Anyons from Strings

Abstract

The Nambu-Goto string in a 3-dimensional (3D) Minkowski spacetime is quantized preserving Lorentz invariance and parity. The spectrum of massive states contains anyons. An ambiguity in the ground state energy is resolved by the 3D N=1 Green-Schwarz superstring, which has massless ground states describing a dilaton and dilatino, and first-excited states of spin 1/4.

4 pages, two additional refs. in v2

References in corpus (1)

• N=1, D=3 Superanyons, osp(2|2) and the Deformed Heisenberg Algebra

Cited by in corpus (31)

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• An Action for Extended String Newton-Cartan Gravity
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• Quantum 3D Superstrings
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• Noncommutativity in (2+1)-dimensions and the Lorentz group
• Duality, matroids, qubits, twistors and surreal numbers
• The Quantum 3D Superparticle
• Quantization of the Zigzag Model
• Integrable sigma models on Riemann surfaces
• Generalized Elko Theory
• Quantum 3D Tensionless String in Light-cone Gauge
• 3D strings and other anyonic things
• Some Mathematical and Physical Remarks on Surreal Numbers
• 3D Yang-Mills Glueballs vs Closed Effective Strings
• Yang-Baxter deformations of the flat space string
• Anomaly of Tensionless String in Light-cone Gauge
• Extended Poincaré supersymmetry in three dimensions and supersymmetric anyons
• Equivalence of 3D Spinning String and Superstring
• Anyonic glueballs from an effective-string model