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Contributions à l'Etude du Vertex Topologique en Théorie ... - Toubkal

Contributions à l'Etude du Vertex Topologique en Théorie ... - Toubkal

Contributions à l'Etude du Vertex Topologique en Théorie ... - Toubkal

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L.B. Drissi et al. / Nuclear Physics B 804 [PM] (2008) 307–341 341[33] M. Taki, Refined topological vertex and instanton counting, hep-th/0710.1776.[34] N.A. Nekrasov, Seiberg–Witt<strong>en</strong> prepot<strong>en</strong>tial from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831, hep-th/0206161.[35] N. Nekrasov, A. Okounkov, Seiberg–Witt<strong>en</strong> theory and random partitions, hep-th/0306238.[36] H. Nakajima, K. Yoshioka, Instanton counting on blowup. I. 4-dim<strong>en</strong>sional pure gauge theory, Inv<strong>en</strong>t. Math. 162 (2)(2005) 313, math.AG/0306198.[37] A. Braverman, P. Etingof, Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg–Witt<strong>en</strong> prepot<strong>en</strong>tial, math.AG/0409441.[38] A. Iqbal, A.K. Kashani-Poor, Instanton counting and Chern–Simons theory, Adv. Theor. Math. Phys. 7 (2004) 457,hep-th/0212279;A. Iqbal, A.K. Kashani-Poor, SU(N) geometries and topological string amplitudes, Adv. Theor. Math. Phys. 10(2006) 1, hep-th/0306032.[39] T. Eguchi, H. Kanno, Topological strings and Nekrasov’s formulas, JHEP 0312 (2003) 006, hep-th/0310235.[40] T.J. Hollowood, A. Iqbal, C. Vafa, Matrix models, geometric <strong>en</strong>gineering and elliptic g<strong>en</strong>era, hep-th/0310272.[41] C. Vafa, Two-dim<strong>en</strong>sional Yang–Mills, black holes and topological strings, hep-th/0406058.[42] N. Caporaso, M. Cirafici, L. Griguolo, S. Pasquetti, D. Seminara, R.J. Szabo, Topological strings, two-dim<strong>en</strong>sionalYang–Mills theory and Chern–Simons theory on torus bundles, hep-th/0609129.[43] R. Ahl Laamara, A. Belhaj, L.B. Drissi, E.H. Saidi, Black holes in type IIA string on Calabi–Yau threefolds withaffine ADE geometries and q-deformed 2d quiver gauge theories, Nucl. Phys. B 776 (2007) 287–326, hep-th/0611289.[44] S. Katz, P. Mayr, C. Vafa, Mirror symmetry and exact solution of 4D N = 2 gauge theories I, Adv. Theor. Math.Phys. 1 (1998) 53–114, hep-th/9706110.[45] M. Ait B<strong>en</strong> Haddou, A. Belhaj, E.H. Saidi, Geometric <strong>en</strong>gineering of N = 2CFT 4 s based on indefinite singularities:Hyperbolic case, Nucl. Phys. B 674 (2003) 593–614, hep-th/0307244.[46] R. Ahl Laamara, M. Ait B<strong>en</strong> Haddou, A. Belhaj, L.B. Drissi, E.H. Saidi, RG cascades in hyperbolic quiver gaugetheories, Nucl. Phys. B 702 (2004) 163–188, hep-th/0405222.[47] E. Witt<strong>en</strong>, Phases of N = 2 theories in two dim<strong>en</strong>sions, Nucl. Phys. B 403 (1993) 159–222, hep-th/9301042.[48] N.C. Leung, C. Vafa, Branes and toric geometry, Adv. Theor. Math. Phys. 2 (1998) 91–118, hep-th/9711013.[49] L.B. Drissi, H. Jehjouh, E.H. Saidi, Topological string on local elliptic curve with large complex structure, Afr. J.Math. Phys. 6 (2008) 83–91.[50] L.B. Drissi, H. Jehjouh, E.H. Saidi, G<strong>en</strong>eralized MacMahon G(q) as q-deformed CFT correlation function, Nucl.Phys. B 801 (2008) 316, arXiv: 0801.2661.[51] S. Katz, P. Mayr, C. Vafa, Mirror symmetry and exact solution of 4D N = 2 gauge theories I, Adv. Theor. Math.Phys. 1 (1998) 53–114, hep-th/9706110.[52] A. Belhaj, A. Elfallah, E.H. Saidi, On the non-simply laced mirror geometries in type II strings, Class. QuantumGrav. 17 (2000) 515–532;A. Belhaj, A. Elfallah, E.H. Saidi, On the affine D(4) mirror geometry, Class. Quantum Grav. 16 (1999) 3297–3306.

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