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Generalized conifolds and four dimensional Script N = 1 superconformal theories

1998/11/30 by Steven S. Gubser, S. Gubser, Nikita Nekrasov +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Conifold #Cosmology and Gravitation Theories #Cusp (singularity) #Field (mathematics) #Field theory (psychology) #Geometry #Gravitational singularity #Horizon #M-theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Singularity #String (physics) #String theory #Supergravity #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/1999/05/003

published as JHEP 9905:003,1999 · harvmac 27pp; v2. refs added, typos corrected, abstract renormalized, v3. more of that sort, version to appear in JHEP

openalex publication_date 1999/05/06 · arxiv created 1999/05/09 · openalex created_date 2016/06/24 · arxiv updated 2017/09/07 · openalex updated_date 2026/08/05

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 N=1 superconformal theories dictating their low-energy dynamics are infrared fixed points arising from deforming the corresponding ADE 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.

Citations