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Lectures on open strings, and noncommutative Gauge theories

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_14/P_02_14.pdf

Abstract :The background independent formulation of the gauge theories on D-branes in flat space-time is considered, some examples of the solutions of their equations of motion are presented, the solutions of Dirac equation in these backgrounds are…

Mots-clés: 2002, BOGOLYUBOV, CHAMPS DE JAUGE, CHAN, CONNES, DIRAC, DOLAN, EN, EUCLIDE, HEISENBERG, HILBERT, KAHLER, MILLS, MINKOWSKI, MODELES DES CORDES VIBRANTES, NAPPI, NEKRASOV, PATON, PHYSIQUE, PREPUBLICATION, WEYL, YANG

Trieste lectures on solitons in noncommutative Gauge theories

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_18/P_02_18.pdf

Abstract : We present a pedagogical introduction into noncommutative gauge theories, their stringy origin, and non-perturbative effects, including monopole and instanton solutions.

Mots-clés: 'T HOOFT, 2002, ATIYAH, BIANCI, BOGOMOLNY, BORN, CHAMPS DE JAUGE, CHAN, CHARLIER, CHERN, DERHAM, DIRAC, DIRICHLET, DOUGLAS, DRINFELD, EN, EUCLIDE, EULER, FOCK, FREDHOLM, GELFAND, GIESEKER, GROJNOWSKI, GROSS, GROTHENDIECK, HEISENBERG, HIGGS, HILBERT, HITCHIN, HODGE, HULL, INFELD, JACOBI, LEIBNITZ, LIE, LOSEV, MANIN, MAXWELL, MILLS, MINKOWSKI, MOORE, MOYAL, NAHM, NAKAJIMA, NEKRASOV, NEUMANN, NEVEU, PATON, PHYSIQUE, POISSON, POLCHINSKI, POLYAKOV, PREPUBLICATION, ROSLY, SCHWARZ, SEIBERG, SELIVANOV, SHATASHVILI, SIMONS, SOLITONS, TODA, WILSON, WITTEN, YANG

Noncommutative instantons revisited

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_19/P_02_19.pdf

Abstract : We find a new gauge in which U(1) noncommutative instantons are explicitly non-singular on noncommutative R^4. We also present a pedagogical introduction to the noncommutative gauge theories.

Mots-clés: 2002, ABEL, CHAMPS DE JAUGE, DIRAC, EN, EUCLIDE, FOCK, FREDHOLM, GELFAND, GROTHENDIECK, HEISENBERG, HILBERT, INSTANTONS, JORDAN, KAHLER, MILLS, MORITA, NEKRASOV, NEUMANN, PFAFF, PHYSIQUE, POISSON, PREPUBLICATION, SERRE, SWAN, YANG

Target space symmetries in topological theories I.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_20/P_02_20.pdf

Abstract : We study realization of the target space diffeomorphisms in the type C topological string. We found that the charges, which generate transformations of the boundary observables, form an algebra, which differs from that of bulk charges by…

Mots-clés: 2002, BATALIN, BAULIEU, DIFFEOMORPHISMES, EN, ESPACE, FADDEEV, FEYNAMN, HAMILTON, HODGE, JACOBI, KONTSEVICH, LAGRANGE, LIE, LOSEV, MOYAL, NEKRASOV, POISSON, POPOV, PREPUBLICATION, RICCI, RIEMANN, SEIBERG, STOKES, SYMETRIE, THEORIE DES CHAMPS, TOPOLOGIE, VILKOVISKY, WESS, WITTEN, ZUMINO

Seiberg-Witten prepotential from instanton counting

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/NEKRASOV/2001-2004/P_02_44/P_02_44.pdf

Abstract : Direct evaluation of the Seiberg-Witten prepotential is accomplished following the localization programme suggested some time ago. Our results agree with all low-instanton calculations available in the literature. We present a…

Mots-clés: 'T HOOFT, 2002, ATIYAH, BOTT, CALABI, CARTAN, CHAMPS DE JAUGE, CHAN, DIRAC, DUISTERMAAT, EN, EURLER, HAMILTON, HECKMAN, HIGGS, HILBERT, INVARIANTS DE SEIBERG-WITTEN, LIE, LORENTZ, MATTAI, NAKAJIMA, NEKRASOV, PATON, PREPUBLICATION, QUILLEN, SCHWINGER, SIEBERG, SINGER, THEORIE DES CHAMPS, THOM, TODA, UHLENBECK, VERLINDE, WILSON, WITTEN, YAU, YOUNG