Modular invariance in superstring on Calabi–Yau n -fold with A−D−E singularity

@inproceedings{Eguchi2000ModularII,
  title={Modular invariance in superstring on Calabi–Yau n -fold with A−D−E singularity},
  author={Tohru Eguchi and Yuji Sugawara},
  year={2000}
}
We study the type II superstring theory on the background Rd−1,1 ×Xn, where Xn is a Calabi-Yau n-fold (2n + d = 10) with an isolated singularity, by making use of the holographically dual description proposed by Giveon-Kutasov-Pelc [1]. We compute the toroidal partition functions for each of the cases d = 6, 4, 2, and obtain manifestly modular invariant solutions classified by the standard A − D − E series corresponding to the type of singularities on Xn. Partition functions of these modular… CONTINUE READING

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