Speaker
Prof.
Kyung Kiu Kim
(Kookmin University)
Description
We study particular gravity duals to the inhomogeneously mass-deformed ABJM (ImABJM) theory. The final goal of this paper is to obtain the ABJM theory deformed by a delta function-type mass. The resultant theory can be interpreted as the ABJM theory with defects. The mass operators of the mass-deformed ABJM (mABJM) theory are identified with these defect operators. Corresponding gravity duals are supergravity solutions obtained by solving a relevant BPS equation. This BPS equation is a linear partial differential equation known as the Helmholtz equation. We solve the differential equation using various numerical methods, including machine learning. We investigate appropriate physical quantities in the supergravity background.
