BRS cohomology in string theory: Geometry of Abelization and the quartet mechanism

DOI10.1063/1.528760zbMath0716.53077OpenAlexW2030444144MaRDI QIDQ3203684

Henrik Aratyn

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528760

zbMATH Keywords

homotopy operatorinfinite-dimensional constraint algebrasKugo- Ojima quartetspassage between Abelian and non- Abelian quantitiesstring BRS cohomology

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Model quantum field theories (81T10) Applications of Lie (super)algebras to physics, etc. (17B81) Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of global differential geometry to the sciences (53C80) Cohomology of Lie (super)algebras (17B56)

Related Items (6)

Augmented superfield approach to nilpotent symmetries of the modified version of 2D proca theory ⋮ Cohomological aspects of gauge theories: Superfield formalism. ⋮ Double Hodge theory for a particle on torus ⋮ Twisted \(N=8\), \(D=2\) super-Yang-Mills theory as example of a Hodge-type cohomological theory ⋮ HODGE DUALITY OPERATION AND ITS PHYSICAL APPLICATIONS ON SUPERMANIFOLDS ⋮ BRST COHOMOLOGY AND HODGE DECOMPOSITION THEOREM IN ABELIAN GAUGE THEORY

Cites Work

• General concept of quantization
• Duality theorems in BRST cohomology
• A differential geometric setting for BRS transformations and anomalies. I
• BRST cohomology in classical mechanics
• Abelising the Virasoro operators
• ABELIZED VIRASORO OPERATORS, GEOMETRY AND THE STRING VERTEX OPERATOR

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