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Spacetime supersymmetry in low-dimensional perturbative heterotic compactifications

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arxiv 1707.04613 v2 pith:PAMOK4EZ submitted 2017-07-14 hep-th

classification hep-th
keywords spacetimesupersymmetryconstructiondimensionsheteroticperturbativethereworldsheet
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. $\mathcal{SW}$-algebras and strings with torsion

    hep-th 2024-12 conditional novelty 6.0 of 10

    For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.

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