PoS - Proceedings of Science
Volume 334 - The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) - Poster reception
The properties of D1-branes from lattice super Yang--Mills theory using gauge/gravity duality
R.G. Jha
Full text: pdf
Published on: May 29, 2019
Abstract
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 $A_{2}^{*}$ 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 $\mathcal{N} = 4$ SYM case does not vanish and is proportional to the trace of energy-momentum tensor.
DOI: https://doi.org/10.22323/1.334.0308
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