Quantum BRST charge for quadratically nonlinear Lie algebras

DOI10.1007/BF01218470zbMath0695.17005OpenAlexW2108818621MaRDI QIDQ909769

Alexander Sevrin, Peter van Nieuwenhuizen, Kareljan Schoutens

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01218470

zbMATH Keywords

quantum algebrasconformal field theoriesnilpotent BRST chargeextensions of the Virasoro algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Quantum field theory; related classical field theories (81T99)

Related Items (24)

Quartet unconstrained formulation for massless higher spin fields ⋮ HAMILTONIAN COHOMOLOGICAL DERIVATION OF FOUR-DIMENSIONAL NONLINEAR GAUGE THEORIES ⋮ Classical solutions to a quadratically nonlinear gauge theory ⋮ Semi-infinite cohomology and the linkage principle for \(\mathcal{W}\)-algebras ⋮ Becchi–Rouet–Stora–Tyutin structure of polynomial Poisson algebras ⋮ Strange attractors in dissipative Nambu mechanics: classical and quantum aspects ⋮ Strings from \(N=2\) gauged Wess-Zumino-Witten models ⋮ Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space ⋮ Indecomposable representations and boson realizations of the nonlinear deformed angular momentum algebra of Witten's first type ⋮ Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization ⋮ NOTE ON TWO-DIMENSIONAL NONLINEAR GAUGE THEORIES ⋮ Boson realization of nonlinear \(\text{SO}(3)\) algebra. ⋮ Induced and effective gravity theories in \(D=2\). ⋮ A BRST analysis of \(W\)-symmetries ⋮ The BRST quantization of the nonlinear \(WB_2\) and \(W_4\) algebras ⋮ Classical Becchi-Rouet-Stora-Tyutin charge for nonlinear algebras ⋮ The involutive system of higher-spin equations ⋮ BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space ⋮ Indecomposable representations of the nonlinear Lie algebras ⋮ Boson and differential realizations of polynomial angular momentum algebra ⋮ BRST STRUCTURE OF NONLINEAR SUPERALGEBRAS ⋮ INDUCED QUANTUM GRAVITY ON A RIEMANN SURFACE ⋮ Becchi-Rouet-Stora-Tyutin operators for W algebras ⋮ ON MANIFOLDS ADMITTING THE CONSISTENT LAGRANGIAN FORMULATION FOR HIGHER SPIN FIELDS

Cites Work

• Unnamed Item
• An approach to BRST formulation of Kac-Moody algebra
• Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
• Modular invariance and the fusion algebra

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