A random matrix model with non-pairwise contracted indices

• Published in: Progress of theoretical and experimental physics Vol. 2019; no. 7
• Main Authors: Lionni, Luca, Sasakura, Naoki
• Format: Journal Article
• Language: English
• Published: Oxford Oxford University Press 01.07.2019; Oxford University Press on behalf of the Physical Society of Japan
• Subjects: General Relativity and Quantum Cosmology; Graphs; Gravity; High Energy Physics - Theory; Mathematical Physics; Mathematics; Physics; Symmetry; B86; B83; A13
• ISSN: 2050-3911; 2050-3911
• DOI: 10.1093/ptep/ptz057

Abstract We consider a random matrix model with both pairwise and non-pairwise contracted indices. The partition function of the matrix model is similar to that appearing in some replicated systems with random tensor couplings, such as the $p$-spin spherical model for the spin glass. We analyze the...