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Anyons from strings.

Luca Mezincescu1, Paul K Townsend

  • 1Department of Physics, University of Miami, Coral Gables, Florida 33124, USA.

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

Quantizing the Nambu-Goto string in 3D Minkowski spacetime reveals anyons in massive states. A superstring resolves ground state energy ambiguity, yielding massless dilaton and dilatino states.

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Area of Science:

  • Theoretical Physics
  • String Theory
  • Quantum Field Theory

Background:

  • The Nambu-Goto string theory is a fundamental framework in theoretical physics.
  • Quantization of string theory in lower dimensions presents unique challenges.
  • Understanding spacetime symmetries like Lorentz invariance and parity is crucial.

Purpose of the Study:

  • To quantize the Nambu-Goto string in 3D Minkowski spacetime while preserving key symmetries.
  • To investigate the particle spectrum, particularly massive states and their properties.
  • To resolve ambiguities in the ground state energy using superstring theory.

Main Methods:

  • Application of quantization techniques to the Nambu-Goto string.
  • Analysis of the resulting spectrum for massive states.
  • Utilizing the 3D N=1 Green-Schwarz superstring to address ground state energy issues.

Main Results:

  • The quantized string spectrum includes anyons in its massive states.
  • The 3D N=1 Green-Schwarz superstring resolves the ground state energy ambiguity.
  • Massless ground states correspond to a dilaton and dilatino.
  • First-excited states exhibit a spin of 1/4.

Conclusions:

  • The quantization of the 3D Nambu-Goto string leads to novel states, including anyons.
  • Superstring theory provides a consistent framework for resolving ambiguities in string quantization.
  • The identified massless and excited states offer insights into the fundamental structure of strings in 3D spacetime.