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arXiv · 1707.04613

Spacetime supersymmetry in low-dimensional perturbative heterotic compactifications

Ilarion V. Melnikov·Ruben Minasian·Savdeep Sethi
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Abstract

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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Ilarion V. Melnikov, Ruben Minasian, Savdeep Sethi. 2018-01-18. Spacetime supersymmetry in low-dimensional perturbative heterotic compactifications. https://doi.org/10.1002/prop.201800027

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