Abstract:In [1], Nakatsu and Takasaki have shown that the melting crystal model behind the topological strings vertex provides a tau-function of the KP hierarchy after an appropriate time deformation. We revisit their derivation with a focus on the underlying quantum W 1+∞ symmetry. Specifically, we point out the role played by automorphisms and the connection with the intertwiner -or vertex operator -of the algebra. This algebraic perspective allows us to extend part of their derivation to the refined melting crystal … Show more
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