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arXiv · hep-th/9806177

Brane Box Realization of Chiral Gauge Theories in Two Dimensions

H. Garcia-Compean·A. M. Uranga
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Abstract

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 $\IC^4/Γ$ singularities, with $Γ$ 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.

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H. Garcia-Compean, A. M. Uranga. 1998-07-08. Brane Box Realization of Chiral Gauge Theories in Two Dimensions. https://doi.org/10.1016/s0550-3213(98)00725-1

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