English

Uniqueness Theorem of W-Constraints for Simple Singularities

Quantum Algebra 2015-06-15 v1 Mathematical Physics Algebraic Geometry math.MP

Abstract

In a recent paper [3], Bakalov and Milanov proved that the total descendant potential of a simple singularity satisfies the W-constraints, which come from the W-algebra of the lattice vertex algebra associated to the root lattice of this singularity and a twisted module of this vertex algebra. In the present paper, we prove that the solution of these W-constraints is unique up to a constant factor, as conjectured by Bakalov and Milanov in their paper.

Keywords

Cite

@article{arxiv.1305.2593,
  title  = {Uniqueness Theorem of W-Constraints for Simple Singularities},
  author = {Si-Qi Liu and Di Yang and Youjin Zhang},
  journal= {arXiv preprint arXiv:1305.2593},
  year   = {2015}
}

Comments

18 pages

R2 v1 2026-06-22T00:15:05.467Z