Matrix Strings, Compactification Scales and Hagedorn Transition

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 12 pages. Final version to appear in PLB. Also available from http://condmat1.ciencias.uniovi.es

Scientific paper

10.1016/S0370-2693(98)01559-7

In this work we use the Matrix Model of Strings in order to extract some non-perturbative information on how the Hagedorn critical temperature arises from eleven-dimensional physics. We study the thermal behavior of M and Matrix theories on the compactification backgrounds that correspond to string models. We obtain some information that allows us to state that the Hagedorn temperature is not unique for all Matrix String models and we are also able to sketch how the $S$-duality transformation works in this framework.

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