Chirality, a new key for the definition of the connection and curvature of a Lie-Kac superalgebra

DOI10.1007/JHEP01(2021)111zbMath1459.81052arXiv2003.12234OpenAlexW3187571058MaRDI QIDQ2024268

Jean Thierry-Mieg

Publication date: 3 May 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12234

zbMATH Keywords

non-commutative geometrydifferential and algebraic geometryChern-Simons theories

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Methods of noncommutative geometry in general relativity (83C65) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (2)

SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions ⋮ Indecomposable doubling for representations of the type I Lie superalgebras sl(m/n) and osp(2/2n)

Cites Work

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• Supersymmetric Wilson loops via integral forms
• Superconnections and parallel transport
• Superconnections and the Chern character
• Superconnections, Thom classes, and equivariant differential forms
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Noncommutative differential geometry of matrix algebras
• Exterior gauging of an internal supersymmetry and SU (2/1) quantum asthenodynamics
• Theory of Connections on Graded Principal Bundles
• Superconnections and internal supersymmetry dynamics.
• Lie superalgebras
• Particle models and noncommutative geometry

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