Duality of Orthogonal and Symplectic Random Tensor Models - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2022

Duality of Orthogonal and Symplectic Random Tensor Models

Hannes Keppler
  • Fonction : Auteur

Résumé

The groups $O(N)$ and $Sp(N)$ are related by an analytic continuation to negative values of $N$, $O(-N)\simeq Sp(N)$. This duality has been studied for vector models, $SO(N)$ and $Sp(N)$ gauge theories, as well as some random matrix ensembles. We extend this duality to real random tensor models of arbitrary order $D$ with no symmetry under permutation of the indices and with quartic interactions. The $N$ to $-N$ duality is shown to hold graph by graph to all orders in perturbation theory for the partition function, the free energy and the connected two point function.

Dates et versions

hal-03726608 , version 1 (18-07-2022)

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Citer

Razvan Gurau, Hannes Keppler. Duality of Orthogonal and Symplectic Random Tensor Models. 2022. ⟨hal-03726608⟩
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