Geometric engineering of CFT4 based on indefinite singularities: hyperbolic case
2003; Elsevier BV; Volume: 674; Issue: 3 Linguagem: Inglês
10.1016/j.nuclphysb.2003.08.037
ISSN1873-1562
AutoresMalika Ait Ben Haddou, A. Belhaj, El Hassan Saidi,
Tópico(s)Nonlinear Waves and Solitons
ResumoUsing Katz, Klemm and Vafa geometric engineering method of $\mathcal{N}=2$ supersymmetric QFT$_{4}$s and results on the classification of generalized Cartan matrices of Kac-Moody (KM) algebras, we study the un-explored class of $\mathcal{N}=2$ CFT$_{4}$s based on \textit{indefinite} singularities. We show that the vanishing condition for the general expression of holomorphic beta function of $\mathcal{N}=2$ quiver gauge QFT$_{4}$s coincides exactly with the fundamental classification theorem of KM algebras. Explicit solutions are derived for mirror geometries of CY threefolds with \textit{% hyperbolic} singularities.
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