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1+1 dimensional compactifications of string theory.

Naureen Goheer1, Matthew Kleban, Leonard Susskind

  • 1Korea Institute for Advanced Study and Department of Mathematics and Applied Mathematics, University of Cape Town, 7701 Rondebosch, Cape Town, South Africa.

Physical Review Letters
|June 1, 2004
PubMed
Summary
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Stable string theory compactifications conflict with holography due to inconsistent horizon entropies. Resolving this requires infinite or zero entropy, aligning with spacetime symmetries.

Area of Science:

  • Theoretical Physics
  • String Theory
  • Holography

Background:

  • String theory compactifications aim to reconcile gravity with quantum mechanics.
  • Holography suggests a duality between gravitational theories and lower-dimensional quantum field theories.
  • Horizon entropies in various spacetimes are key observables in quantum gravity.

Purpose of the Study:

  • To investigate the compatibility of stable, maximally symmetric string theory compactifications with holographic principles.
  • To analyze the consistency of finite horizon entropies with spacetime symmetries in Rindler and de Sitter horizons.

Main Methods:

  • Analyzing the symmetries of Rindler and de Sitter spacetimes.
  • Comparing these symmetries with the properties of finite horizon entropies in string theory compactifications.

Related Experiment Videos

  • Extending a previous argument on de Sitter space entropy and symmetries.

    • Main Results:

    • Stable, maximally symmetric string theory compactifications to 1+1 dimensions are in conflict with holography.
    • Finite horizon entropies of Rindler wedges (Minkowski, anti-de Sitter) and de Sitter horizons are inconsistent with their respective symmetries.
    • The conflict is resolved if horizon entropy is either infinite or zero.

    Conclusions:

    • The finiteness of horizon entropy in certain spacetimes is incompatible with maximal symmetry and holography.
    • A resolution requires horizon entropy to be non-finite (infinite or zero).
    • This finding has implications for understanding quantum gravity and the nature of spacetime horizons.