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Spin Models, TQFTs and Their Hierarchical Structure

  • G. Carbone
  • M. Carfora
  • A. Marzuoli
Conference paper

Abstract

State sum models based on the recoupling theory of SU(2) angular momenta can be defined in any dimension d, and the corresponding hierarchy includes the Ponzano-Regge model in d = 3 and the Crane-Yetter invariant in d = 4. Here we establish an equivalence between each of these spin models and a corresponding B F theory by exploiting suitable d-dimensional generalizations of the Ooguri’s approach in d = 3.

Keywords

Partition Function Flat Connection Auxiliary Surface Topological Quantum Field Theory Contractible Loop 
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Copyright information

© Springer-Verlag Italia 2002

Authors and Affiliations

  1. 1.S.I.S.S.A.TriesteItaly
  2. 2.Ecole Normale Supérieure de Lyon, Laboratoire de PhysiqueLyon, Cedex 07France
  3. 3.Dipartimento di Fisica Nucleare e Teorica, Università degli Studi di Pavia, and Istituto Nazionale di Fisica Nucleare, Sezione di PaviaPaviaItaly

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