Seiberg-Witten Geometry with Various Matter Contents

Abstract

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.

21 pages, LaTex, 1 figure

References in corpus (5)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• N=2 Supersymmetric Gauge Theories, Branes and Orientifolds
• New Curves from Branes
• Exact solutions for some N=2 supersymmetric SO(N) gauge theories with vectors and spinors
• Exceptional Seiberg-Witten Geometry with Massive Fundamental Matters

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• The M theory lift of two O6 planes and four D6 branes
• Seiberg-Witten for $Spin(n)$ with Spinors
• A mathematical formalism for the Kondo effect in WZW branes