A BASIC CLASS OF TWISTED OPEN WZW STRINGS

Author:

HALPERN M. B.1,HELFGOTT C.1

Affiliation:

1. Department of Physics, University of California and Theoretical Physics Group, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720, USA

Abstract

Recently, Giusto and Halpern reported the open-string description of a certain basic class of untwisted open WZW strings, including their associated noncommutative geometry and open-string KZ equations. In this paper, we combine this development with results from the theory of current-algebraic orbifolds to find the open-string description of a corresponding basic class of twisted open WZW strings, which begin and end on different WZW branes. The basic class of twisted open WZW strings is in 1-to-1 correspondence with the twisted sectors of all closed-string WZW orbifolds, and moreover, the basic class can be decomposed into a large collection of open-string WZW orbifolds. At the classical level, these open-string orbifolds exhibit new twisted noncommutative geometries, and we also find the relevant twisted open-string KZ equations which describe these orbifolds at the quantum level. In a related development, we also formulate the closed-string description (in terms of twisted boundary states) of the general twisted open WZW string.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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