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Nondecoupling of maximal supergravity from the superstring.

Michael B Green1, Hirosi Ooguri, John H Schwarz

  • 1Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge CB3 0WA, United Kingdom.

Physical Review Letters
|August 7, 2007
PubMed
Summary
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Maximal supergravity can be obtained from string theory in 2 and 3 dimensions. However, in higher dimensions, extra states prevent decoupling, suggesting N=8 supergravity is in the Swampland.

Area of Science:

  • Theoretical Physics
  • String Theory
  • Supergravity

Background:

  • Maximal supergravity theories describe fundamental interactions with high degrees of symmetry.
  • Type II superstring theory is a leading candidate for a unified theory of physics, incorporating gravity and quantum mechanics.
  • Compactification of extra dimensions is a key mechanism for deriving lower-dimensional theories from string theory.

Purpose of the Study:

  • To investigate the conditions for obtaining perturbative maximal supergravity as a decoupling limit of type II superstring theory.
  • To determine the dimensional constraints for this decoupling in toroidal compactifications.
  • To explore the implications for the validity of supergravity theories in different dimensions.

Main Methods:

  • Analyzing the spectrum of type II superstring theory compactified on a (10-d) torus.

Related Experiment Videos

  • Identifying conditions for the decoupling of massive string states.
  • Examining the presence of additional massless and massive states in the Kaluza-Klein spectrum.

    • Main Results:

    • Perturbative maximal supergravity can be obtained in d=2 and d=3 dimensions.
    • Infinite towers of additional massless and massive states arise in dimensions d>=4.
    • These extra states include Kaluza-Klein charges, wound strings, and branes.

    Conclusions:

    • Perturbative supergravity cannot be decoupled from string theory in dimensions greater than or equal to 4.
    • Pure N=8 supergravity in four dimensions is conjectured to reside in the Swampland.
    • The Swampland hypothesis suggests that certain effective field theories are inconsistent with quantum gravity.