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Broken Global Symmetries and Defect Conformal Manifolds.
Phys Rev Lett
November 2022
Department of Mathematics, King's College London, The Strand, WC2R 2LS London, United Kingdom.
Just as exactly marginal operators allow one to deform a conformal field theory along the space of theories known as the conformal manifold, appropriate operators on conformal defects allow for deformations of the defects. When a defect breaks a global symmetry, there is a contact term in the conservation equation with an exactly marginal defect operator. The resulting defect conformal manifold is the symmetry breaking coset, and its Zamolodchikov metric is expressed as the two-point function of the exactly marginal operator.
View Article and Find Full Text PDFExact correlation functions in SU(2) N=2 superconformal QCD.
Phys Rev Lett
December 2014
Theory Group, Physics Department, CERN, CH-1211 Geneva 23, Switzerland.
We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are nontrivial functions of the gauge coupling, obeying differential equations which take the form of the semi-infinite Toda chain. We solve these equations recursively in terms of the Zamolodchikov metric that can be determined exactly from supersymmetric localization on the four-sphere.
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