Becchi-Rouet-Stora-Tyutin cohomology of compact gauge algebras

Journal Article · Mon Jun 11 04:00:00 EDT 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.64.2863· OSTI ID:6746707

van Holten, J W ^[1]

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1. Sektie Hoge-Energiefysica, Nationaal Instituut voor Kernfysica en Hoge-Energiefysica, P.O. Box 41882, 1009 DB Amsterdam (The Netherlands)

We discuss the Becchi-Rouet-Stora-Tyutin (BRST) cohomology of compact Lie algebras and their infinite extensions in gauge theories. The co-BRST operator is used to construct a BRST-invariant operator {ital W}, the zero modes of which are in one-to-one correspondence with the BRST cohomology. Nontrivial solutions to the BRST cohomology conditions differing only in ghost content are shown to exist. A possible connection with supersymmetric topological quantum theories is observed.

• OSTI ID: 6746707
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 64:24; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CASIMIR OPERATORS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTUM FIELD THEORY
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TOPOLOGY