The orthogonality relations for the supergroup $U(m|n)$
Jorge Alfaro, Ricardo Medina (Pontificia Universidad Cat\'olica de, Chile), Luis F. Urrutia (Universidad Aut\'onoma Metropolitana-I, M\'exico)
TL;DR
This paper extends the Itzykson-Zuber integral to the supergroup U(m|n) and derives the orthogonality relations, providing foundational mathematical tools for supergroup analysis.
Contribution
It introduces the orthogonality relations for the supergroup U(m|n) based on a generalized Itzykson-Zuber integral, advancing supergroup representation theory.
Findings
Derived orthogonality relations for U(m|n) supergroup.
Extended the Itzykson-Zuber integral to supergroups.
Provided mathematical foundation for supergroup analysis.
Abstract
Starting from the generalization of the Itzykson-Zuber integral for we determine the orthogonality relations for this supergroup.
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