Submissions from JungHae Kim
 [1] faKiv:1912.08404 [pdf]

Ktheorem at the level of the Ftheory extension of the $AdS_2$ doublecolumnComments: 12 pages, 2 figures. V2: some minor clarifications, references added
We study Ktheorem at the level of the $AdS_2$ doublecolumn model by giving up to $N_f$ the twosubleading form of the Ktheorem in the $AdS_2$ doublecolumn model. We derive the Ktheorem formula for the noncommutative Ktheorem of the doublecolumn model, as well as its kinematical formulation. While the Ktheorem 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 Ktheorem of the doublecolumn model.
 [2] faKiv:1912.08581 [pdf]

A Review of the Duality and Boundary Black Holes in Chargecurrent GravityComments: 17 pages, 7 figures. Title changed to reflect the release of the second edition of the Lectures of Erica L. Brown, JungHae Kim
The role of the boundary condition for the duality in chargecurrent 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.