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Exceptional form of D=11 supergravity.

Olaf Hohm1, Henning Samtleben2

  • 1Arnold Sommerfeld Center for Theoretical Physics, Theresienstrasse 37, D-1-80333 Munich, Germany.

Physical Review Letters
|January 31, 2014
PubMed
Summary
This summary is machine-generated.

Eleven-dimensional supergravity gains exceptional symmetries through an extended spacetime formulation. This approach reveals the geometric origin of U-duality groups in M theory.

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Area of Science:

  • Theoretical physics
  • High-dimensional theories
  • Supergravity and M theory

Background:

  • Eleven-dimensional supergravity exhibits large exceptional symmetries upon compactification.
  • The geometric origin of these U-duality symmetries in M theory remains unexplained.
  • Existing formulations do not fully capture these symmetries.

Purpose of the Study:

  • To extend D=11 supergravity to be fully covariant under exceptional groups E(n(n)), n=6, 7, 8.
  • To uncover the higher-dimensional geometric origin of these symmetries.
  • To provide a unified framework for supergravity theories.

Main Methods:

  • Introduction of an extended "exceptional spacetime" concept.
  • Development of an E(6(6)) covariant formulation of D=11 supergravity.
  • Analysis of the embedding of D=11 supergravity into a higher-dimensional theory.

Main Results:

  • Demonstration of full covariance under exceptional groups E(6(6)), E(7(7)), and E(8(8)).
  • Explicit construction of the E(6(6)) covariant form of D=11 supergravity without truncation.
  • Embedding of D=11 supergravity into an E(6(6)) covariant 5+27 dimensional theory.
  • Evidence that this covariant form includes type IIB supergravity.

Conclusions:

  • The extended exceptional spacetime provides the geometric origin for exceptional symmetries in supergravity.
  • This framework offers a unified description of D=11 supergravity and type IIB supergravity.
  • The covariant formulation paves the way for further exploration of M theory dualities.