The integral theorem for supersymmetric invariants

DOI10.1063/1.528343zbMath0679.58007OpenAlexW2069447099MaRDI QIDQ4729041

Hans F. de Groote, Florian Constantinescu

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528343

zbMATH Keywords

Cauchy's integral formulaunitary Lie supergroupsupersymmetric integral theorem

Mathematics Subject Classification ID

Analysis on supermanifolds or graded manifolds (58C50)

Related Items (11)

The correlated Jacobi and the correlated Cauchy-Lorentz ensembles ⋮ An Itzykson–Zuber-like integral and diffusion for complex ordinary and supermatrices ⋮ Random matrices with row constraints and eigenvalue distributions of graph Laplacians ⋮ Fourier analysis on a hyperbolic supermanifold with constant curvature ⋮ Microscopic spectrum of the QCD Dirac operator in three dimensions ⋮ Dyson’s correlation functions and graded symmetry ⋮ Characteristic functions and invariants of supermatrices ⋮ Integration of Grassmann variables over invariant functions on flat superspaces ⋮ Fourier–Bessel analysis for ordinary and graded 2×2 Hermitian matrices ⋮ Local tail statistics of heavy-tailed random matrix ensembles with unitary invariance ⋮ Asymptotic coincidence of the statistics for degenerate and non-degenerate correlated real Wishart ensembles

Cites Work

• Analyticity of density of states in a gauge-invariant model for disordered electronic systems.
• Elementary construction of graded Lie groups

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