How to calculate the correlation function in SYM N=2, $N_f=4$ QFT on complex projective plane

Physics – High Energy Physics – High Energy Physics - Theory

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21 page, LaTeX 2.09 with some pictures drowed by EmTeX \em:special-commands. Additional style files diagram.sty and auxdefs.st

Scientific paper

We explain how to calculate the correlation function for SYM N=2 SO(3)-gauge QFT with 4 flavors in terms of top Chern classes of the universal bundles over the moduli spaces of rank 2 stable torsion free coherent sheaves with det=-1 on the complex projective plane. We give a direct geometrical description of these moduli spaces, study a 2-dimensional torus action on them, and calculate several initial coefficients of the correlation function via Bott residue formula.

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