2015/11/02 by Bartomeu Fiol, Blai Garolera, Genís Torrents +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Computation #Duality (order theory) #Eigenvalues and eigenvectors #Field (mathematics) #Gauge theory #Lagrangian #Quantum Chromodynamics and Particle Interactions #Quantum entanglement #Quantum field theory #Quantum many-body systems #hep-th
paper · pdf · doi:10.1007/jhep01(2016)168
20 pages
arxiv created 2015/11/02 · openalex publication_date 2016/01/01 · arxiv updated 2016/03/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We use supersymmetric localization to study probes of four dimensional Lagrangian N=2 superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a Wigner eigenvalue density precisely when they satisfy a necessary condition for having a holographic dual with a sensible higher-derivative expansion. We then compute in the saddle-point approximation the vacuum expectation value of 1/2-BPS circular Wilson loops, and the two-point functions of these Wilson loops with the Lagrangian density and with the stress-energy tensor. This last computation also provides the corresponding Bremsstrahlung functions and entanglement entropies. As expected, whenever a finite fraction of the matter is in the fundamental representation, the results are drastically different from those of N=4 supersymmetric Yang-Mills theory.