BMN Operators for N=1 Superconformal Yang-Mills Theories and Associated String Backgrounds

Abstract

We study a class of near-BPS operators for a complex 2-parameter family of N=1 superconformal Yang-Mills theories that can be obtained by a Leigh-Strassler deformation of N=4 SYM theory. We identify these operators in the large N and large R-charge limit and compute their exact scaling dimensions using N=1 superspace methods. From these scaling dimensions we attempt to reverse-engineer the light-cone worldsheet theory that describes string propagation on the Penrose limit of the dual geometry.

47 pages, 1 figure, 1 table; v2 a few typos corrected; v3 added acknowledgements, a reference and improved discussion in section 3

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Cited by in corpus (42)

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• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Deformations of N=4 SYM and integrable spin chain models
• Green-Schwarz Strings in TsT-transformed backgrounds
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• Exact results in planar N=1 superconformal Yang-Mills theory
• Dipole Deformations of N=1 SYM and Supergravity backgrounds with U(1) X U(1) global symmetry
• Solvable models of strings in homogeneous plane wave backgrounds
• Giant magnons in TsT-transformed AdS_5 x S^5
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• The general Leigh-Strassler deformation and integrability
• Emergent geometry from q-deformations of N=4 super Yang-Mills
• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• Proof of all-order finiteness for planar beta-deformed Yang-Mills
• Marginal deformation of N=4 SYM and Penrose limits with continuum spectrum
• Giants On Deformed Backgrounds
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• Deformed PP-waves from the Lunin-Maldacena Background
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• The Leigh-Strassler Deformation and the Quest for Integrability
• Effective action of beta-deformed N=4 SYM theory and AdS/CFT
• Unstable Giants
• Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• $\beta$-deformations, potentials and KK modes
• Giant Gravitons on Deformed pp-waves
• String spectrum of curved string backgrounds obtained by T-duality and shifts of polar angles
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• Conformal Invariance in the Leigh-Strassler deformed N=4 SYM Theory
• Pure Spinor Strings in TsT Deformed Background
• Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
• gamma_i Deformed Lax Pair for Rotating Strings in the Fast Motion Limit
• On supersymmetry and other properties of a class of marginally deformed backgrounds
• Chiral primaries in the Leigh-Strassler deformed N=4 SYM -- a perturbative study
• A note on the universality of the Hagedorn behavior of pp-wave strings
• Effective action of beta-deformed N = 4 SYM theory: Farewell to two-loop BPS diagrams
• $\beta$-deformation on a slanted torus and deformed pp-wave
• Penrose Limit and Enhancon Geometry
• Marginal Deformations of N=4 SYM and Open vs. Closed String Parameters