3 papers
math-ph2004
Ernst equation, Fay identities and variational formulas on hyperelliptic curves
C. Klein, D. Korotkin, V. Shramchenko
We present a unified approach to theta-functional solutions of the stationary axisymmetric Einstein equations in vacuum. Using Fay's trisecant identity and variational formulas on…
math-ph2001
A new hierarchy of integrable systems associated to Hurwitz spaces
A. Kokotov, D. Korotkin
In this paper we introduce a new class of integrable systems, naturally associated to Hurwitz spaces (spaces of meromorphic functions over Riemann surfaces). The critical values of…
hep-th1996
Integrable Classical and Quantum Gravity
H. Nicolai, D. Korotkin, H. Samtleben
In these lectures we report recent work on the exact quantization of dimensionally reduced gravity, i.e. 2d non-linear (G/H)-coset space sigma-models coupled to gravity and a dilat…