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- Bootstrapping the O(N) Vector Models

We study the

conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous

upper bounds on the scaling dimensions of the first O(N) singlet and symmetric

tensor operators appearing in the \phi_i x \phi_j OPE, where \phi_i is a

fundamental of O(N). Comparing these bounds to previous determinations of

critical exponents in the O(N) vector models, we find strong numerical evidence

that the O(N) vector models saturate the bootstrap constraints at all values of

N. We also compute general lower bounds on the central charge, giving numerical

predictions for the values realized in the O(N) vector models. We compare our

predictions to previous computations in the 1/N expansion, finding precise

agreement at large values of N.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Event Date:

Tuesday, October 15, 2013 - 14:00 to 15:30

Location:

Time Room

Room #:

294

©2012 Perimeter Institute for Theoretical Physics