Becchi-Rouet-Stora-Tyutin symmetry, differential geometry, and string field theory
- 15 June 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 35 (12) , 3878-3889
- https://doi.org/10.1103/physrevd.35.3878
Abstract
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.Keywords
This publication has 18 references indexed in Scilit:
- Gauge invariance of string fieldsNuclear Physics B, 1986
- Covariant string field theoryPhysical Review D, 1986
- All free string theories are theories of formsNuclear Physics B, 1986
- Non-commutative geometry and string field theoryNuclear Physics B, 1986
- New symmetries and ghost structure of covariant string theoriesPhysics Letters B, 1986
- Gauge string fieldsNuclear Physics B, 1986
- Gauge Invariant Local Action of String Field from BRS FormalismProgress of Theoretical Physics, 1986
- Covariantly second-quantized string IIIPhysics Letters B, 1985
- Covariantly second-quantized string IIPhysics Letters B, 1985
- Covariant quantization of the string in dimensionsusing a Becchi-Rouet-Stora formulationPhysical Review D, 1983