期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2018)037
关键词
Extended Supersymmetry; Supersymmetric Gauge Theory; Supersymmetry and Duality; Conformal Field Theory
资金
- Walter Burke Institute for Theoretical Physics
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
- Sherman Fairchild Foundation
- NSF GRFP [DGE-1656466]
- Graduate School at Princeton University
- Simons Foundation [488651]
- Israel Science Foundation Center for Excellence
- Minerva Foundation
- Federal German Ministry for Education and Research
- ISF [1200/14]
We develop new techniques for computing exact correlation functions of a class of local operators, including certain monopole operators, in three-dimensional N = 4 abelian gauge theories that have superconformal infrared limits. These operators are position-dependent linear combinations of Coulomb branch operators. They form a one-dimensional topological sector that encodes a deformation quantization of the Coulomb branch chiral ring, and their correlation functions completely fix the (n <= 3)-point functions of all half-BPS Coulomb branch operators. Using these results, we provide new derivations of the conformal dimension of half-BPS monopole operators as well as new and detailed tests of mirror symmetry. Our main approach involves supersymmetric localization on a hemisphere HS3 with half-BPS boundary conditions, where operator insertions within the hemisphere are represented by certain shift operators acting on the HS3 wavefunction. By gluing a pair of such wavefunctions, we obtain correlators on S-3 with an arbitrary number of operator insertions. Finally, we show that our results can be recovered by dimensionally reducing the Schur index of 4D N = 2 theories decorated by BPS 't Hooft-Wilson loops.
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