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Duality cascade and oblique phases in non-commutative open string theory

Chang S. Chan1, Akikazu Hashimoto2 and Herman Verlinde1

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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,Bbb 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

AdS-CFT and dS-CFT Correspondence

Non-Commutative Geometry

 

E-print Number: hep-th/0107215

Cited: by |

Refers: to

PACS

11.10.Nx Noncommutative field theory

02.40.Gh Noncommutative geometry

11.25.Yb M theory

11.15.-q Gauge field theories

11.25.Sq Nonperturbative techniques; string field theory

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 09 ( 1 September 2001)

Received 7 August 2001, accepted for publication 27 September 2001

Published 16 October 2001



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