Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-06-21
Nucl.Phys.B539:329-366,1999
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, 10 eps figures, uses harvmac. Minor corrections, footnote on conventions added
Scientific paper
10.1016/S0550-3213(98)00725-1
We study type IIA configurations of D4 branes and three kinds of NS fivebranes. The D4 brane world-volume has finite extent in three directions, giving rise to a two-dimensional low-energy field theory. The models have generically $(0,2)$ supersymmetry. We determine the rules to read off the spectrum and interactions of the field theory from the brane box configuration data. We discuss the construction of theories with enhanced $(0,4)$, $(0,6)$ and $(0,8)$ supersymmetry. Using T-duality along the directions in which the D4 branes are finite, the configuration can be mapped to D1 branes at $\IC^4/\Gamma$ singularities, with $\Gamma$ an abelian subgroup of SU(4). This provides a rederivation of the rules in the brane box model. The enhancement of supersymmetry has a nice geometrical interpretation in the singularity picture in terms of the holonomy group of the four-fold singularity.
García-Compeán Héctor
Uranga Angel M. .
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