Abstract:
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 solutions of the vacuum equations as ratios of determinants. No quadratures are left. These formulas rely on the identification of dual pairs of vertex operators corresponding to dual metrics related by the Kramer–Neugebauer symmetry.
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Received: 25 March 1999 / Accepted: 14 September 1999
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Bernard, D., Regnault, N. Vertex Operator Solutions of¶2d Dimensionally Reduced Gravity. Comm Math Phys 210, 177–201 (2000). https://doi.org/10.1007/s002200050776
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DOI: https://doi.org/10.1007/s002200050776