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G-Topological quantum field theory

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Abstract

In this expository paper, we give an explicit construction of an isomorphism between the category of homotopical quantum field theories with an underlying Eilenberg–MacLane space K(G, 1) and the category of G-topological quantum field theories, where G is a finite group. Additionally, in dimension two, we show that there is a monoidal equivalence between the category of G-topological quantum field theories and the category of G-Frobenius algebras.

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Authors and Affiliations

  1. Instituto de Matemática y Estadística, Facultad de Ingeniería, Montevideo, Uruguay

    Ana González

  2. Instituto de Matemáticas, UNAM-Oaxaca, Oaxaca, Mexico

    Carlos Segovia

Authors
  1. Ana González
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  2. Carlos Segovia
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Corresponding author

Correspondence to Carlos Segovia.

Additional information

This paper is dedicated to the memory of our Professor Samuel Gitler, who is an inexhaustible source of inspiration and enthusiasm.

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González, A., Segovia, C. G-Topological quantum field theory. Bol. Soc. Mat. Mex. 23, 439–456 (2017). https://doi.org/10.1007/s40590-016-0125-7

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  • DOI: https://doi.org/10.1007/s40590-016-0125-7

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