Super Riemann Surfaces and the Super Conformal Action Functional

DOI10.1007/978-3-319-26902-3_17zbMath1336.81046arXiv1511.05001OpenAlexW2178758413MaRDI QIDQ2800043

Enno Keßler

Publication date: 14 April 2016

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

Full work available at URL: https://arxiv.org/abs/1511.05001

zbMATH Keywords

supersymmetrysupergeometrysuper Riemann surfacesnon-linear super symmetric sigma model

Mathematics Subject Classification ID

Model quantum field theories (81T10) String and superstring theories in gravitational theory (83E30) Supergravity (83E50) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Supermanifolds and graded manifolds (58A50) Harmonic functions on Riemann surfaces (30F15) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60) Polynomial solutions to PDEs (35C11)

Related Items (1)

From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory: at the interface of theoretical physics, Riemannian geometry, and nonlinear analysis

Cites Work

• Torsion constraints in supergeometry
• Critical dimensions of the string theories and the dualizing sheaf on the moduli space of (super) curves
• Super Riemann surfaces: Uniformization and Teichmüller theory
• Moduli of super Riemann surfaces
• The geometry of super Riemann surfaces
• Mathematical foundations of supersymmetry
• A global theory of supermanifolds
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS

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