Journal ArticleDOI
Neveu-Schwarz- and Ramond-type superalgebras on genus-g Riemann surfaces
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In this article, the authors extend the work of Krichever and Novikov on Virasoro type algebras by constructing Neveu-Schwarz and Ramond type superalgeses on genus-g Riemann surfaces.About:
This article is published in Physics Letters B.The article was published on 1988-05-26. It has received 42 citations till now. The article focuses on the topics: Riemann surface & Genus (mathematics).read more
Citations
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Krichever-novikov Algebras for More Than Two Points
TL;DR: In this article, Krichever-Novikov algebras of meromorphic vector fields with more than two poles on higher genus Riemann surfaces are introduced.
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A Global Operator Formalism on Higher Genus Riemann Surfaces: b — c Systems
TL;DR: In this paper, the authors explicitly construct bases for meromorphicλ-differentials over genusg Riemann surfaces, and with the help of these bases they introduce a new operator formalism over RiemANNs which closely resembles the operator formalisms on the sphere.
Journal ArticleDOI
The Sugawara construction on genus-g Riemann surfaces
TL;DR: In this article, the Sugawara construction for a Kac-Moody algebra defined over a generic Riemann surface was carried out using the formalism developed by Krichever and Novikov.
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Krichever-Novikov-like bases on punctured Riemann surfaces
TL;DR: Bases of holomorphic λ-differentials on N-punctured Riemann surfaces of arbitrary genus are constructed in this article, and the resulting extension of the Virasoro algebra on Npunctored spheres is displayed explicitly.
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Super)conformal algebra on the (super)torus
TL;DR: In this article, the superconformal algebra of the supertorus is constructed explicitly, which yields supersymmetric generalizations of the genus-one Virasoro algebra.
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Virasoro-type algebras and BRST operators on Riemann surfaces
TL;DR: In this paper, the authors use the Virasoro-type algebras to define a BRST charge on Riemann surfaces of genus g and discuss the quantum extension of this operator.
Related Papers (5)
Algebras of virasoro type, riemann surfaces and structures of the theory of solitons
Igor Krichever,S. P. Novikov +1 more