42 citations · 105 across the 3 of their papers we have counts for
7 papers
Isomonodromic Quantization of Dimensionally Reduced Gravity
D. Korotkin, H. Nicolai
We present a detailed account of the isomonodromic quantization of dimensionally reduced Einstein gravity with two commuting Killing vectors. This theory constitutes an integrable…
Some remarks on finite-gap solutions of the Ernst equation
Dmitrii Korotkin
It is shown that the class of algebro-geometrical (finite-gap) solutions of the Ernst equation constructed several years ago in [D.Korotkin, Theor.Math.Phys., 77 (1989), p. 1018] c…
On the quantization of isomonodromic deformations on the torus
D. A. Korotkin, J. A. H. Samtleben
The quantization of isomonodromic deformation of a meromorphic connection on the torus is shown to lead directly to the Knizhnik-Zamolodchikov-Bernard equations in the same way as…
An Integrable Model of Quantum Gravity
D. Korotkin, H. Nicolai
We present a new quantization scheme for gravity coupled to an principal chiral field and a dilaton; this model represents a slightly simplified version of stationary…
"Separation of Variables and Hamiltonian Formulation for the Ernst Equation"
D. Korotkin, H. Nicolai
It is shown that the vacuum Einstein equations for an arbitrary stationary axisymmetric space-time can be completely separated by re-formulating the Ernst equation and its associat…
The Ernst Equation on a Riemann Surface
D. Korotkin, H. Nicolai
The Ernst equation is formulated on an arbitrary Riemann surface. Analytically, the problem reduces to finding solutions of the ordinary Ernst equation which are periodic along the…