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The One Dimensional Matrix Model and Str

Sumit R.Das

2026enmatrix modelsstring theoryrandom surfacesdouble scaling limit2D gravitytachyon

Abstract

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We discuss the basic features of the double scaling limit of the one dimensional matrix model and its interpretation as a two dimensional string theory. Using the collective field theory formulation of the model, we show how the fluctuations of the collective field can be interpreted as the massless 'tachyon' of the two dimensional string in a linear dilaton background. We outline the basic physical properties of the theory and discuss the nature of the S-matrix. Finally, we show that the theory admits of another interpretation in which a certain integral transform of the collective field behaves as the massless 'tachyon' in the two dimensional string with a blackhole background. We show that both the classical background and the fluctuations are non-singular at the black hole singularity.

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Cite This Work

@article{b6ad3497-aa23-43b3-8001-3894e45ea5d4,
  title={The One Dimensional Matrix Model and Str},
  author={Sumit R.Das},
  year={2026},
  language={en}
}
TY  - JOUR
TI  - The One Dimensional Matrix Model and Str
AU  - Sumit R.Das
PY  - 2026
LA  - en
ER  -

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