The Itzykson–Zuber integral for U(m‖n)

DOI10.1063/1.531014zbMath0857.15016arXivhep-th/9412012OpenAlexW2033125675MaRDI QIDQ4873330

Ricardo Medina, Jorge Alfaro, Luis F. Urrutia

Publication date: 5 January 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9412012

zbMATH Keywords

random matricesquantum chromodynamicsGrassmannian manifoldsrandom surfacesItzykson-Zuber integralsuperunitary grouprandom supermatricessuperunitary matrices

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Random matrices (algebraic aspects) (15B52) Exterior algebra, Grassmann algebras (15A75)

Related Items

An Itzykson–Zuber-like integral and diffusion for complex ordinary and supermatrices ⋮ Character expansions for the orthogonal and symplectic groups ⋮ Derivation of the supersymmetric Harish-Chandra integral for UOSp(k1/2k2) ⋮ Coherent state operators, giant gravitons, and gauge-gravity correspondence ⋮ Unitary matrix integral for two-color QCD and the GSE-GUE crossover in random matrix theory ⋮ Random supermatrices with an external source ⋮ Supermatrix models, loop equations, and duality ⋮ Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type

Cites Work

• A method of integration over matrix variables
• On the superdeterminant function for supermatrices
• Comments on supersymmetric vector and matrix models
• The planar approximation. II
• Characteristic functions and invariants of supermatrices