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Bulk fields localization on thick string-like brane in f(T) gravity

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Abstract

This paper aims to investigate the influence of torsion on bulk fields in the codimension two thick brane in f(T) modified teleparallel gravity. It is shown that the brane supports the localization of gauge field zero mode without an extra coupling. However, Kalb–Ramond and fermionic fields require a suitable coupling. Then, it is proposed a geometrical coupling based on results in 5D thick brane in modified teleparallel gravities. The Kalb–Ramond field is coupled to torsion scalar T through a gauge-invariant interaction. For the case of fermionic fields, we study the Dirac fermions and gravitino with a derivative geometrical coupling. For all of the fields, it obtained massive and resonant modes by employing the Schödinger-like approach.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request].

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Acknowledgements

The authors thank the Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico (FUNCAP), the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) and the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Grants no. 200879/2022-7 (RVM) and no. 309553/2021-0 (CASA) for financial support. R. V. Maluf acknowledges the Departament de Física Teòrica de la Universitat de València for the kind hospitality.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, C.P. 6030, Fortaleza, CE, 60455-760, Brazil

    A. R. P. Moreira, F. M. Belchior, R. V. Maluf & C. A. S. Almeida

  2. Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia - CSIC, Universidad de Valencia, 46100, Burjassot, Valencia, Spain

    R. V. Maluf

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  1. A. R. P. Moreira
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  2. F. M. Belchior
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Correspondence to C. A. S. Almeida.

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Moreira, A.R.P., Belchior, F.M., Maluf, R.V. et al. Bulk fields localization on thick string-like brane in f(T) gravity. Eur. Phys. J. Plus 138, 730 (2023). https://doi.org/10.1140/epjp/s13360-023-04343-0

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