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Statut |
Confirmé |
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Série |
PT-IHES |
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Domaines |
hep-th |
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Date |
Lundi 18 Octobre 2021 |
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Heure |
14:30 |
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Institut |
IHES |
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Salle |
Amphithéâtre Léon Motchane |
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Nom de l'orateur |
Sinha |
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Prenom de l'orateur |
Ritam |
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Addresse email de l'orateur |
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Institution de l'orateur |
Hebrew University Jerusalem |
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Titre |
The Bi-conical Vector Model at 1/N |
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Résumé |
We study finite N aspects of the O(m) × O(N-m) vector model with quartic interactions in general 2 ≤ d ≤ 6 spacetime dimensions. This model has recently been shown to display the phenomenon of persistent symmetry breaking at a perturbative Wilson-Fisher-like fixed point in d=4-ε dimensions. The large rank limit of the bi-conical model displays a conformal manifold and a moduli space of vacua. We find a set of three double trace scalar operators that are respectively irrelevant, relevant and marginal deformations of the conformal manifold in general d. We calculate the anomalous dimensions of the single and multi-trace scalar operators to the first sub-leading order in the large rank expansion. The anomalous dimension of the marginal operator does not vanish in general, indicating that the conformal manifold is lifted at finite N. In the case of equal ranks we are able to derive explicitly the scaling dimensions of various operators as functions of only d. |
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Numéro de preprint arXiv |
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Commentaires |
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