S-Duality and Noncommutative Gauge Theory

By Rajesh Gopakumar, J. Maldacena, Shiraz Minwalla, Andrew Strominger. 2000

256 citations recorded by the source corpus.

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 this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram. The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4d14ac6d035a6ff4d9eac84b3dbaca3d76aae1db

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Citations in the corpus

String theory and string Newton–Cartan geometry (2019, background): “One such limit was introduced in [1–3], which was then formulated by Gomis and Ooguri in [4] as a two-dimensional quantum field theory that is consistent, unitary and ultra-violet complete and that was dubbed nonrelativistic string theory.”
Observables of Non-Commutative Gauge Theories (2000, background): “A different approach to learn about gauge invariant operators in string theories might be to consider the S-dual description of the operators considered here which should be the natural operators in NCOS theories [26, 27, 28].”
Rolling Tachyon (2002, background): “From the general result of [32, 33, 34] it follows that the theory in the presence of the electric field can be related to the theory in the absence of electric field by rescaling the 00 and the 11 components of the metric, changing the overall normalization of the action, and replacing the ordinary”
Nonrelativistic closed string theory (2000, background): “4 This is precisely the NCOS limit of [3,4] but without any D-brane.”
Open and closed string interpretation of SUSY CFT's on branes with boundaries (2001, background): “But since they are turning on the S-dual electric field, as in [10], it is the Frt components that get turned on instead of the Fθφ components.”
Space/time non-commutativity and causality (2000, background): “However as we have seen in [4, 5] the theory in an electric field never becomes a field theory and retains its stringy excitations.”
Komaba Lectures on Noncommutative Solitons and D-Branes (2001, background): “Including temporal noncommutativity introduces new complications which are only resolved in string theory [32,33,34,35].”
D-branes, open string vertex operators, and Ext groups (2002, background): “lthough this twisting of boundary conditions seems to have been largely ignored in most discussions of the open string B model, it has played an important role elsewhere in physics recently (see e.g. [21]). Let us carefully consider how this modiﬁes our analysis of massless Ramond sector states. Bou”
Towards strange metallic holography (2009, background): “As the critical field is approached, the effective value of the open string tension falls as 1/γ(2) [27, 28] and so the effective string length scale grows as γ.”
On theories with light-like noncommutativity (2000, background): “It is interesting to note that in the (3 + 1)-dimensional case the U(k) gauge theoriesthatwendgotothemselvesunderS-duality,unlikethetheorieswithspacelike noncommutativity which are S-dual to non-commutative open string theories (NCOS) [ 8 ].”
Dipoles, Twists and Noncommutative Gauge Theory (2000, background): “It might be reminiscent of the NCOS theories [23, 32].”
Deconstructing (2,0) and Little String Theories (2001, background): “There are likely deconstructions of other non-gravitational theories in five and six dimensions, such as theories with less supersymmetry, [33] and NCOS [34, 35] theory, etc.”
Non-relativistic superstrings: a new soluble sector of AdS5 × S5 (2005, background): “Quantizing open strings on a longitudinal D-brane leads to an AdS version of non-commutative open string theory (NCOS) [9][10].”
Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, background): “This is due to a critical value of the electric field (B0i) on the brane [48, 49].”
OM theory in diverse dimensions (2000, methodology): “The NCOS theories constructed in [3,2] are open string theories without a closed string sector.”
Unstable solitons in noncommutative gauge theory (2000, background): “11 of [33]) matches its tension at strong NCOS coupling (Eqn.”
Space-time noncommutative field theories and unitarity (2000, unknown): “ar X iv :h ep -t h/ 00 05 12 9v 2 1 A ug 2 00 0 hep-th/0005129 CALT-68-2272 CITUSC/00-023 Space-Time Noncommutative Field Theories And Unitarity Jaume Gomis and Thomas Mehen”
IIA/B, wound and wrapped (2000, background): “Section 5 includes a discussion of the relation of these theories to the known S-duals for NCOS theories [5, 6, 34] and the theories encountered in Seiberg’s derivation of the Matrix description for DLCQ IIA/M-theory [29, 30].”
The Kaluza Klein Melvin solution in M-theory (2000, background): “Evidence for this relation was given by using perturbative string theory and the ‘9/11’ flip symmetry of M-theory.”