Geometric Engineering of N=2 CFT_{4}s based on Indefinite Singularities: Hyperbolic Case
Nucl.Phys. B674 (2003) 593-614 Using 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 \text...
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| creator | Haddou, M. Ait Ben Belhaj, A Saidi, E. H |
| description | Nucl.Phys. B674 (2003) 593-614 Using 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. |
| doi_str_mv | 10.48550/arxiv.hep-th/0307244 |
| format | Article |
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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}
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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}
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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.</abstract><doi>10.48550/arxiv.hep-th/0307244</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - High Energy Physics - Theory |
| title | Geometric Engineering of N=2 CFT_{4}s based on Indefinite Singularities: Hyperbolic Case |
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