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β Symmetry of Supergravity.

Walter H Baron1, Diego Marqués2, Carmen A Nuñez2

  • 1Instituto de Física La Plata (CONICET-UNLP) Departamento de Matemática, Universidad Nacional de La Plata, La Plata 1900, Argentina.

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Continuous O(d,d) global symmetries appear in string supergravities during Kaluza-Klein reductions. These symmetries act as a hidden bosonic β symmetry, fixing couplings in the D-dimensional parent theory.

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Area of Science:

  • String theory
  • High-energy physics
  • Quantum gravity

Background:

  • Kaluza-Klein reductions are used to unify forces and reduce dimensions in string theory.
  • Continuous O(d,d) global symmetries arise in these reductions.
  • The physical interpretation and implications of these symmetries are not fully understood.

Purpose of the Study:

  • To investigate the role of O(d,d) symmetries in D-dimensional string supergravities.
  • To identify the nongeometric elements of O(d,d) as a specific symmetry in the parent theory.
  • To explicitly derive and verify the transformations associated with this hidden symmetry.

Main Methods:

  • Analysis of Kaluza-Klein reductions of D-dimensional string supergravities.
  • Identification of nongeometric symmetry actions within the D-dimensional theory.
  • Derivation of first-order transformations in α' for the identified symmetry.
  • Verification of action invariance and transformation rule closure.

Main Results:

  • Continuous O(d,d) global symmetries emerge from Kaluza-Klein reductions.
  • The nongeometric aspects of O(d,d) correspond to a hidden bosonic symmetry, termed β symmetry.
  • Explicit β transformations to first order in α' were derived.
  • Invariance of the action and closure of the transformation rules under β symmetry were confirmed.

Conclusions:

  • The β symmetry is a fundamental, hidden bosonic symmetry in D-dimensional string supergravities.
  • This symmetry arises from the nongeometric elements of O(d,d) global symmetries.
  • The findings provide a deeper understanding of symmetries in string theory and their impact on couplings.