Penrose Limits of Orbifolds and Orientifolds

Abstract

We study the Penrose limit of various AdS_p X S^q orbifolds. The limiting spaces are waves with parallel rays and singular wave fronts. In particular, we consider the orbifolds AdS_3 X S^3/Γ, AdS_5 X S^5/Γand AdS_{4,7} X S^{7,4}/Γwhere Γacts on the sphere and/or the AdS factor. In the pp-wave limit, the wave fronts are the orbifolds C^2/Γ, C^4/Γand R XC^4/Γ, respectively. When desingularization is possible, we get asymptotically locally pp-wave backgrounds (ALpp). The Penrose limit of orientifolds are also discussed. In the AdS_5 X RP^5 case, the limiting singularity can be resolved by an Eguchi-Hanson gravitational instanton. The pp-wave limit of D3-branes near singularities in F-theory is also presented. Finally, we give the embedding of D-dimensional pp-waves in flat M^{2,D} space.

20 pages, references added

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Cited by in corpus (33)

• Aspects of Semiclassical Strings in AdS${}_5$
• PP-wave string interactions from perturbative Yang-Mills theory
• Operators with large R charge in N=4 Yang-Mills theory
• Fivebranes from gauge theory
• Superstring Interactions in a pp-wave Background
• On lightcone string field theory from Super Yang-Mills and holography
• (Twisted) Toroidal Compactification of pp-Waves
• Proving the PP-Wave/CFT_2 Duality
• Open Strings on Plane waves and their Yang-Mills duals
• Noncommutative D-brane and Open String in pp-wave Background with B-field
• Strings from Quivers, Membranes from Moose
• Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory
• Strings on pp-waves and massive two dimensional field theories
• Open Strings in PP-Wave Background from Defect Conformal Field Theory
• Strings in homogeneous gravitational waves and null holography
• PP-Waves and Holography
• Strings in plane wave backgrounds
• Modular Invariance of Strings on PP-Waves with RR-flux
• Orbiting Membranes in M-theory on AdS_7 x S^4 Background
• Gauge theory description of compactified pp-waves
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave Limit
• Notes on Giant Gravitons on PP-waves
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• Scaling Violations in Yang-Mills Theories and Strings in AdS_5
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• PP-waves from Nonlocal Theories
• Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration
• PP-waves from rotating and continuously distributed D3-branes
• The amazing properties of crystalline color superconductors
• Exploring the twisted sector of ${\mathbb{Z}}_L$ orbifolds: Matching ${\alpha }^{\prime }$-corrections to localisation
• Turbulent aspects of BMN membrane dynamics