Solving the 2D SUSY Gross-Neveu-Yukawa model with conformal truncation

A bstract We use Lightcone Conformal Truncation to analyze the RG flow of two-dimensional supersymmetric Gross-Neveu-Yukawa theory, i.e. theory a real scalar superfield with ℤ 2 -symmetric cubic superpotential, aka 2d Wess-Zumino model. The depends on single dimensionless coupling $$ \overline{g} g ¯ , and is expected have critical point at tuned value {\overline{g}}_{\ast } ∗ where it flows in IR Tricritical Ising Model (TIM); spontaneously breaks symmetry one side this phase transition, SUSY other side. calculate spectrum energies as function see gap close approached, numerically read off exponent ν TIM. Beyond point, remains nearly zero, agreement expectation massless Goldstino. also study spectral functions local operators both sides transition compare analytic predictions possible. In particular, we Zamolodchikov C -function map entire diagram theory. Crucial analysis fact that our truncation able preserve supersymmetry sufficiently avoid any additional fine tuning.