Abstract:
We compute the partition function of N = 2 supersymmetric mixed dimensional QED on a squashed hemisphere using localization. Mixed dimensional QED is
an abelian gauge theory coupled to charged matter fields at the boundary. The partition function is a function of the complex gauge coupling τ , the choice of R-symmetry
and the squashing deformation. The superconformal R-symmetry is determined using the
3-dimensional F-maximization. The free energy as a function of squashing deformation
allows computing correlation functions that contain the insertion of the energy-momentum
tensor. We compute the 2-point correlation function of the energy-momentum tensor of
3-dimensional theory by differentiating the free energy with respect to the squashing parameter. We comment on the behaviour of the 2-point function as we change the complex
coupling τ .
