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- W3100503104 abstract "Abstract Simple, or Kleinian, singularities are classified by Dynkin diagrams of type $ADE$ . Let $mathfrak {g}$ be the corresponding finite-dimensional Lie algebra, and $W$ its Weyl group. The set of $mathfrak {g}$ -invariants in the basic representation of the affine Kac–Moody algebra $hat {mathfrak {g}}$ is known as a $mathcal {W}$ -algebra and is a subalgebra of the Heisenberg vertex algebra $mathcal {F}$ . Using period integrals, we construct an analytic continuation of the twisted representation of $mathcal {F}$ . Our construction yields a global object, which may be called a $W$ -twisted representation of $mathcal {F}$ . Our main result is that the total descendant potential of the singularity, introduced by Givental, is a highest-weight vector for the $mathcal {W}$ -algebra." @default.
- W3100503104 created "2020-11-23" @default.
- W3100503104 creator A5024267141 @default.
- W3100503104 creator A5078978867 @default.
- W3100503104 date "2013-02-07" @default.
- W3100503104 modified "2023-10-16" @default.
- W3100503104 title "-constraints for the total descendant potential of a simple singularity" @default.
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- W3100503104 doi "https://doi.org/10.1112/s0010437x12000668" @default.
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