Uniqueness Theorem of $${\mathcal{W}}$$W -Constraints for Simple Singularities

  title={Uniqueness Theorem of \$\$\{\mathcal\{W\}\}\$\$W -Constraints for Simple Singularities},
  author={Si‐Qi Liu and Di Yang and You-jin Zhang},
  journal={Letters in Mathematical Physics},
AbstractIn a recent paper, Bakalov and Milanov (Compositio. Math. 149: 840–888, 2013) proved that the total descendant potential of a simple singularity satisfies the $${\mathcal{W}}$$W -constraints, which come from the $${\mathcal{W}}$$W -algebra of the lattice vertex algebra associated with the root lattice of this singularity and a twisted module of the vertex algebra. In the present paper, we prove that the solution of these $${\mathcal{W}}$$W -constraints is unique up to a constant factor… 

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