Additional Symmetry of CKP hierarchy
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Based on the Orlov and Shulman's M operator, the additional symmetries and the string equation of the CKP hierarchy are established, and then the higher order constraints on $L^l$ are obtained. In addition, the generating function and some properties are also given. In particular, the additional symmetry flows form a new infinite dimensional algebra $W^C_{1+\infty}$, which is a subalgebra of $W_{1+\infty}$.
13pages, LaTex, to appear in Lett.Math.Phys
13pages, LaTex, to appear in Lett.Math.Phys