Green-Schwarz superstring on the lattice

Understand

We consider possible discretizations for a gauge-fixed Green-Schwarz action of Type IIB superstring.

• We use them for measuring the action, from which we extract the cusp anomalous dimension of planar $\mathcal{N}=4$ SYM as derived from AdS/CFT, as well as the mass of the two $AdS$ excitations transverse to the relevant null cusp classical string solution.
• We perform lattice simulations employing a Rational Hybrid Monte Carlo (RHMC) algorithm and two Wilson-like fermion discretizations, one of which preserves the global $SO(6)$ symmetry of the model.
• We compare our results with the expected behavior at various values of $g=\frac{\sqrt{\lambda}}{4\pi}$.