Positive Energy Unitary Irreducible Representations of the Superalgebras $osp(1|2n,R)$ and Character Formulae

Abstract

We continue the study of positive energy (lowest weight) unitary irreducible representations of the superalgebras $osp(1|2n,R)$. We update previous results and present the full list of these UIRs. We give also some character formulae for these representations.

27 pages, 2 figures, To appear in the Proceedings of the VIII Mathematical Physics Meeting, (Belgrade, 24-31 August 2014); v2: corrected sign error; arXiv admin note: text overlap in preliminaries with arXiv:hep-th/0402039, Proceedings of the VIII Mathematical Physics Meeting, (Belgrade, 24-31 August 2014) SFIN XXVIII (A1), eds. B. Dragovich et al, Belgrade Inst. Phys. 2013 [ISBN 978-86-82441-43-4], pp. 59-81

References in corpus (2)

• W Symmetry in six dimensions
• Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid

Cited by in corpus (4)

• Fischer decomposition for spinor valued polynomials in several variables
• Representations of the Lie Superalgebra $\mathfrak{osp}(1|2n)$ with Polynomial Bases
• Bases for infinite dimensional simple $\mathfrak{osp}(1|2n)$-modules respecting the branching $\mathfrak{osp}(1|2n)\supset \mathfrak{gl}(n)$
• Positive Energy Unitary Irreducible Representations of the Superalgebra osp(1|8,R)