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Branes, geometry and N = 1 duality with product gauge groups of SO and Sp |
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| Authors: | Changhyun Ahn Kyungho Oh Radu Tatar |
| Institution: | a APCTP, 207-43 Cheongryangri-dong, Dongdaemun-gu, Seoul 130-012, South Korea b Department of Physics, Seoul National University, Seoul 151-742, South Korea c Department of Mathematics, University of Missouri-St., St. Louis, MO 63121, USA d Department of Physics, University of Miami, Coral Gables, FL 33146, USA |
| Abstract: | We study N = 1 dualities in four-dimensional supersymmetric gauge theories as the world volume theory of D4 branes with one compact direction in type IIA string theory. We generalize the previous work for SO(Nc1) × Sp(Nc2) with the superpotential W = TrX4 to the case of W = TrX4(k+1) in terms of brane configuration. We conjecture that the new dualities for the product gauge groups of SO(Nc1) × Sp(Nc2) × SO(Nc3), SO(Nc1) × Sp(Nc2) × SO(Nc3) × Sp(Nc4) 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. |
| Keywords: | Branes Gauge theory |
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