English

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

High Energy Physics - Theory 2009-11-07 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0107215,
  title  = {Duality Cascade and Oblique Phases in Non-Commutative Open String Theory},
  author = {Chang S. Chan and Akikazu Hashimoto and Herman Verlinde},
  journal= {arXiv preprint arXiv:hep-th/0107215},
  year   = {2009}
}

Comments

21 pages, 4 figures, references added

R2 v1 2026-07-22T15:05:36.312Z