CURRENT ALGEBRAS AND QP-MANIFOLDS

DOI10.1142/S0219887813500242zbMath1272.53074arXiv1108.0473OpenAlexW2962685890MaRDI QIDQ2845341

K. Koizumi, Noriaki Ikeda

Publication date: 22 August 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0473

zbMATH Keywords

current algebrasDirac structuredifferential graded manifoldsQP-manifolds

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Topological field theories in quantum mechanics (81T45) Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50)

Related Items (4)

Topological membranes, current algebras and H-flux-R-flux duality based on Courant algebroids ⋮ On the relation of Lie algebroids to constrained systems and their BV/BFV formulation ⋮ Brane current algebras and generalised geometry from QP manifolds. Or, ``when they go high, we go low ⋮ Graded generalized geometry

Cites Work

• QP-structures of degree 3 and 4D topological field theory
• \(H\)-twisted Lie algebroids
• Derived brackets
• Algebraic structures on parallel M2 branes
• Dirac structures and Poisson homogeneous spaces
• Geometry of Batalin-Vilkovisky quantization
• Semiclassical approximation in Batalin-Vilkovisky formalism
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Nambu-Dirac structures for Lie algebroids
• AKSZ-BV formalism and courant algebroid-induced topological field theories
• The Geometry of the Master Equation and Topological Quantum Field Theory
• CHERN–SIMONS GAUGE THEORY COUPLED WITH BF THEORY
• Nambu-Dirac manifolds
• On the AKSZ formulation of the Poisson sigma model.

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