Comments on fractional instantons in N=2 gauge theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Published version (paper shortened to satisfy the requirements of Phys. Lett. B; see v1 for original-length paper)

Scientific paper

10.1016/S0370-2693(01)00827-9

N=1^* gauge theories are believed to have fractional instanton contributions in the confining vacua. D3 brane probe computations in gravitation dual of large-N N=2^* gauge theories point to the absence of such contributions in the low energy gauge dynamics. We study fractional instantons in N=2 SU(2) Yang-Mills theory from the field theoretical perspective. We present new solutions to the Seiberg-Witten SU(2) monodromy problem with the same perturbative asymptotic, a massless monopole and a dyon singularity on the moduli space, and fractional instanton corrections to N=2 prepotential in the semi-classical region of the moduli space. We show that fractional instantons lead to infinite monopole (dyon) condensate in mass deformed N=2 gauge theories.

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