English

Quantum 3D Superstrings

High Energy Physics - Theory 2013-05-29 v5 Mathematical Physics math.MP

Abstract

The classical Green-Schwarz superstring action, with N=1 or N=2 spacetime supersymmetry, exists for spacetime dimensions D=3,4,6,10, but quantization in the light-cone gauge breaks Lorentz invariance unless either D=10, which leads to critical superstring theory, or D=3. We give details of results presented previously for the bosonic and N=1 closed 3D (super)strings and extend them to the N=2 3D superstring. In all cases, the spectrum is parity-invariant and contains anyons of irrational spin.

Keywords

Cite

@article{arxiv.1106.1374,
  title  = {Quantum 3D Superstrings},
  author = {Luca Mezincescu and Paul K. Townsend},
  journal= {arXiv preprint arXiv:1106.1374},
  year   = {2013}
}

Comments

46 pages, v5 corrects more typos and minor errors

R2 v1 2026-06-21T18:19:00.868Z