Hamiltonian Formulation of Open WZW Strings

Details Hamiltonian Formulation of Open WZW Strings Hamiltonian Formulation of Open WZW Strings

2001-01-31

arxiv.org/abs/hep-th/0101220v6

Int.J.Mod.Phys. A16 (2001) 3237-3272

Physics

High Energy Physics

High Energy Physics - Theory

34 pages. Added an equation in Appendix C; some typos corrected. Footnote b changed. Version to appear on IJMPA

Scientific paper

10.1142/S0217751X0100427X

Using a Hamiltonian approach, we construct the classical and quantum theory of open WZW strings on a strip. (These are the strings which end on WZW branes.) The development involves non-abelian generalized Dirichlet images in an essential way. At the classical level, we find a new non-commutative geometry in which the equal-time coordinate brackets are non-zero at the world-sheet boundary, and the result is an intrinsically non-abelian effect which vanishes in the abelian limit. Using the classical theory as a guide to the quantum theory, we also find the operator algebra and the analogue of the Knizhnik-Zamolodchikov equations for the the conformal field theory of open WZW strings.

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