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Unifying Type-II Strings by Exceptional Groups.

Alex S Arvanitakis1, Chris D A Blair2

  • 1The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom.

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We developed an exceptional sigma model using exceptional field theory (EFT) to describe supergravity backgrounds. This model uniquely determines couplings to gauge fields without supersymmetry, linking to string theory actions.

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Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • String Theory

Background:

  • Exceptional field theory (EFT) unifies metric and form fields in supergravity.
  • EFT provides a manifestly covariant framework for supergravity backgrounds before compactification.

Purpose of the Study:

  • To construct a two-dimensional sigma model coupled to supergravity backgrounds using EFT.
  • To uniquely determine the Weyl-invariant Lagrangian and its couplings to gauge fields.

Main Methods:

  • Formulation of a sigma model within the exceptional field theory framework.
  • Analysis of world sheet symmetries to fix the Lagrangian.
  • Relating the constructed action to known type-IIA and type-IIB string theory actions.

Main Results:

  • A unique, Weyl-invariant Lagrangian for the exceptional sigma model was derived.
  • The model successfully relates to type-IIA fundamental string and type-IIB (m, n) actions.
  • The construction correctly predicts couplings to gauge fields in Neveu-Schwarz and Ramond sectors.

Conclusions:

  • The exceptional sigma model provides a unified description of supergravity backgrounds.
  • The EFT framework naturally incorporates string theory actions and gauge field couplings.
  • Supersymmetry is not required to determine these fundamental couplings.