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arXiv · hep-th/9811230

Generalized Conifolds and 4d N=1 SCFT

S. Gubser·N. Nekrasov·S. L. Shatashvili
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Abstract

This paper lays groundwork for the detailed study of the non-trivial renormalization group flow connecting supersymmetric fixed points in four dimensions using string theory on AdS spaces. Specifically, we consider D3-branes placed at singularities of Calabi-Yau threefolds which generalize the conifold singularity and have an ADE classification. The $\mathcal{N}=1$ superconformal theories dictating their low-energy dynamics are infrared fixed points arising from deforming the corresponding ADE $\mathcal{N}=2$ superconformal field theories by mass terms for adjoint chiral fields. We probe the geometry with a single $D3$-brane and discuss the near-horizon supergravity solution for a large number $N$ of coincident $D3$-branes.

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S. Gubser, N. Nekrasov, S. L. Shatashvili. 1999-05-09. Generalized Conifolds and 4d N=1 SCFT. https://doi.org/10.1088/1126-6708%2F1999%2F05%2F003

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