A Kähler structure of the triplectic geometry

DOI10.1007/BF02550995zbMath1036.53051arXivhep-th/9807023MaRDI QIDQ5941976

A. M. Semikhatov, M. A. Grigoriev

Publication date: 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9807023

zbMATH Keywords

polarizationsKähler manifoldssupersymmetric Poisson bracketstriplectic quantization

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of global differential geometry to the sciences (53C80) Supermanifolds and graded manifolds (58A50)

Related Items (6)

FEDOSOV SUPERMANIFOLDS II: NORMAL COORDINATES ⋮ Poisson structures in BRST-antiBRST invariant Lagrangian formalism ⋮ Becchi–Rouet–Stora–Tyutin formalism and zero locus reduction ⋮ MODIFIED TRIPLECTIC QUANTIZATION IN GENERAL COORDINATES ⋮ Kähler geometry and SUSY mechanics ⋮ A triplectic bi-Darboux theorem and para-hypercomplex geometry

Cites Work

• Deformation theory and quantization. I: Deformations of symplectic structures
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• Developing the covariant Batalin-Vilkovisky approach to string theory
• Semiclassical approximation in Batalin-Vilkovisky formalism
• Triplectic quantization: A geometrically covariant description of the \(\text{Sp}(2)\)-symmetric Lagrangian formalism
• General triplectic quantization
• Background independent algebraic structures in closed string field theory
• THE BRST AND ANTI-BRST INVARIANT QUANTIZATION OF GENERAL GAUGE THEORIES
• ON POSSIBLE GENERALIZATIONS OF FIELD-ANTIFIELD FORMALISM
• Covariant quantization of gauge theories in the framework of extended BRST symmetry
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures

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