2018/09/30 by Raghav G. Jha, Raghav Govind Jha
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge theory #Geometry #Hamiltonian lattice gauge theory #Lattice field theory #Lattice gauge theory #Mathematical physics #Mathematics #Moduli space #Particle physics theoretical and experimental studies #Physics #Supergravity #Supersymmetry #Yang–Mills theory #hep-lat #hep-th
paper · pdf · doi:10.22323/1.334.0308
published as PoS (Lattice 2018) 308 · 1+6 pages, proceedings for the 36th International Symposium on Lattice Field Theory (22-28 July 2018). v2 -- Fixed typos and added two references
arxiv created 2018/10/23 · openalex publication_date 2019/05/29 · arxiv updated 2019/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The two-dimensional supersymmetric Yang-Mills (SYM) theory with sixteen supercharges at large N and strong ’t Hooft coupling is conjectured to be dual to certain supergravity solutions in the decoupling limit. We discretize the gauge theory preserving a subset of supersymmetries on the lattice. Based on the choice of a point in the moduli space for the expansion of the gauge links to target the correct continuum theory, one ends up with different lattice geometries. In our previous work, we explored the free energy and the phase structure on a skewed torus corresponding to A2* lattice geometry. Here, we will consider square lattice and calculate the free energy, equation of state and speed of sound in this strongly coupled supersymmetric plasma. Since there is no shear viscosity in two dimensions, we comment on the expectations for the bulk viscosity from the calculations on the dual supergravity side, which unlike the conformal N = 4 SYM case does not vanish and is proportional to the trace of energy-momentum tensor.