Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2015)037
Keywords
Solitons Monopoles and Instantons; 1/N Expansion
Categories
Funding
- NSF [PHY-0756174, DMR-1360789]
- Princeton Center for Theoretical Science
- US NSF [PHY-1418069]
- Templeton foundation
- MURI from ARO [W911NF-14-1-0003]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1360789] Funding Source: National Science Foundation
Ask authors/readers for more resources
We study monopole operators at the conformal critical point of the CPNb-1 theory in 2+1 spacetime dimensions. Using the state-operator correspondence and a saddle point approximation, we compute the scaling dimensions of the operators that insert one or two units of magnetic flux to next-to-leading order in 1/N-b. We compare our results to numerical studies of quantum antiferromagnets on two-dimensional lattices with SU(N-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 rotationally-symmetric 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 non-spherically-symmetric saddles.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available