Duality of O(N) and Sp(N) random tensor models

• Verfasst von: Keppler, Hannes [VerfasserIn]
• Verfasst von: Krajewski, T. [VerfasserIn]
• Verfasst von: Muller, T. [VerfasserIn]
• Verfasst von: Tanasa, A. [VerfasserIn]
• Titel: Duality of O(N) and Sp(N) random tensor models
• Titelzusatz: tensors with symmetries
• Verf.angabe: H. Keppler, T. Krajewski, T. Muller and A. Tanasa
• E-Jahr: 2023
• Jahr: 21 November 2023
• Umfang: ?
• Fussnoten: Gesehen am 22.01.2024
• Titel Quelle: Enthalten in: Journal of physics / A
• Ort Quelle: Bristol : IOP Publ., 2007
• Jahr Quelle: 2023
• Band/Heft Quelle: 56(2023), 49, Artikel-ID 495206$?
• ISSN Quelle: 1751-8121
• DOI: doi:10.1088/1751-8121/ad0af4
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1878583018

Abstract

In a recent series of papers, a duality between orthogonal and symplectic random tensor models has been proven, first for quartic models and then for models with interactions of arbitrary order. However, the tensor models considered so far in the literature had no symmetry under permutation of the indices. In this paper, we generalize these results for tensors models with interactions of arbitrary order which further have non-trivial symmetry under the permutation of the indices. Totally symmetric and anti-symmetric tensors are thus treated as a particular case of our result.