English

Spacetime supersymmetry in low-dimensional perturbative heterotic compactifications

High Energy Physics - Theory 2018-07-04 v2

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.

Keywords

Cite

@article{arxiv.1707.04613,
  title  = {Spacetime supersymmetry in low-dimensional perturbative heterotic compactifications},
  author = {Ilarion V. Melnikov and Ruben Minasian and Savdeep Sethi},
  journal= {arXiv preprint arXiv:1707.04613},
  year   = {2018}
}

Comments

27 pages; D=2 mistake corrected; typos fixed and references added

R2 v1 2026-06-22T20:47:32.173Z