Supersymmetric graphene on squashed hemisphere

Journal of High Energy Physics

Karunava Sil¹  Rajesh Kumar Gupta¹  Augniva Ray² 

[1] Department of Physics, Indian Institute of Technology Ropar;Theory Division, Saha Institute of Nuclear Physics, HBNI;

关键词: Boundary Quantum Field Theory;    Conformal Field Theory;    Supersymmetric Gauge Theory;   

DOI  :  10.1007/JHEP07(2021)074

来源: DOAJ

【 摘 要 】

Abstract We compute the partition function of N $$ \mathcal{N} $$ = 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.

【 授权许可】

Unknown