2006/12/11 by Adam Ritz · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dyon #Higgs boson #Magnetic monopole #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #hep-th
paper · pdf · doi:10.1103/physrevd.75.085008
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 75(8) (American Physical Society) · 16 pages, 1 figure
arxiv created 2006/12/11 · openalex publication_date 2007/04/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
N=(2,2) theories in 1+1D exhibit a direct correspondence between the R charges of chiral operators at a conformal point and the multiplicities of Bogomol'nyi-Prasad-Sommerfield (BPS) kinks in a massive deformation, as shown by Cecotti and Vafa. We obtain an analogous relation in 3+1D for N=2 gauge theories that are massive perturbations of Argyres-Douglas fixed points, utilizing the geometric engineering approach to N=2 vacua within IIB string theory. In this case the scaling dimensions of a certain subset of chiral operators at the UV fixed point are related to the multiplicities of BPS dyons. When the Argyres-Douglas superconformal field theory is realized at the root of a baryonic Higgs branch, this translation from 1+1D to 3+1D can be understood physically from the relation between the bulk dynamics and the N=(2,2) world-sheet dynamics of vortices in the baryonic Higgs phase. Under a relevant perturbation, the BPS kink multiplicity on the vortex world sheet translates to that of the bulk dyonic states. The latter viewpoint suggests the 3+1D version of the Cecotti-Vafa relation may hold more generally, and simple tests provide evidence in favor of this for more generic choices of the baryonic root.