Infinite Charge Algebra of Gravitational Instantons

Abstract

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.

7 pages

References in corpus (2)

• SDiff(2) Toda equation -- hierarchy, $\tau$ function, and symmetries
• Nonabelian KP hierarchy with Moyal algebraic coefficients

Cited by in corpus (5)

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• The Hamiltonian structure of the dispersionless Toda hierarchy
• NUT Solutions in Einstein-Maxwell-scalar-Gauss-Bonnet Gravity