We study the constraints of spacetime supersymmetry for perturbative three– and two–dimensional Minkowski vacua of the critical heterotic string. Assuming a standard RNS construction of the spacetime supersymmetry generators and a compact unitary internal superconformal worldsheet theory, we describe the worldsheet structures associated to various spacetime supersymmetries. In three dimensions we show that there are no CFT surprises: each allowed spacetime supersymmetry is realized by a supergravity compactification. As a recent orbifold construction shows, in two dimensions there are more exotic possibilities, and we discuss how these fit into our analysis.
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Abstract -
The Dirac action describes the physics of the Nambu-Goldstone scalarsfound on branes. The Born-Infeld action defines a non-linear theory ofelectrodynamics. The combined Dirac-Born-Infeld (DBI) action describesthe leading interactions supported on a single D-brane in string theory.We define a non-abelian analogue of DBI using the T\bar{T} T T ‾ deformation in two dimensions. The resulting quantum theory iscompatible with maximal supersymmetry and such theories are quiterare.more » « less
