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Introduction to supersymmetric spin networks

Authors
  • Ling, Yi
Type
Published Article
Publication Date
Sep 03, 2000
Submission Date
Sep 03, 2000
Identifiers
DOI: 10.1063/1.1421423
Source
arXiv
License
Unknown
External links

Abstract

In this paper we give a general introduction to supersymmetric spin networks. Its construction has a direct interpretation in context of the representation theory of the superalgebra. In particular we analyze a special kind of spin networks with superalgebra $Osp(1|2n)$. It turns out that the set of corresponding spin network states forms an orthogonal basis of the Hilbert space $\cal L\mit^2(\cal A\mit/\cal G)$, and this argument holds even in the q-deformed case. The $Osp(n|2)$ spin networks are also discussed briefly. We expect they could provide useful techniques to quantum supergravity and gauge field theories from the point of non-perturbative view.

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