W Gravity, $N=2$ Strings and $2+2S{U}^{\ast }(\infty )$

Yang-Mills Instantons Carlos Castro

We conjecture that $W$ gravity can be interpreted as the gauge theory of $\varphi$ diffeomorphisms in the space of dimensionally-reduced $D=2+2$ $S{U}^{\ast }(\infty )$ Yang-Mills instantons. The…