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Algebra i Analiz, 1994, Volume 6, Issue 3, Pages 107–117 (Mi aa454)  

Research Papers

$SU(2)$ WZNW model at higher genera from the gauge field functional integral

K. Gawędzki

Institut des Hautes Études Scientifiques

Abstract: 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.

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English version:
St. Petersburg Mathematical Journal, 1995, 6:3, 541–551

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Citation: K. Gawȩdzki, “$SU(2)$ WZNW model at higher genera from the gauge field functional integral”, Algebra i Analiz, 6:3 (1994), 107–117; St. Petersburg Math. J., 6:3 (1995), 541–551

Citation in format AMSBIB
\Bibitem{Gaw94}
\by K.~Gaw{\c e}dzki
\paper $SU(2)$~WZNW model at higher genera from the gauge field functional integral
\jour Algebra i Analiz
\yr 1994
\vol 6
\issue 3
\pages 107--117
\mathnet{http://mi.mathnet.ru/aa454}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1301833}
\zmath{https://zbmath.org/?q=an:0839.58030|0821.58021}
\transl
\jour St. Petersburg Math. J.
\yr 1995
\vol 6
\issue 3
\pages 541--551


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