Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series PT-IHES
Subjects hep-th
Date Monday 18 October 2021
Time 14:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Sinha
Speaker's First Name Ritam
Speaker's Email Address
Speaker's Institution Hebrew University Jerusalem
Title The Bi-conical Vector Model at 1/N
Abstract 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.
arXiv Preprint Number

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