Gupta R.K.; Ray A.; Sil K.2025-02-1720211http://dx.doi.org/10.1007/JHEP07(2021)074https://idr.iitbbs.ac.in/handle/2008/3435We 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 ?, 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 ?. � 2021, The Author(s).enBoundary Quantum Field Theory; Conformal Field Theory; Supersymmetric Gauge TheorySupersymmetric graphene on squashed hemisphereArticle