TY - JOUR
T1 - Free field representation for SU(2)k WZNW models on Riemann surfaces
AU - Frau, M.
AU - Lerda, A.
AU - McCarthy, J. G.
AU - Sciuto, S.
AU - Sidenius, J.
N1 - Funding Information:
The BRST formulation of the ~(~k WZNW model follows almost precisely that of the Vir minimal models and defines a systematic projection by which irreducible representations are obtained from appropriate free field Fock spaces. Each such Fock space has a "dual" with respect to which we may define an inner product. For the Vir minimal models both the Fock space and its dual project under BRST to the same irreducible Work partially supported by the US Department of Energy, under grant DE-AC02-76ER03069. 2 Work partially supported by the National Science Foundation, under grant PHY-88-04561.
PY - 1990/8/16
Y1 - 1990/8/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0040817488&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(90)90673-T
DO - 10.1016/0370-2693(90)90673-T
M3 - Article
SN - 0370-2693
VL - 245
SP - 453
EP - 464
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -