On the semigroup nature of superconformal symmetry

DOI10.1063/1.529038zbMath0747.58057OpenAlexW1981414556MaRDI QIDQ3987390

Steven Duplij

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529038

zbMATH Keywords

transformationsconformal invariancesupersymmetrymetricsmathematical spaceconformal groupsPoincaré groups

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of global analysis to the sciences (58Z05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (9)

Regular obstructed categories and topological quantum field theory ⋮ Ideal structure for superconformal semigroups ⋮ On an alternative supermatrix reduction ⋮ UNIFORMITY OF SPATIAL PHYSICAL MOTION SYSTEMS AND SPATIAL CHAOS BEHAVIOR IN THE SENSE OF LI–YORKE ⋮ Noninvertible N=1 superanalog of complex structure ⋮ Some abstract properties of semigroups appearing in superconformal theories ⋮ Differential calculus for \(q\)-deformed twistors ⋮ On supermatrix idempotent operator semigroups ⋮ Odd connections on supermanifolds: existence and relation with affine connections

Cites Work

• Semigroups generated by nilpotent transformations
• Superconformal current algebras and their unitary representations
• Graded manifolds, supermanifolds and infinite-dimensional Grassmann algebras
• Supertori are algebraic curves
• Super Riemann surfaces: Uniformization and Teichmüller theory
• Moduli of super Riemann surfaces
• The geometry of super Riemann surfaces
• Line bundles on super Riemann surfaces
• Geometry of superconformal manifolds
• SUPERCONFORMAL SYMMETRY AND SUPERSTRING COMPACTIFICATION
• On the body of supermanifolds
• Enlargeable graded Lie algebras of supersymmetry
• Discrete supergroups and super Riemann surfaces
• A global theory of supermanifolds

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