Infinite Charge Algebra of Gravitational Instantons

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages

Scientific paper

10.1016/0370-2693(94)90252-6

Using a formalism of minitwistors, we derive infinitely many conserved
charges for the $sl(\infty )$-Toda equation which accounts for gravitational
instantons with a rotational Killing symmetry. These charges are shown to form
an infinite dimensional algebra through the Poisson bracket which is isomorphic
to two dimensional area preserving diffeomorphism with central extentions.

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