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

@article{Liu2013UniquenessTO,
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},
year={2013},
volume={103},
pages={1329-1345}
}
• Published 12 May 2013
• Mathematics
• 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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