Using a formalism of minitwistors, we derive infinitely many conserved charges for the sl(∞)-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.
Bibliographical noteFunding Information:
We would like to thank the DeutscheF orschungsgemeinsch(aJ.fHt .), the Korean Sciencea nd Engineering Foundation( J.H. and Q.P.) and the Program of Basic ScienceR esearchM, inistryof Education (Q.P.), for financials upport.
ASJC Scopus subject areas
- Nuclear and High Energy Physics