Conformal Kac-Moody Blocks on the Torus and Their Monodromies.
Abstract
We focus on two issues of the SU(2) Wess-Zumino -Witten model, namely the computation of the untwisted Conformal Kac-Moody blocks on the torus and their monodromy representations. Using the identification of the irreducible Kac-Moody module with a quotient of Fock modules and the corresponding free field representation of the chiral primary fields, developed by Bernard and Felder in (4), an integral representation of the twisted two point spin 1/2 - spin 1/2 Conformal Kac-Moody blocks on the torus is computed. From this, an integral representation of the untwisted blocks is computed after careful removal of infinities. Finally, the untwisted blocks are used to get a representation of the two string restriction of the Braid Group on the torus, in terms of Quantum Group q-numbers.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1994
- Bibcode:
- 1994PhDT.......255S
- Keywords:
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- Mathematics; Physics: Elementary Particles and High Energy