Black Holes in Type IIA String on Calabi-Yau Threefolds with Affine ADE Geometries and q-Deformed 2d Quiver Gauge Theories

Simple item page
dc.creatorLaamara, R. Ahl
dc.creatorBelhaj, A.
dc.creatorDrissi, L. B.
dc.creatorSaidi, E. H.
dc.date2006-11-27
dc.date2006-12-01
dc.date.accessioned2026-07-07T11:59:28Z
dc.date.available2026-07-07T11:59:28Z
dc.descriptionMotivated by studies on 4d black holes and q-deformed 2d Yang Mills theory, and borrowing ideas from compact geometry of the blowing up of affine ADE singularities, we build a class of local Calabi-Yau threefolds (CY^{3}) extending the local 2-torus model \mathcal{O}(m)\oplus \mathcal{O}(-m)\to T^{2\text{}} considered in hep-th/0406058 to test OSV conjecture. We first study toric realizations of T^{2} and then build a toric representation of X_{3} using intersections of local Calabi-Yau threefolds \mathcal{O}(m)\oplus \mathcal{O}(-m-2)\to \mathbb{P}^{1}. We develop the 2d \mathcal{N}=2 linear σ-model for this class of toric CY^{3}s. Then we use these local backgrounds to study partition function of 4d black holes in type IIA string theory and the underlying q-deformed 2d quiver gauge theories. We also make comments on 4d black holes obtained from D-branes wrapping cycles in \mathcal{O}(\mathbf{m}) \oplus \mathcal{O}(\mathbf{-m-2}%) \to \mathcal{B}_{k} with \mathbf{m=}(m_{1},...,m_{k}) a k-dim integer vector and \mathcal{B}_{k} a compact complex one dimension base consisting of the intersection of k 2-spheres S_{i}^{2} with generic intersection matrix I_{ij}. We give as well the explicit expression of the q-deformed path integral measure of the partition function of the 2d quiver gauge theory in terms of I_{ij}.
dc.description36 pages, latex, 9 figures. References added
dc.identifierhttps://arxiv.org/abs/hep-th/0611289
dc.identifierhttp://arxiv.org/abs/hep-th/0611289
dc.identifierNucl.Phys.B776:287-326,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.03.047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206570
dc.subjectHigh Energy Physics - Theory
dc.titleBlack Holes in Type IIA String on Calabi-Yau Threefolds with Affine ADE Geometries and q-Deformed 2d Quiver Gauge Theories
dc.typetext

Files

Collections

arXiv