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Quantum Correction to Generalized T Dualities.

Riccardo Borsato1, Linus Wulff2

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Poisson-Lie duality extends to higher orders in string theory, including α′ corrections. This involves correcting the duality map using anomalous Lorentz transformations for a more complete description.

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Area of Science:

  • String theory
  • Theoretical physics
  • High-energy physics

Background:

  • Poisson-Lie duality generalizes T-duality, mapping string theory solutions at the supergravity level.
  • Current understanding is limited to low-energy effective equations.

Purpose of the Study:

  • To extend Poisson-Lie duality to the next order in α′ (two-loop level).
  • To investigate the α′ corrections to the duality map.

Main Methods:

  • Analyzing σ-model perturbation theory at two loops.
  • Investigating anomalous Lorentz transformations in a doubled O(D,D)-covariant formulation.

Main Results:

  • The Poisson-Lie duality map can be corrected to include α′ corrections.
  • Anomalous Lorentz transformations are key to this correction.

Conclusions:

  • Poisson-Lie duality is valid beyond the supergravity approximation.
  • The corrected map provides a more comprehensive description of string theory dualities.