Seiberg-Witten Geometry with Various Matter Contents

Details Seiberg-Witten Geometry with Various Matter Contents Seiberg-Witten Geometry with Various Matter Contents

1998-08-05

arxiv.org/abs/hep-th/9808022v1

Nucl.Phys. B537 (1999) 344-360

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTex, 1 figure

Scientific paper

10.1016/S0550-3213(98)00646-4

We obtain the Seiberg-Witten geometry for four-dimensional N=2 gauge theory with gauge group SO(2N_c) (N_c \leq 5) with massive spinor and vector hypermultiplets by considering the gauge symmetry breaking in the N=2 $E_6$ theory with massive fundamental hypermultiplets. In a similar way the Seiberg-Witten geometry is determined for N=2 SU(N_c) (N_c \leq 6) gauge theory with massive antisymmetric and fundamental hypermultiplets. Whenever possible we compare our results expressed in the form of ALE fibrations with those obtained by geometric engineering and brane dynamics, and find a remarkable agreement. We also show that these results are reproduced by using N=1 confining phase superpotentials.

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