Becchi-Rouet-Stora-Tyutin symmetry, differential geometry, and string field theory

Journal Article · Mon Jun 15 00:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.3878· OSTI ID:6139894

Bars, I; Yankielowicz, S

We introduce a generalized concept of differential geometry in which the usual first-order derivative is replaced by more general operators, for example, the Virasoro operators. These pseudo-derivatives are covariantized by introducing the analogs of spin connections and vierbeins. The resulting field-dependent curvatures and torsions are used to build a ''geometrical'' Becchi-Rouet-Stora-Tyutin (BRST) operator which plays a role analogous to the ''exterior derivative'' in the construction of generalized BRST-invariant gauge field theories. Possible geometrical approaches to string fields and dynamics are suggested and partially explored.

• Research Organization: Physics Department, University of Southern California, Los Angeles, California 90089-0484 and Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
• OSTI ID: 6139894
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 35:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
GAUGE INVARIANCE
GRAVITATION
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
POINCARE GROUPS
QUANTIZATION
QUARK MODEL
SPIN
STRING MODELS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
YANG-MILLS THEORY