Quantum Matrix Models for Simple Current Orbifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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31 pages, LaTeX; typos corrected, new elements added, the contents restructured

Scientific paper

10.1016/j.nuclphysb.2005.01.023

An algebraic formulation of the stringy geometry on simple current orbifolds of the WZW models of type A_N is developed within the framework of Reflection Equation Algebras, REA_q(A_N). It is demonstrated that REA_q(A_N) has the same set of outer automorphisms as the corresponding current algebra A^{(1)}_N which is crucial for the orbifold construction. The CFT monodromy charge is naturally identified within the algebraic framework. The ensuing orbifold matrix models are shown to yield results on brane tensions and the algebra of functions in agreement with the exact BCFT data.

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