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Green-Schwarz Mechanism for String Dualities.

Camille Eloy1, Olaf Hohm2, Henning Samtleben1

  • 1Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France.

Physical Review Letters
|March 24, 2020
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Summary
This summary is machine-generated.

This study details the spacetime action for bosonic string theory, revealing a required Green-Schwarz mechanism for T-duality symmetry. This work simplifies the action for compactified string theories on tori.

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Area of Science:

  • Theoretical Physics
  • String Theory
  • Quantum Field Theory

Background:

  • Bosonic string theory compactified on a d-dimensional torus involves massless fields.
  • Understanding the spacetime action is crucial for theoretical physics.

Purpose of the Study:

  • To determine the complete spacetime action to first order in α^{'} for bosonic string theory.
  • To develop a systematic procedure for minimizing the action.
  • To investigate the implications of T-duality symmetry on the action.

Main Methods:

  • Systematic procedure to minimize the action, reducing field derivatives.
  • Analysis of T-duality implications, requiring a global O(d,d,R) symmetry.
  • Application of a frame formalism with GL(d)×GL(d) gauge symmetry.

Main Results:

  • The spacetime action is determined to first order in α^{'} for compactified bosonic string theory.
  • A minimal form of the action is achieved where fields (except the metric) have only first-order derivatives.
  • A Green-Schwarz type mechanism is required for α^{'}-deformed O(d,d,R) transformations due to T-duality.
  • The three-form curvature is modified by a Chern-Simons term for composite gauge fields.

Conclusions:

  • The study provides a complete spacetime action for bosonic string theory compactified on a torus.
  • The findings necessitate a specific mechanism to reconcile T-duality with the derived action.
  • This work offers a simplified and consistent framework for studying string theory compactifications.