Loop Groups, Grassmanians and String Theory
Feb, 198714 pages
Published in:
- Phys.Lett.B 190 (1987) 55
Report number:
- CERN-TH-4641/87
Citations per year
Abstract: (Elsevier)
The theory of representations of loop groups provides a framework where one can consider Riemann surfaces with arbitrary numbers of handles and nodes on the same footing. Using infinite grassmanians we present a general formulation of some conformal field theories on arbitrary surfaces in terms of an operator formalism. As a by-product, one can obtain some general results for the chiral bosonization of fermions using the vertex operator representation of finite dimensional groups. We believe that this set-up provides the natural arena where the recent proposal of Friedan and Shenker of formulating string theory in the universal moduli space can be discussed.- MODEL: STRING
- GROUP THEORY: GEOMETRICAL
- GROUP THEORY: REPRESENTATION
- FIELD THEORY: SPACE-TIME
- FIELD THEORY: CONFORMAL
- FIELD THEORY: BOSONIZATION
- VERTEX FUNCTION
- MATHEMATICAL METHODS
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