WZW-Poisson manifolds
BV quantization of topological open membranes
Deformed graded Poisson structures, generalized geometry and supergravity
Topological field theories induced by twisted \(R \)-Poisson structure in any dimension
Presymplectic AKSZ formulation of Einstein gravity
AKSZ-BV formalism and courant algebroid-induced topological field theories
Double field theory and membrane sigma-models
Pre-Courant algebroids
Transitive Courant algebroids
Sigma models for genuinely non-geometric backgrounds
From BFV to BV and spacetime covariance
BV and BFV for the H-twisted Poisson sigma model
The BV action of 3D twisted R-Poisson sigma models
Modules and representations up to homotopy of Lie \(n\)-algebroids
A NOTE ON THE ANTIBRACKET FORMALISM
The Geometry of the Master Equation and Topological Quantum Field Theory
Canonical functions, differential graded symplectic pairs in supergeometry, and Alexandrov-Kontsevich-Schwartz-Zaboronsky sigma models with boundaries
INTRODUCTION TO SUPERGEOMETRY
Representations up to homotopy of Lie algebroids
First Class Constrained Systems and Twisting of Courant Algebroids by a Closed 4-Form
Lie algebroids and homological vector fields
CHERN–SIMONS GAUGE THEORY COUPLED WITH BF THEORY
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
General Yang–Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical frameworkorFrom Bianchi identities to twisted Courant algebroids
Lie algebroids, gauge theories, and compatible geometrical structures
algebras and field theory
Geometric structures as deformed infinitesimal symmetries
Shifted Symplectic Lie Algebroids
Topological Dirac sigma models and the classical master equation
Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles
Courant Sigma Model and ‐algebras
Notes on the \(L_\infty\)-approach to local gauge field theories
Towards equivariant Yang-Mills theory