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Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity

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arxiv hep-th/9807080 v3 pith:5U4ALPLW submitted 1998-07-10 hep-th

Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity

classification hep-th
keywords theorytimessingularitystringthreebranesparallelrelatedargue
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Just as parallel threebranes on a smooth manifold are related to string theory on $AdS_5\times {\bf S}^5$, parallel threebranes near a conical singularity are related to string theory on $AdS_5\times X_5$, for a suitable $X_5$. For the example of the conifold singularity, for which $X_5=(SU(2)\times SU(2))/U(1)$, we argue that string theory on $AdS_5\times X_5$ can be described by a certain ${\cal N}=1$ supersymmetric gauge theory which we describe in detail.

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