Instanton Counting and Chern-Simons Theory
Iqbal, Amer ; Kashani-Poor, Amir-Kian
Adv. Theor. Math. Phys., Tome 7 (2003) no. 5, p. 457-497 / Harvested from Project Euclid
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The instanton partition function of N = 2, D = 4, SU(2) gauge theory is obtained by taking the field theory limit of the topological open string partition function, given by a Chern-Simons theory, of a CY3-fold. The CY3-fold on the open string side is obtained by geometric transition from local IP1 X IP1 which is used in the geometric engineering of the SU(2) theory. The partition function obtained from the Chern-Simons theory agrees with the closed topological string partition function of local IP1 X IP1 proposed recently by Nekrasov. We also obtain the partition functions for local IF1 and IF2 CY3-folds and show that the topological string amplitudes of all three local Hirzebruch surfaces give rise to the same field theory limit. It is shown that a generalization of the topological closed string partition function whose field theory limit is the generalization of the instanton partition function, proposed by Nekrasov, can be determined easily from the Chern-Simons theory.
Publié le : 2003-05-14
Classification:  
@article{1112627375,
     author = {Iqbal, Amer and Kashani-Poor, Amir-Kian},
     title = {Instanton Counting and Chern-Simons Theory},
     journal = {Adv. Theor. Math. Phys.},
     volume = {7},
     number = {5},
     year = {2003},
     pages = { 457-497},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1112627375}
}

Iqbal, Amer; Kashani-Poor, Amir-Kian. Instanton Counting and Chern-Simons Theory. Adv. Theor. Math. Phys., Tome 7 (2003) no. 5, pp.  457-497. http://gdmltest.u-ga.fr/item/1112627375/