Thomas Muller: Duality of orthogonal and symplectic tensor models continued
→
Europe/Paris
Description
The groups O(N) and Sp(N) are related by an analytic continuation to negative values of N, O(−N) \approx Sp(N). This duality has been studied for vector models, some random matrix ensembles as well as colored tensor models with quartic interactions. In this talk, we will generalise this duality to tensor models with polynomial interactions of arbitrary order and with symmetry given by irreducible representations of O(N) and Sp(N). Based on : Lett Math Phys 113, 83 (2023), arXiv:2304.03625 and arXiv:2307.01527 (accepted in Jphys. A)
