Modular Invariance in Superstring on Calabi-Yau n-fold with A-D-E Singularity

dc.creatorEguchi, Tohru
dc.creatorSugawara, Yuji
dc.date2000-02-12
dc.date2000-03-09
dc.date.accessioned2026-07-07T10:53:18Z
dc.date.available2026-07-07T10:53:18Z
dc.descriptionWe study the type II superstring theory on the background $\br^{d-1,1}\times X_n$, where $X_n$ 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 (hep-th/9907178). 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 $X_n$. Partition functions of these modular invariants all vanish due to theta function identities and are consistent with the presence of space-time supersymmetry.
dc.descriptiontypos corrected, to appear in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/hep-th/0002100
dc.identifierhttp://arxiv.org/abs/hep-th/0002100
dc.identifierNucl.Phys.B577:3-22,2000
dc.identifierdoi:10.1016/S0550-3213(00)00150-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185439
dc.subjectHigh Energy Physics - Theory
dc.titleModular Invariance in Superstring on Calabi-Yau n-fold with A-D-E Singularity
dc.typetext

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