Work

On the N ↔ − N self-duality of su(N) theories

Year: 2025

Type: article

Abstract: We generalize N ↔ − N duality of dimension formulae of SU ( N ) representations on a (class of the) representations with N -dependent Young diagrams, including adjoint representation. Duality is extended on the eigenvalues of Casimir operator for these representations. We discuss the consequences for the hypothesis of universal, in Vogel’s sense, decomposition of powers of adjoint representation into Casimir subspaces.

Source: Nuclear Physics B

DOI: 10.1016/j.nuclphysb.2025.117266

Author: R.L. Mkrtchyan

Institution: A. Alikhanyan National Laboratory

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Ministry of Education and Science, State Committee of Science

Awards: G1640264778, G195076483