Nicolai maps with four-fermion interactions

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

Externe Organisationen

  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
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OriginalspracheEnglisch
Aufsatznummer132
Seitenumfang17
FachzeitschriftJournal of high energy physics
Jahrgang2023
Ausgabenummer12
PublikationsstatusVeröffentlicht - 19 Dez. 2023

Abstract

Nicolai maps offer an alternative description of supersymmetric theories via nonlinear and nonlocal transformations characterized by the so-called ‘free-action’ and ‘determinant-matching’ conditions. The latter expresses the equality of the Jacobian determinant of the transformation with the one obtained by integrating out the fermions, which so far have been considered only to quadratic terms. We argue that such a restriction is not substantial, as Nicolai maps can be constructed for arbitrary nonlinear sigma models, which feature four-fermion interactions. The fermionic effective one-loop action then gets generalized to higher loops and the perturbative tree expansion of such Nicolai maps receives quantum corrections in the form of fermion loop decorations. The ‘free-action condition’ continues to hold for the classical map, but the ‘determinant-matching condition’ is extended to an infinite hierarchy in fermion loop order. After general considerations for sigma models in four dimensions, we specialize to the case of CPN symmetric spaces and construct the associated Nicolai map. These sigma models admit a formulation with only quadratic fermions via an auxiliary vector field, which does not simplify our analysis.

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Nicolai maps with four-fermion interactions. / Casarin, Lorenzo; Lechtenfeld, Olaf; Rupprecht, Maximilian.
in: Journal of high energy physics, Jahrgang 2023, Nr. 12, 132, 19.12.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Casarin L, Lechtenfeld O, Rupprecht M. Nicolai maps with four-fermion interactions. Journal of high energy physics. 2023 Dez 19;2023(12):132. doi: 10.48550/arXiv.2310.19946, 10.1007/JHEP12(2023)132
Casarin, Lorenzo ; Lechtenfeld, Olaf ; Rupprecht, Maximilian. / Nicolai maps with four-fermion interactions. in: Journal of high energy physics. 2023 ; Jahrgang 2023, Nr. 12.
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AU - Casarin, Lorenzo

AU - Lechtenfeld, Olaf

AU - Rupprecht, Maximilian

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