Component d = 6 Born-Infeld theory with N = (2, 0) → N = (1, 0) supersymmetry breaking

Nikolay Kozyrev (Bogoliubov Laboratory of Theoretical Physics, JINR, Joliot-Curie 6, Dubna, 141980, Russia)

The formalism of nonlinear realizations is used to construct a theory with 1/2 partial breaking of global supersymmetry with the N = (1, 0), d = 6 abelian vector multiplet as a Goldstone superfield. Much like the case of the N = 2, d = 4 Born-Infeld theory, proper irreducibility conditions of the multiplet are selected by the invariance with respect to the external automorphisms of the Poincaré superalgebra. They are found in the lowest nontrivial order in the auxiliary field. The fermionic contributions to the Bianchi identity are restored by assuming its covariance with respect to broken supersymmetry. The invariance of the action with respect to unbroken supersymmetry is checked in the lowest order in the fermionic fields. The supersymmetry preserving reduction of the d = 6 action to four dimensions is performed, resulting in the N = 4, d = 4 Born-Infeld theory. As expected, the reduced action enjoys U(1) self-duality.

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      "source": "Springer", 
      "value": "The formalism of nonlinear realizations is used to construct a theory with 1/2 partial breaking of global supersymmetry with the N = (1, 0), d = 6 abelian vector multiplet as a Goldstone superfield. Much like the case of the N = 2, d = 4 Born-Infeld theory, proper irreducibility conditions of the multiplet are selected by the invariance with respect to the external automorphisms of the Poincar\u00e9 superalgebra. They are found in the lowest nontrivial order in the auxiliary field. The fermionic contributions to the Bianchi identity are restored by assuming its covariance with respect to broken supersymmetry. The invariance of the action with respect to unbroken supersymmetry is checked in the lowest order in the fermionic fields. The supersymmetry preserving reduction of the d = 6 action to four dimensions is performed, resulting in the N = 4, d = 4 Born-Infeld theory. As expected, the reduced action enjoys U(1) self-duality."
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Published on:
23 November 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 8
Pages 1-29
DOI:
https://doi.org/10.1007/JHEP08(2019)136
arXiv:
1812.09286
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: