Large N bilocals at the infrared fixed point of the three dimensional O(N) invariant vector theory with a quartic interaction

Abstract

We study the three dimensional O(N) invariant bosonic vector model with a $\frac{\lambda }{N}({\varphi }^a{\varphi }^a{)}^2$ interaction at its infrared fixed point, using a bilocal field approach and in an $1/N$ expansion. We identify a (negative energy squared) bound state in its spectrum about the large $N$ conformal background. At the critical point this is identified with the $\Delta =2$ state. We further demonstrate that at the critical point the $\Delta =1$ state disappears from the spectrum.

arXiv comment30 pages

References in corpus (12)

• Gauge Theory Correlators from Non-Critical String Theory
• AdS Dual of the Critical O(N) Vector Model
• Quantum Field Theory in the Large N Limit: a review
• Chern-Simons Theory with Vector Fermion Matter
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Higher Spins in AdS and Twistorial Holography
• AdS_4/CFT_3 Construction from Collective Fields
• Large-N Collective Fields and Holography
• Evaluating the AdS dual of the critical O(N) vector model
• Systematic $1/N$ corrections for bosonic and fermionic vector models without auxiliary fields
• Canonical Formulation of $O(N)$ Vector/Higher Spin Correspondence
• ABJ Quadrality

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• Quantum Error Correction and Holographic Information from Bilocal Holography