ŝl(2)−1/2 AND THE TRIPLET MODEL

نویسنده

  • DAVID RIDOUT
چکیده

Conformal field theories with ŝl(2)−1/2 symmetry are studied with a view to investigating logarithmic structures. Applying the parafermionic coset construction to the non-logarithmic theory, a part of the structure of the triplet model is uncovered. In particular, the coset theory is shown to admit the triplet W -algebra as a chiral algebra. This motivates the introduction of an augmented ŝl(2)−1/2-theory for which the corresponding coset theory is precisely the triplet model. This augmentation is envisaged to lead to a precise characterisation of the “logarithmic lift” of the non-logarithmic ŝl(2)−1/2-theory that has been proposed by Lesage et al.

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تاریخ انتشار 2010