Submissions from Jung-Hae Kim

[1]  faKiv:1912.08404 [pdf]
K-theorem at the level of the F-theory extension of the $AdS_2$ double-column
Comments: 12 pages, 2 figures. V2: some minor clarifications, references added

We study K-theorem at the level of the $AdS_2$ double-column model by giving up to $N_f$ the two-subleading form of the K-theorem in the $AdS_2$ double-column model. We derive the K-theorem formula for the noncommutative K-theorem of the double-column model, as well as its kinematical formulation. While the K-theorem formula has a finite limit, we show that the limit of the kinematical formulation can be extended to all orders and all dimensions. This results in a rephasing formula for the kinematical K-theorem of the double-column model.

[2]  faKiv:1912.08581 [pdf]
A Review of the Duality and Boundary Black Holes in Charge-current Gravity
Comments: 17 pages, 7 figures. Title changed to reflect the release of the second edition of the Lectures of Erica L. Brown, Jung-Hae Kim

The role of the boundary condition for the duality in charge-current gravity is reviewed by examining its consequences on the behavior of the gravity field in the presence of an external charge. In particular, it is shown that the boundary condition increases the entropy of the gravity. This leads to the suspicion that the boundary condition is the primary mechanism by which the duality is realized. It also indicates that the boundary condition is a factor in the evolution of the boundary geometry and the resulting Hamiltonian. Finally, it is shown that the boundary condition does not both propagate and stabilize in the presence of an external charge.