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Ferretti-Rajeev term and homotopy theory

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Abstract

We reduce Ferretti-Rajeev models to the usual sigma models with Chern-Simons terms (ϑ-terms), and show that whether ϑ is quantized or not corresponds to the fact π4(G j,n )≅π3(U(j))=ℤ or 0 of the topology in the process of our reduction. We also reconsider the topological invariance of the Chern classes in the language of the field theory.

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Authors and Affiliations

  1. Department of Mathematics, Yokohama City University, 236, Yokohama, Japan

    Kazuyuki Fujii

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  1. Kazuyuki Fujii
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Communicated by R.H. Dijkgraaf

Partially supported by the Grant-in-Aid for Scientific Research, No. 04640088

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Fujii, K. Ferretti-Rajeev term and homotopy theory. Commun.Math. Phys. 162, 273–287 (1994). https://doi.org/10.1007/BF02102018

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  • DOI: https://doi.org/10.1007/BF02102018

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