Representations of the orthosymplectic Lie superalgebra osp(1|4) and paraboson coherent states

TL;DR

This paper introduces multimode paraboson coherent states for the orthosymplectic Lie superalgebra osp(1|4), providing new decompositions of unity, positive measures, and matrix element calculations in the coherent state basis.

Contribution

It presents the first construction of multimode paraboson coherent states for osp(1|4), including their decomposition of unity and positive definite measures.

Findings

Coherent states form a decomposition of unity in certain subspaces

Measures expressed with cat-type states are positive definite

Matrix elements in the coherent state basis are explicitly calculated

Abstract

We introduce and obtain multimode paraboson coherent states. In appropriate subspaces these coherent states provide a decomposition of unity where the measure, when expressed using the cat-type states, is positive definite. Bicoherent states where the mutually commuting lowering operators are diagonalized are also obtained. Matrix elements in the coherent state basis are calculated.