S-duality and noncommutative gauge theory

Abstract

It is conjectured that strongly coupled, spatially noncommutative N = 4 Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for

From noncommutative bosonization to S-duality

“…On the other hand, we are dealing with simple bosonic theories which do not have immediate brane realizations. After this paper was concluded, two pre-prints appeared that describe S-duality in noncommutative gauge theories [16,17], and therefore have a closer connection to the string theory description [4]. What we would like to stress from our work is that not only it provides a construction which does not rely on any string theory connection, but it also allows for an explicit and exact treatment.…”

“…Note that the determinant is evaluated with respect to the -product (we will shortly use the fact that this determinant was computed in [19]). Introduce the connection 17) such that the field strengths of b µ and s µ are related according to:…”

Strings in background electric field, space/time noncommutativity and a new noncritical string theory

“…As we were completing this work we learned of a closely related work by R. Gopakumar, J. Maldacena, S. Minwalla and A. Strominger [8].…”

Monopoles and strings in noncommutative gauge theory

“…Finally, by applying S-duality [14] one could map the solution we found into the solution describing the electric flux tube, represented by the fundamental string [15]. In this way one may hope to arrive at the description of the confining strings in the noncommutatve Yang-Mills theories.…”

“…In this way one may hope to arrive at the description of the confining strings in the noncommutatve Yang-Mills theories. Notice however, that the S-duality maps the theory with the spatial noncommutativity to that of the temporal noncommutativity, with all its surprises [16] [17], in addition to the strong coupling [14].…”