The plane-wave/super Yang-Mills duality

By D. Sadri, M. Sheikh-Jabbari. 2003

137 citations recorded by the source corpus.

We present a self-contained review of the Plane-wave/super-Yang-Mills duality, which states that strings on a plane-wave background are dual to a particular large R-charge sector of N=4, D=4 superconformal U(N) gauge theory. This duality is a specification of the usual AdS/CFT correspondence in the ''Penrose limit''. The Penrose limit of AdS{sub 5} S{sup 5} leads to the maximally supersymmetric ten dimensional plane-wave (henceforth the plane-wave) and corresponds to restricting to the large R-charge sector, the BMN sector, of the dual superconformal field theory. After assembling the necessary background knowledge, we state the duality and review some of its supporting evidence. We review the suggestion by 't Hooft that Yang-Mills theories with gauge groups of large rank might be dual to string theories and the realization of this conjecture in the form of the AdS/CFT duality. We discuss plane-waves as exact solutions of supergravity and their appearance as Penrose limits of other backgrounds, then present an overview of string theory on the plane-wave background, discussing the symmetries and spectrum. We then make precise the statement of the proposed duality, classify the BMN operators, and mention some extensions of the proposal. We move on to study the gauge theory side of themore » duality, studying both quantum and non-planar corrections to correlation functions of BMN operators, and their operator product expansion. The important issue of operator mixing and the resultant need for re-diagonalization is stressed. Finally, we study strings on the plane-wave via light-cone string field theory, and demonstrate agreement on the one-loop correction to the string mass spectrum and the corresponding quantity in the gauge theory. A new presentation of the relevant superalgebra is given.« less

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/02426dd685d1b7ca85a918da812dfb65307cce0c

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Citations in the corpus

Semiclassical Strings and AdS/CFT (2004, background): “1 + n2λ̃ expression may appear on the perturbative SYM side (for reviews of various aspects of the BMN limit see also [25]).”
Giant gravitons—with strings attached (I) (2007, unknown): “By studying BMN loops it has been possible to probe truly stringy aspects of the gauge theory/gravity correspondence (see [9] and references therein).”
Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain (2004, background): “The BMN proposal triggered a large number of interesting research papers, most of which cannot be discussed here (see the thorough reviews [4]).”
Giant Gravitons - with Strings Attached (III) (2007, background): “By studying BMN loops it has been possible to probe truly stringy aspects of the gauge theory/gravity correspondence (see [9] and references therein).”
Tiny graviton matrix theory: DLCQ of IIB plane-wave string theory, a conjecture (2004, background): “Here we only focus on the solution given by irreducible Spin(4) representation which corresponds to a single S3F .”
Algebraic Curve for the SO(6) Sector of AdS/CFT (2004, background): “The two most recent important advances in this field are the BMN correspondence [13] (see [14–18] for reviews) and the semiclassical spinning strings duality [19] (see”