  We examine the possibility of dynamical supersymmetry breaking in
two-dimensional $\mathcal{N} = (2, 2)$ supersymmetric Yang-Mills theory. The
theory is discretized on a Euclidean spacetime lattice using a supersymmetric
lattice action. We compute the vacuum energy of the theory at finite
temperature and take the zero temperature limit. Supersymmetry will be
spontaneously broken in this theory if the measured ground state energy is
non-zero. By performing simulations on a range of lattices up to $96 \times 96$
we are able to perform a careful extrapolation to the continuum limit for a
wide range of temperatures. Subsequent extrapolations to the zero temperature
limit yield an upper bound on the ground state energy density. We find the
energy density to be statistically consistent with zero in agreement with the
absence of dynamical supersymmetry breaking in this theory.

High Energy Physics - Lattice;High Energy Physics - Theory