3 papers
hep-th2000
Poisson algebra of 2d dimensionally reduced gravity
D. Bernard, N. Regnault
Using a Lax pair based on twisted affine Kac-Moody and Virasoro algebras, we deduce a r-matrix formulation of two dimensional reduced vacuum Einstein's equations. Whereas…
solv-int1999
Vertex Operator Solutions of 2d Dimensionally Reduced Gravity
Denis Bernard, Nicolas Regnault
We apply algebraic and vertex operator techniques to solve two dimensional reduced vacuum Einstein's equations. This leads to explicit expressions for the coefficients of metrics s…
hep-th1997
Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators
D. Bernard, B. Julia
The Geroch group, isomorphic to the SL(2,R) affine Kac-Moody group, is an infinite dimensional solution generating group of Einstein's equations with two surface orthogonal commuti…