Hamiltonian formulation of open WZW strings

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 conformal field theory of open WZW strings.

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Titolo: Hamiltonian formulation of open WZW strings
Autori: 
GIUSTO, STEFANO
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Data di pubblicazione: 2001
Rivista: 
INTERNATIONAL JOURNAL OF MODERN PHYSICS A  
Abstract: 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 conformal field theory of open WZW strings.
Handle: http://hdl.handle.net/11567/260316
Appare nelle tipologie:01.01 - Articolo su rivista

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