Liouville and Toda field theories on Riemann surfaces
نویسندگان
چکیده
منابع مشابه
Liouville and Toda field theories on Riemann surfaces
We study the Liouville theory on a Riemann surface of genus g by means of their associated Drinfeld–Sokolov linear systems. We discuss the cohomological properties of the monodromies of these systems. We identify the space of solutions of the equations of motion which are single–valued and local and explicitly represent them in terms of Krichever–Novikov oscillators. Then we discuss the operato...
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Dedicated to Professor Ding Weiyue on the occasion of his 60’s birthday.
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A simple, basic, argument is given, based solely on energy-momentum considerations to recover conditions under which ar affine or conformal Toda field theories can support defects of integrable type. Associated triangle relations are solved to provide expressions for transmission matrices that generalize previously known examples calculated for the sine-Gordon model and the a2 affine Toda model...
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Inspired by Polyakov’s original formulation [1, 2] of quantum Liouville theory through functional integral, we analyze perturbation expansion around a classical solution. We show the validity of conformal Ward identities for puncture operators and prove that their conformal dimension is given by the classical expression. We also prove that total quantum correction to the central charge of Liouv...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 1994
ISSN: 0393-0440
DOI: 10.1016/0393-0440(94)90054-x