The PP-Wave Limits of Orbifolded AdS_5x S^5

Abstract

Using the supergravity solution of $N_1$ D3-branes probing $A_{N_2-1}$ singularities we study the pp-wave limit of $Ad{S}_5\times S^5/Z_{N_2}$. We show that there are two different pp-wave limits. One is the orbifold of the pp-wave limit of $Ad{S}_5\times S^5$. In this case there is no symmetry enhancement. The other case is the same as the pp-wave limit of $Ad{S}_5\times S^5$ and therefore we again see the maximal supersymmetry. We will also identify operators in the four dimensional $\mathcal{N}=2$ $SU(N_1{)}^{N_2}$ gauge theory which correspond to stringy excitations in the orbifolded pp-wave geometry. The existence of the maximal pp-wave geometry indicates that there is a subsector of the corresponding $\mathcal{N}=2$ gauge theories which has enhanced $\mathcal{N}=4$ supersymmetry. We also study the pp-wave limits of $Ad{S}_{7,4}\times S^{4,7}/Z_N$.

Latex file, no figures, 13 pages; v2: Eqs.(23) and (24) corrected, a reference added; v3: references added; v4, The final version to appear in PLB

References in corpus (4)

• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Penrose limits and maximal supersymmetry
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• PP Wave Limit and Enhanced Supersymmetry in Gauge Theories

Cited by in corpus (57)

• Aspects of Semiclassical Strings in AdS${}_5$
• PP-wave string interactions from perturbative Yang-Mills theory
• Branes in AdS and pp-wave spacetimes
• Operators with large R charge in N=4 Yang-Mills theory
• Fivebranes from gauge theory
• Superstring Interactions in a pp-wave Background
• (Twisted) Toroidal Compactification of pp-Waves
• pp-waves in 11-dimensions with extra supersymmetry
• Noncommutative D-brane and Open String in pp-wave Background with B-field
• Strings from Quivers, Membranes from Moose
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• Penrose Limits, PP-Waves and Deformed M2-branes
• Gauge invariant finite size spectrum of the giant magnon
• Anomalous dimensions in gauge theories from rotating strings in $Ad{S}_5\times S^5$
• Superstring on PP-Wave Orbifold from Large-N Quiver Gauge Theory
• Open Strings in PP-Wave Background from Defect Conformal Field Theory
• Strings on Orbifolded PP-waves
• Strings in homogeneous gravitational waves and null holography
• Penrose Limits of Orbifolds and Orientifolds
• PP-Waves and Holography
• Supersymmetric Branes in the Matrix Model of PP Wave Background
• Strings in plane wave backgrounds
• The Bethe Ansatz for Z_S Orbifolds of N=4 Super Yang-Mills Theory
• Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions
• Modular Invariance of Strings on PP-Waves with RR-flux
• Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds
• p-p' Branes in PP-wave Background
• Orbiting Membranes in M-theory on AdS_7 x S^4 Background
• Gauge theory description of compactified pp-waves
• String Theory on Parallelizable PP-Waves
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave Limit
• Penrose limits of Abelian and non-Abelian T-duals of $Ad{S}_5\times S^5$ and their field theory duals
• Notes on Giant Gravitons on PP-waves
• Bethe Ansatz Equations for General Orbifolds of N=4 SYM
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Scaling Violations in Yang-Mills Theories and Strings in AdS_5
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• Integrable Spin Chains on the Conformal Moose
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• On Type IIA String Theory on the PP-wave Background
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• Open string - BMN operator correspondence in the weak coupling regime
• Semi-classical Probe Strings on Giant Gravitons Backgrounds
• PP-waves from Nonlocal Theories
• Large angular momentum closed strings colliding with D-branes
• Phases of Thermal N=2 Quiver Gauge Theories
• Metric Building of pp Wave Orbifold Geometries
• Superstring Theory on pp Waves with ADE Geometries
• Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration
• On Penrose limit of elliptic branes
• Exact Anomalous Dimensions for N=2 ADE SCFTs
• Exploring the twisted sector of ${\mathbb{Z}}_L$ orbifolds: Matching ${\alpha }^{\prime }$-corrections to localisation
• On 1/2 BPS Solutions in M-theory
• The Penrose limit of AdS*S space and holography