On Noncommutative Open String Theories

Abstract

We investigate new compactifications of OM theory giving rise to a 3+1 dimensional open string theory with noncommutative $x^0$-$x^1$ and $x^2$-$x^3$ coordinates. The theory can be directly obtained by starting with a D3 brane with parallel (near critical) electric and magnetic field components, in the presence of a RR scalar field. The magnetic parameter permits to interpolate continuously between the $x^0$-$x^1$ noncommutative open string theory and the $x^2$-$x^3$ spatial noncommutative U(N) super Yang-Mills theory. We discuss $SL(2,Z)$ transformations of this theory. Using the supergravity description of the large $N$ limit, we also compute corrections to the quark-antiquark Coulomb potential arising in the NCOS theory.

latex, 22pages, one eps figure, v3: minor changes and corrections

References in corpus (6)

• Space-Time Noncommutative Field Theories And Unitarity
• OM Theory in Diverse Dimensions
• Supergravity and Space-Time Non-Commutative Open String Theory
• Stringy Fuzziness as the Custodian of Time-Space Noncommutativity
• Duality and Non-Commutative Gauge Theory
• Comments on Noncommutative Open String Theory: V-duality and Holography

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