Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras

DOI10.1063/1.533067zbMath0964.81059arXivhep-th/9810212OpenAlexW2013655661MaRDI QIDQ4498477

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Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9810212

zbMATH Keywords

Hodge decompositionCasimir-Racah operatorscompact simple algebracorresponding supersymmetry algebrafermionic ghost fieldsghost number operator

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Quantization in field theory; cohomological methods (81T70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Cohomology of Lie (super)algebras (17B56)

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From \(L_{\infty }\)-algebroids to higher Schouten/Poisson structures ⋮ SYMPLECTIC AND ORTHOGONAL LIE ALGEBRA TECHNOLOGY FOR BOSONIC AND FERMIONIC OSCILLATOR MODELS OF INTEGRABLE SYSTEMS ⋮ COMPILATION OF RELATIONS FOR THE ANTISYMMETRIC TENSORS DEFINED BY THE LIE ALGEBRA COCYCLES OF su(n) ⋮ GENERALIZED QUANTUM RELATIVISTIC KINEMATICS: A STABILITY POINT OF VIEW ⋮ Hidden supersymmetries in supersymmetric quantum mechanics ⋮ DEVELOPMENT OF A UNIFIED TENSOR CALCULUS FOR THE EXCEPTIONAL LIE ALGEBRAS ⋮ ON QUANTUM BRST COHOMOLOGY ⋮ BRST and anti-BRST operators for quantum linear algebra \(U_q(\text{gl}(N))\)

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