Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-07-23
Nucl.Phys. B513 (1998) 119-174
Physics
High Energy Physics
High Energy Physics - Theory
70 pages, LaTeX, 13 figures. Minor changes, references added
Scientific paper
10.1016/S0550-3213(97)00754-2
Type IIA brane configurations are used to construct N=2 supersymmetric gauge theories in two dimensions. Using localization of chiral multiplets in ten-dimensional spacetime, supersymmetric non-linear sigma models with target space such as $\CP^{n-1}$ and the Grassmann manifolds are studied in detail. The quantum properties of these models are realized in $M$ theory by taking the strong Type IIA coupling limit. The brane picture implies an equivalence between the parameter space of N=2 supersymmetric theories in two dimensions and the moduli space of vacua of N=2 supersymmetric gauge theories in four dimensions. Effects like level-rank duality are interpreted in the brane picture as continuation past infinite coupling. The BPS solitons of the $\CP^{n-1}$ model are identified as topological excitations of a membrane and their masses are computed. This provides the brane realization of higher rank tensor representations of the flavor group.
Hanany Amihay
Hori Kentaro
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