Free field representation for SU(2)k WZNW models on Riemann surfaces

M. Frau, A. Lerda, J. G. McCarthy, S. Sciuto, J. Sidenius

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

We give the extension of the free field representation of SU(2)k WZNW model conformal blocks to an arbitrary Riemann surface. In particular, we avoid the problems associated with the vertex corresponding to the dual of a given representation - namely that it does not transform as the appropriate highest weight field of the current algebra - in a way allowing the sewing procedure to be applied. After analysing the two-point function on the torus as an illustration of some of the subtleties in this free field representation, we go on to give the genus-two characters as an application.

Lingua originaleInglese
pagine (da-a)453-464
Numero di pagine12
RivistaPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume245
Numero di pubblicazione3-4
DOI
Stato di pubblicazionePubblicato - 16 ago 1990
Pubblicato esternamente

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