Seiberg-Witten geometry with various matter contents

1998/08/05 by Seiji Terashima, Sung-Kil Yang · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/s0550-3213(98)00646-4

published as Nucl.Phys. B537 (1999) 344-360 · 21 pages, LaTex, 1 figure

arxiv created 1998/08/05 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We obtain the Seiberg-Witten geometry for four-dimensional N=2 gauge theory with gauge group SO(2N_c) (N_c ≤ 5) with massive spinor and vector hypermultiplets by considering the gauge symmetry breaking in the N=2 E₆ theory with massive fundamental hypermultiplets. In a similar way the Seiberg-Witten geometry is determined for N=2 SU(N_c) (N_c ≤ 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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