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Duality Cascade and Oblique Phases in Non-Commutative Open String Theory

Chang S. Chan·Akikazu Hashimoto·Herman Verlinde
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Abstract

We investigate the complete phase diagram of the decoupled world-sheet theory of (P,Q) strings. These theories include 1+1 dimensional super Yang-Mills theory and non-commutative open string theory. We find that the system exhibits a rich fractal phase structure, including a cascade of alternating supergravity, gauge theory, and matrix string theory phases. The cascade proceeds via a series of SL(2,Z) S-duality transformations, and depends sensitively on P and Q. In particular, we find that the system may undergo multiple Hagedorn-type transitions as the temperature is varied.

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Chang S. Chan, Akikazu Hashimoto, Herman Verlinde. 2001-08-07. Duality Cascade and Oblique Phases in Non-Commutative Open String Theory. https://doi.org/10.1088/1126-6708%2F2001%2F09%2F034

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