Graded Riemann surfaces and Krichever-Novikov algebras

DOI10.1007/BF01045879zbMath0687.53075MaRDI QIDQ1263108

K. Appert

Publication date: 1990

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

spin structuresuperalgebraKrichever-Novikov algebrasgraded Riemann surfacesBMRR-algebragraded conformal vector fields

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of deformations of analytic structures to the sciences (32G81) Supervarieties (14M30) Supermanifolds and graded manifolds (58A50) Riemann surfaces; Weierstrass points; gap sequences (14H55) Analysis on supermanifolds or graded manifolds (58C50)

Related Items

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case, Extensions of superalgebras of Krichever-Novikov type, Lie superalgebras of Krichever-Novikov type and their central extensions, N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras, Primary currents and Riemannian geometry in W algebras, From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond

Cites Work

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• A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
• Quantum field theory, Grassmannians, and algebraic curves
• Graded Riemann surfaces
• Super Riemann surfaces: Uniformization and Teichmüller theory
• Moduli of super Riemann surfaces
• Geometry of superconformal manifolds