Character expansion method for supergroups and extended superversions of the Leutwyler–Smilga and Berezin–Karpelevich integrals

DOI10.1063/1.2940572zbMath1152.81526arXiv0801.1226OpenAlexW1992922588MaRDI QIDQ5504967

Yi Wei, Thomas Guhr, Christoph Lehner, Tilo Wettig

Publication date: 23 January 2009

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

Full work available at URL: https://arxiv.org/abs/0801.1226

zbMATH Keywords

character expansion methodsuperversion of Berezin-Karpelevich integralsuperversion of Leutwyler-Smilga integral

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Integration on manifolds; measures on manifolds (58C35) Applications of group representations to physics and other areas of science (20C35) Analysis on supermanifolds or graded manifolds (58C50)

Related Items

Generalised unitary group integrals of Ingham-Siegel and Fisher-Hartwig type ⋮ Unitary integrals and related matrix models ⋮ A power series identity and Bessel-type integrals over unitary groups ⋮ Supermatrix models, loop equations, and duality

Cites Work

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• Universality of correlation functions in random matrix models of QCD
• The microscopic spectral density of the QCD Dirac operator
• Gelfand-Tsetlin coordinates for the unitary supergroup
• Correlation functions in the Itzykson-Zuber model
• Differential Operators on a Semisimple Lie Algebra
• Representations of supergroups
• Dyson’s correlation functions and graded symmetry
• Character expansion for U(N) groups and U(N/M) supergroups
• Dimension and character formulas for Lie supergroups
• Fourier–Bessel analysis for ordinary and graded 2×2 Hermitian matrices
• On the graded group U(1/1)
• Supersymmetry in Disorder and Chaos
• Orthogonality relations and supercharacter formulas of U(m|n) representations
• Supersymmetry for systems with unitary disorder: circular ensembles
• Generalizations of some integrals over the unitary group
• Effective QCD Partition Function in Sectors with Non-Zero Topological Charge and Itzykson-Zuber Type Integral
• The planar approximation. II
• Character expansions for the orthogonal and symplectic groups
• Recursive construction for a class of radial functions. I. Ordinary space
• Recursive construction for a class of radial functions. II. Superspace
• Derivation of the supersymmetric Harish-Chandra integral for UOSp(k1/2k2)
• An Itzykson–Zuber-like integral and diffusion for complex ordinary and supermatrices