32 citations · 55 across the 6 of their papers we have counts for
6 papers
Periodic Kerr solution as an infinite soliton chain
Dmitry Korotkin, Javier Peraza
We combine numerical analysis with the inverse scattering method to study the periodic analog of Kerr solution. The periodic analog of the Schwarzschild solution is known to be reg…
New systems of log-canonical coordinates on character varieties of compact Riemann surfaces
Marco Bertola, Dmitry Korotkin, Jordi Pillet
We construct new sets of log-canonical coordinates on the character variety of compact Riemann surfaces. These are labelled by families of no…
Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods
Eddy B. de Leon. C. Klein, D. Korotkin
We present a numerical and analytical study of the so-called `toron' solution of the stationary axisymmetric Einstein equations in vacuum expressed in terms of elliptic functions.…
Integrability and Einstein's Equations
Dmitry Korotkin, Henning Samtleben
Integrable structures arise in general relativity when the spacetime possesses a pair of commuting Killing vectors admitting 2-spaces orthogonal to the group orbits. The physical i…
correction to free energy in hermitian two-matrix model
B. Eynard, A. Kokotov, D. Korotkin
Using the loop equations we find an explicit expression for genus 1 correction in hermitian two-matrix model in terms of holomorphic objects associated to spectral curve arising in…
Quantization of coset space sigma-models coupled to two-dimensional gravity
D. Korotkin, H. Samtleben
The mathematical framework for an exact quantization of the two-dimensional coset space sigma-models coupled to dilaton gravity, that arise from dimensional reduction of gravity an…