$SU(2)$ WZNW model at higher genera from the gauge field functional integral
Algebra i analiz, Tome 6 (1994) no. 3, pp. 107-117
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We compute the gauge field functional integral giving the scalar product of the $SU(2)$ Chern–Simons theory states on a Riemann surface of genus $>1$. The result allows us to express the higher genera partition functions of the $SU(2)$ WZNW conformal field theory by explicit finite-dimensional integrals. Our calculation may also shed new light on the functional integral of the Liouville theory.
@article{AA_1994_6_3_a6,
author = {K. Gaw\c{e}dzki},
title = {$SU(2)${~WZNW} model at higher genera from the gauge field functional integral},
journal = {Algebra i analiz},
pages = {107--117},
year = {1994},
volume = {6},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AA_1994_6_3_a6/}
}
K. Gawȩdzki. $SU(2)$ WZNW model at higher genera from the gauge field functional integral. Algebra i analiz, Tome 6 (1994) no. 3, pp. 107-117. http://geodesic.mathdoc.fr/item/AA_1994_6_3_a6/