Role of the orthogonal group in construction of osp(1|2n) representations

2013/07/04 by Igor Salom, Salom, Igor
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1307.1452

17 pages

arxiv created 2013/07/04 · arxiv updated 2013/07/05

Abstract

It is well known that the symmetric group has an important role (via Young tableaux formalism) both in labelling of the representations of the unitary group and in construction of the corresponding basis vectors (in the tensor product of the defining representations). We show that orthogonal group has a very similar role in the context of positive energy representations of osp(1|2n,R). In the language of parabose algebra, we essentially solve the long standing problem of reducibility of Green's ansatz representations.

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