Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-07-02
J.Geom.Phys. 31 (1999) 301-322
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, latex, 6 figures, 4 tables, 1 appendix, v2: changed the sign of A^5 in page 4, corrected geometric configuration of
Scientific paper
10.1016/S0393-0440(99)00017-0
We study N=1 dualities in four dimensional supersymmetric gauge theories as the worldvolume theory of D4 branes with one compact direction in type IIA string theory. We generalize the previous work for SO(N_{c1}) x Sp(N_{c2}) with the superpotential W=Tr X^4 to the case of W= Tr X^4(k+1) in terms of brane configuration. We conjecture that the new dualities for the product gauge groups of SO(N_{c1}) x Sp(N_{c2}) x SO(N_{c3}), SO(N_{c1}) x Sp(N_{c2}) x SO(N_{c3}) x Sp(N_{c4}) and higher multiple product gauge groups can be obtained by reversing the ordering of NS5 branes and D6 branes while preserving the linking numbers. We also describe the above dualities in terms of wrapping D6 branes around 3 cycles of Calabi-Yau threefolds in type IIA string theory. The theory with adjoint matter can be regarded as taking multiple copies of NS5 brane in the configuration of brane or geometric approaches.
Ahn Changhyun
Oh Kyungho
Tatar Radu
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