Notes on the \(L_\infty\)-approach to local gauge field theories
From MaRDI portal
Publication:6107812
DOI10.1016/j.geomphys.2023.104863zbMath1525.53089arXiv2303.08990OpenAlexW4376865858MaRDI QIDQ6107812
Dmitry Rudinsky, Maxim Grigoriev
Publication date: 3 July 2023
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.08990
Geometric quantization (53D50) More general nonquantum field theories in mechanics of particles and systems (70S20) Symplectic field theory; contact homology (53D42)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elimination of the auxiliary fields in the antifield formalism
- Local BRST cohomology in (non-)Lagrangian field theory
- First order parent formulation for generic gauge field theories
- Geometry of jet spaces and integrable systems
- Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
- From Poisson algebras to Gerstenhaber algebras
- Derived brackets
- Parent field theory and unfolding in BRST first-quantized terms
- Manifestly conformal descriptions and higher symmetries of bosonic singletons
- Remarks on Chern-Simons invariants
- Quantum field theory as effective BV theory from Chern-Simons
- \(Q\)-algebroids and their cohomology
- Superconnections and the Chern character
- Geometry of nonlinear differential equations
- Infinitesimal computations in topology
- The \(sh\) Lie structure of Poisson brackets in field theory
- Local BRST cohomology and covariance
- Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
- Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications
- Introduction to sh Lie algebras for physicists
- A simple geometrical construction of deformation quantization
- Local BRST cohomology in gauge theories
- Unified formulation for helicity and continuous spin fermionic fields
- Parent formulations, frame-like Lagrangians, and generalized auxiliary fields
- Deformation quantization of Poisson manifolds
- Local BRST cohomology in Einstein-Yang-Mills theory
- Massless Poincaré modules and gauge invariant equations
- The Atiyah class of a dg-vector bundle
- Presymplectic structures and intrinsic Lagrangians for massive fields
- Dg manifolds, formal exponential maps and homotopy Lie algebras
- Presymplectic AKSZ formulation of Einstein gravity
- The \(L_{\infty}\)-algebra of the S-matrix
- Higher-order singletons, partially massless fields, and their boundary values in the ambient approach
- Path-integral equivalence between the extended and nonextended Hamiltonian formalisms
- Higher derived brackets and homotopy algebras
- BV equivalence with boundary
- The first-order formalism for Yang–Mills theory
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Becchi–Rouet–Stora–Tyutin formalism and zero locus reduction
- On a non-Abelian Poincaré lemma
- Frame-like Lagrangians and presymplectic AKSZ-type sigma models
- On conformal higher spins in curved background
- BATALIN–VILKOVISKY YANG–MILLS THEORY AS A HOMOTOPY CHERN–SIMONS THEORY VIA STRING FIELD THEORY
- NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS
- ON THE HOMOLOGY THEORY OF FIBRE SPACES
- Superconnections and the Higgs field
- Strongly homotopy lie algebras
- Algebraic Structure of String Field Theory
- L ∞ -algebras of Einstein–Cartan–Palatini gravity
- Characteristic classes associated to Q-bundles
- algebras and field theory
- Homotopy Associativity of H-Spaces. I
- Superconnections and internal supersymmetry dynamics.
- General quantum antibrackets
- Gauge PDE and AKSZ‐type Sigma Models
- Graded Geometry, Q‐Manifolds, and Microformal Geometry
- ‐Algebras, the BV Formalism, and Classical Fields
- Homotopy Transfer and Effective Field Theory I: Tree‐level
- L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism
- Covariant action for conformal higher spin gravity
