PP Wave Limit and Enhanced Supersymmetry in Gauge Theories

Abstract

We observe that the pp wave limit of $Ad{S}_5\times M^5$ compactifications of type IIB string theory is universal, and maximally supersymmetric, as long as $M^5$ is smooth and preserves some supersymmetry. We investigate a specific case, $M^5=T^{1,1}$. The dual $\mathcal{N}=1$ SCFT, describing D3-branes at a conifold singularity, has operators that we identify with the oscillators of the light-cone string in the universal pp-wave background. The correspondence is remarkable in that it relies on the exact spectrum of anomalous dimensions in this CFT, along with the existence of certain exceptional series of operators whose dimensions are protected only in the limit of large `t Hooft coupling. We also briefly examine the singular case $M^5=S^5/Z_2$, for which the pp wave background becomes a $Z_2$ orbifold of the maximally supersymmetric background by reflection of 4 transverse coordinates. We find operators in the corresponding $\mathcal{N}=2$ SCFT with the right properties to describe both the untwisted and the twisted sectors of the closed string.

15 pages, LaTeX; v2: added more detail to a derivation, and a preprint number; v3: minor corrections, some remarks and references added

References in corpus (4)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• 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

Cited by in corpus (106)

• Aspects of Semiclassical Strings in AdS${}_5$
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• Operators with large R charge in N=4 Yang-Mills theory
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds
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• On lightcone string field theory from Super Yang-Mills and holography
• On Penrose Limits and Gauge Theories
• Open Strings from N=4 Super Yang-Mills
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
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• (Twisted) Toroidal Compactification of pp-Waves
• Proving the PP-Wave/CFT_2 Duality
• pp-waves in 11-dimensions with extra supersymmetry
• Gauge/Gravity Duality and Warped Resolved Conifold
• Open Strings on Plane waves and their Yang-Mills duals
• Analytic Non-integrability in String Theory
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Noncommutative D-brane and Open String in pp-wave Background with B-field
• Strings from Quivers, Membranes from Moose
• The PP-Wave Limits of Orbifolded AdS_5x S^5
• Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory
• 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
• From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra
• Anomalous dimensions in gauge theories from rotating strings in $Ad{S}_5\times S^5$
• Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background
• Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave
• 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
• A Soluble String Theory of Hadrons
• Penrose Limits of Orbifolds and Orientifolds
• PP-Waves and Holography
• BMN Operators for N=1 Superconformal Yang-Mills Theories and Associated String Backgrounds
• D-Brane Solutions from New Isometries of pp-Waves
• Supersymmetric Branes in the Matrix Model of PP Wave Background
• Chaotic strings in a near Penrose limit of AdS${}_5\times T^{1,1}$
• A Multi-Boundary AdS Orbifold and DLCQ Holography: A universal holographic description of extremal black hole horizons
• Modular Invariance of Strings on PP-Waves with RR-flux
• Strings in plane wave backgrounds
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• PP-wave/Yang-Mills Correspondence: An Explicit Check
• Penrose Limits, Deformed pp-Waves and the String Duals of N=1 Large n Gauge Theory
• 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
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• String Theory on Parallelizable PP-Waves
• Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave Limit
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• On d=4,5,6 Vacua with 8 Supercharges
• Multi-spin strings on AdS(5)xT(1,1) and operators of N=1 superconformal theory
• On zero-point energy, stability and Hagedorn behavior of Type IIB strings on pp-waves
• D-branes of Covariant AdS Superstrings
• Giant magnons and spiky strings on the conifold
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Semiclassical strings and Non-Abelian T-duality
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• D-Branes at angle in pp-wave Background
• Penrose Limits of the Baryonic D5-brane
• PP-wave and Non-supersymmetric Gauge Theory
• On the Universality Class of Certain String Theory Hadrons
• Solution to worldvolume action of D3 brane in pp-wave background
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• Strings on conifolds from strong coupling dynamics, part I
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• Strings on conifolds from strong coupling dynamics: quantitative results
• Integrable Spin Chains on the Conformal Moose
• Penrose Limits of RG Fixed Points and PP-Waves with Background Fluxes
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• Randall-Sundrum Zero Mode as a Penrose Limit
• D5-brane in Anti-de Sitter Space and Penrose Limit
• On Type IIA String Theory on the PP-wave Background
• More on Penrose Limit of AdS_4 x Q^{1,1,1}
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• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Near-flat space limit and Einstein manifolds
• On the pp-wave limit and the BMN structure of new Sasaki-Einstein spaces
• Holography in the Penrose limit of AdS space
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• PP-waves from Nonlocal Theories
• Large angular momentum closed strings colliding with D-branes
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• Phases of Thermal N=2 Quiver Gauge Theories
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• Penrose Limit of AdS_4 x V_{5,2} and Operators with Large R Charge
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• Penrose Limits, Worldvolume Fluxes and Supersymmetry
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