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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1016/0030-4018(91)90293-m

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1029-8479

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Scaling dimensions of monopole operators in the

Authors: Ethan Dyer Márk Mezei Silviu S Pufu Subir Sachdev
Publish Date: 2015/06/05
Volume: 2015, Issue: 6, Pages: 37-
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Abstract

We study monopole operators at the conformal critical point of the mathbbCmathrmmathbbPN b1 theory in 2+1 spacetime dimensions Using the stateoperator correspondence and a saddle point approximation we compute the scaling dimensions of the operators that insert one or two units of magnetic flux to nexttoleading order in 1/N b We compare our results to numerical studies of quantum antiferromagnets on twodimensional lattices with SUN b global symmetry using the mapping of the monopole operators to valence bond solid order parameters of the lattice antiferromagnet For the monopole operators that insert three or more units of magnetic flux we find that the rotationallysymmetric saddle point is unstable in order to obtain the scaling dimensions of these operators even at leading order in 1/N b one should consider nonsphericallysymmetric saddlesThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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