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Matrix theory interpretation of discrete light cone quantization string worldsheets

Grignani1, Orland, Paniak

  • 1Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA.

Physical Review Letters
|October 13, 2000
PubMed
Summary
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We prove that string theory worldsheets match M theory instantons at finite temperatures. This confirms the matrix-string model

Area of Science:

  • Theoretical physics
  • String theory
  • Quantum gravity

Background:

  • Type-IIA string perturbation theory at finite temperature.
  • Matrix-string model as a conjectured description of M theory.

Purpose of the Study:

  • To study the null compactification of type-IIA string perturbation theory.
  • To establish the identity of moduli spaces in superstring worldsheets and matrix-string instantons.

Main Methods:

  • Proof of a theorem concerning Riemann surfaces.
  • Analysis of moduli spaces of infinite-momentum-frame superstring worldsheets.
  • Comparison with branched-cover instantons in the matrix-string model.

Main Results:

  • The moduli spaces of superstring worldsheets are identical to those of branched-cover instantons in the matrix-string model.

Related Experiment Videos

  • Confirmation of the identification of string degrees of freedom in the matrix model.
  • Generalization produces the moduli space of Riemann surfaces at all orders in the genus expansion.

    • Conclusions:

    • The matrix-string model correctly describes M theory.
    • The proposed identification of string degrees of freedom is validated.
    • The framework extends to all orders in the genus expansion for Riemann surfaces.