The operator algebra and twisted KZ equations of WZW orbifolds
نویسندگان
چکیده
منابع مشابه
The Operator Algebra and Twisted KZ Equations of WZW Orbifolds
We obtain the operator algebra of each twisted sector of all WZW orbifolds, including the general twisted current algebra and the algebra of the twisted currents with the twisted affine primary fields. Surprisingly, the twisted right and left mover current algebras are not a priori copies of each other. Using the operator algebra we also derive world-sheet differential equations for the twisted...
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Recently the operator algebra, including the twisted affine primary fields, and a set of twisted KZ equations were given for the WZW permutation orbifolds. In the first part of this paper we extend this operator algebra to include the so-called orbifold Virasoro algebra of each WZW permutation orbifold. These algebras generalize the orbifold Virasoro algebras (twisted Virasoro operators) found ...
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Including world-sheet orientation-reversing automorphisms ĥσ ∈ H− in the orbifold program, we construct the operator algebras and twisted KZ systems of the general WZW orientation orbifold Ag(H−)/H−. We find that the orientation-orbifold sectors corresponding to each ĥσ ∈ H− are twisted open WZW strings, whose properties are quite distinct from conventional open-string orientifold sectors. As s...
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Recently, Giusto and Halpern reported the open-string description of a certain basic class of untwisted open WZW strings, including their associated non-commutative 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 str...
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We propose a geometrical interpretation for the discrete torsion appearing in the algebraic formulation of quotients of WZW models by discrete abelian subgroups. Part of the discrete torsion corresponds to the choice of action of the subgroup, yielding different quotient spaces. Another part corresponds to the set of different choices of connection for the H field in each of these spaces. The f...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2001
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2001/10/011