The electron-positron pair-spin model in the presence of electromagnetic fields

A. M. Khatib
Comments: 37 pages, 12 figures, 3 tables, 1 figure. Version to appear in JHEP

We investigate the presence of an electron or a positron in a complex space containing a complex electric field and a complex magnetic field. In this context we consider the hybrid matrix model (HMM) on the complex plane. The electron-positron pair-spin model is formulated in the HMM framework and gives rise to the gravity duality. We find the exact solutions of the U(1) gauge theory and the HMM model. We also provide a non-perturbative approach to determine the boundary conditions for the HMM model and the corresponding quantum gravity theory.