Wavefront sets and polarizations on supermanifolds

DOI10.1063/1.4975213zbMath1361.35008arXiv1512.07823OpenAlexW2196824590MaRDI QIDQ2968450

Heiko Gimperlein, Alexander Schenkel, Claudio Dappiaggi, Simone Murro

Publication date: 13 March 2017

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

Full work available at URL: https://arxiv.org/abs/1512.07823

zbMATH Keywords

pullback theoremsuper-wavefront set for superdistributions

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on curved space or space-time backgrounds (81T20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Analysis on supermanifolds or graded manifolds (58C50) Wave front sets in context of PDEs (35A18)

Cites Work

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• Supergeometry in locally covariant quantum field theory
• The analysis of linear partial differential operators. IV: Fourier integral operators
• On the propagation of polarization sets for systems of real principal type
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• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
• Mathematical foundations of supersymmetry
• Perturbative Construction of Models of Algebraic Quantum Field Theory
• Pseudo-Differential Operators and the Index Theorem on Supermanifolds
• Supersymmetric field-theoretic models on a supermanifold
• Uniformisation et développement asymptotique de la solution du problème de Cauchy linéaire, à données holomorphes ; analogie avec la théorie des ondes asymptotiques et approchées (Problème de Cauchy I bis et VI.)

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