Penrose Limits and Non-local theories

Abstract

We investigate Penrose limits of two classes of non-local theories, little string theories and non-commutative gauge theories. Penrose limits of the near-horizon geometry of NS5-branes help to shed some light on the high energy spectrum of little string theories. We attempt to understand renormalization group flow in these theories by considering Penrose limits wherein the null geodesic also has a radial component. In particular, we demonstrate that it is possible to construct a pp-wave spacetime which interpolates between the linear dilaton and the AdS regions for the Type IIA NS5-brane. Similar analysis is considered for the holographic dual geometry to non-commutative field theories.

27 pages, LaTeX; v2: added references

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Cited by in corpus (30)

• Aspects of Semiclassical Strings in AdS${}_5$
• A Matrix Big Bang
• Homogeneous Plane Waves
• Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
• Plane Waves: To infinity and beyond!
• A Soluble String Theory of Hadrons
• Modular Invariance of Strings on PP-Waves with RR-flux
• Penrose Limits, Deformed pp-Waves and the String Duals of N=1 Large n Gauge Theory
• Penrose Limits and RG Flows
• p-p' Branes in PP-wave Background
• String Theory on Parallelizable PP-Waves
• String theory and the Classical Stability of Plane Waves
• Penrose Limit and String Theories on Various Brane Backgrounds
• Causal structures of pp-waves
• Penrose limit and NCYM theories in diverse dimensions
• On integrable models from pp-wave string backgrounds
• D-Brane solutions in a light-like linear dilaton background
• Penrose Limits, the Colliding Plane Wave Problem and the Classical String Backgrounds
• More on Penrose limits and non-local theories
• PP-waves from Nonlocal Theories
• Matrix Big Brunch
• Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories
• NS5 Brane and Little String Duality in the pp-wave Limit
• Penrose Limits of Branes and Marginal Intersecting Branes
• Note on I-brane Near Horizon PP-wave Background
• D-brane dynamics in a plane wave background
• Semiclassical Analysis of String/Gauge Duality on Non-commutative Space
• Semiclassical Strings Probing NS5 Brane Wrapped on S^5
• On Penrose limit of elliptic branes
• Penrose Limit and Enhancon Geometry