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

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

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35.3878b&link_type=abstract

Physical Review D (Particles and Fields), Volume 35, Issue 12, 15 June 1987, pp.3878-3889

Mathematics

Differential Geometry

24

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Lagrangian And Hamiltonian Approach

Scientific paper

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.

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