2015/12/08 by Chih-Kai Chang, Heng-Yu Chen, Heng‐Yu Chen +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry #Line (geometry) #Magnetic monopole #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Realization (probability) #Rotation (mathematics) #Symmetry (geometry) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2018.05.011
published as Nucl.Phys.B932:298,2018 · 27 pages, 5 figures
arxiv created 2015/12/08 · openalex publication_date 2018/05/17 · arxiv updated 2018/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We demonstrate explicitly that the vacuum expectation values (vevs) of BPS line operators in 4d N=2 super Yang–Mills theory compactified on a circle, computed by localization techniques, can be expanded in terms of Darboux coordinates as proposed by Gaiotto, Moore, and Neitzke [1]. However, we need to augment the expressions for Darboux coordinates with additional monopole bubbling contributions to obtain a precise match. Using D-brane realization of these singular BPS line operators, we derive and incorporate the monopole bubbling contributions as well as predict the degeneracies of framed BPS states contributing to the line operator vevs in the limit of vanishing simultaneous spatial and R-symmetry rotation fugacity parameter.