Quantum 3D Superstrings

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.

46 pages, v5 corrects more typos and minor errors

References in corpus (7)

• Anyons from Strings
• Infinite spin particles
• The Berry Phase of D0-Branes
• The Spin-Statistics Theorem for Anyons and Plektons in d=2+1
• Semionic Supersymmetric Solitons
• The Quantum 3D Superparticle
• A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory

Cited by in corpus (20)

• Brane Effective Actions, Kappa-Symmetry and Applications
• Off-shell massive N=1 supermultiplets in three dimensions
• Looking for Integrability on the Worldsheet of Confining Strings
• The Rational Higher Structure of M-theory
• A spin-4 analog of 3D massive gravity
• Yang--Mills Glueballs as Closed Bosonic Strings
• Off-shell higher spin N=2 supermultiplets in three dimensions
• A New Class of Particle in 2+1 Dimensions
• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
• Noncommutativity in (2+1)-dimensions and the Lorentz group
• $T\bar{T}$-deformed Fermionic Theories Revisited
• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• Field theories with (2,0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Integrable sigma models on Riemann surfaces
• 3D Yang-Mills Glueballs vs Closed Effective Strings
• Yang-Baxter deformations of the flat space string
• Equivalence of 3D Spinning String and Superstring
• Extended Poincaré supersymmetry in three dimensions and supersymmetric anyons
• Anyonic glueballs from an effective-string model