Gauge theory description of compactified pp-waves

Abstract

We find a new Penrose limit of AdS_5*S^5 that gives the maximally symmetric pp-wave background of type IIB string theory in a coordinate system that has a manifest space-like isometry. This induces a new pp-wave/gauge-theory duality which on the gauge theory side involves a novel scaling limit of N=4 SYM theory. The new Penrose limit, when applied to AdS_5*S^5/Z_M, yields a pp-wave with a space-like circle. The dual gauge theory description involves a triple scaling limit of an N=2 quiver gauge theory. We present in detail the map between gauge theory operators and string theory states including winding states, and verify agreement between the energy eigenvalues obtained from string theory and those computed in gauge theory, at least to one-loop order in the planar limit. We furthermore consider other related new Penrose limits and explain how these limits can be understood as part of a more general framework.

67 pages, latex, 4 figures; references added, typos fixed, a minus sign in the string spectrum corrected, discussion on gauge theory operators improved

References in corpus (7)

• PP-wave string interactions from perturbative Yang-Mills theory
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• Operator Mixing and the BMN Correspondence
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• Type IIA String and Matrix String on PP-wave
• PP-wave/Yang-Mills Correspondence: An Explicit Check

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• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Cosmologies with Null Singularities and their Gauge Theory Duals
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• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
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• Matrix Membrane Big Bangs and D-brane Production
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• New Penrose Limits and AdS/CFT
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