RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Algebra i Analiz: Year: Volume: Issue: Page: Find

 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.

Full text: PDF file (1058 kB)

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

Bibliographic databases:

Language:

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