A world-line framework for 1D topological conformal σ-models

DOI10.1063/1.4935851zbMath1330.81175arXiv1507.04995OpenAlexW3102308682MaRDI QIDQ3457176

N. L. Holanda, Francesco Toppan, Laurent Baulieu

Publication date: 10 December 2015

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

Full work available at URL: https://arxiv.org/abs/1507.04995

zbMATH Keywords

D-modulesuperconformal algebrasupermultipletpseudo-supersymmetryinvariant action

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Topological field theories in quantum mechanics (81T45) Superalgebras (17A70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (2)

An angular dependent supersymmetric quantum mechanics with a \(\mathbf{Z}_2\)-invariant potential ⋮ Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications

Cites Work

• Unnamed Item
• Superconformal quantum mechanics and the exterior algebra
• On dimensional extension of supersymmetry: from worldlines to worldsheets
• New \(D(2,1;\alpha)\) mechanics with spin variables
• One-dimensional structures behind twisted and untwisted superYang-Mills theory
• Dynamical breaking of supersymmetry
• Classification of irreps and invariants of the \(N\)-extended supersymmetric quantum mechanics
• Twisted superalgebras and cohomologies of the \(N=2\) superconformal quantum mechanics
• Dimensional enhancement via supersymmetry
• Electric-magnetic duality and the geometric Langlands program
• Supersymmetry and Morse theory
• A sketch of Lie superalgebra theory
• Supersymmetry and the cohomology of (hyper) Kähler manifolds
• The topological sigma model
• On the classification of N-extended supersymmetric quantum mechanical systems
• D-module representations of ${\cal N}=2,4,8$N=2,4,8 superconformal algebras and their superconformal mechanics
• Critical scaling dimension of D-module representations of ${\cal N}=4,7,8$N=4,7,8 superconformal algebras and constraints on superconformal mechanics
• CRITICAL D-MODULE REPS FOR FINITE SUPERCONFORMAL ALGEBRAS AND THEIR SUPERCONFORMAL MECHANICS
• The geometry of the one-dimensional supersymmetric non-linear sigma models
• New potentials for conformal mechanics
• Four types of (super)conformal mechanics: D-module reps and invariant actions

This page was built for publication: A world-line framework for 1D topological conformal σ-models