Comments on the beta-deformed N=4 SYM Theory

Abstract

Several calculations of 2- and 3-point correlation functions in the deformed theory are presented. The central charge in the Lunin-Maldacena gravity dual is shown to be independent of the deformation parameter. Calculations show that 2- and 3-point functions of chiral primary operators have no radiative corrections to lowest order in the interactions. Correlators of the operator tr(Z_1Z_2), which has not previously been identified as chiral primary, also have vanishing lowest order corrections.

18 pages, 1 figure. 2nd version: typos corrected, one reference added

References in corpus (30)

• Gauge Theory Correlators from Non-Critical String Theory
• The Holographic Weyl anomaly
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
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• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• Lax Pair for Strings in Lunin-Maldacena Background
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• Einstein manifolds and conformal field theories
• PP-wave string interactions from perturbative Yang-Mills theory
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• Field Theory Tests for Correlators in the AdS/CFT Correspondence
• Marginal and Relevant Deformations of N=4 Field Theories and Non-Commutative Moduli Spaces of Vacua
• Discrete Torsion, AdS/CFT and duality
• On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on AdS_5 * S^5
• $N=1$ supersymmetry and the three loop anomalous dimension for the chiral superfield
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Dipole Deformations of N=1 SYM and Supergravity backgrounds with U(1) X U(1) global symmetry
• Two-point functions of chiral operators in {\cal N}=4 SYM at order g^4
• The Scherk-Schwarz mechanism as a flux compactification with internal torsion
• Two-point correlators in the beta-deformed N=4 SYM at the next-to-leading order
• Marginal Deformations of Field Theories with AdS_4 Duals
• Vector operators in the BMN correspondence
• Marginal Deformations with U(1)^3 Global Symmetry
• Marginal deformation of N=4 SYM and Penrose limits with continuum spectrum
• Deformed PP-waves from the Lunin-Maldacena Background
• $\beta$-deformations, potentials and KK modes
• Bubbling 1/2 BPS Geometries and Penrose Limits

Cited by in corpus (44)

• Green-Schwarz Strings in TsT-transformed backgrounds
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Amplitudes in the beta-deformed Conformal Yang-Mills
• Magnons, Classical Strings and beta-Deformations
• Lunin-Maldacena Deformations With Three Parameters
• Non-conformality of gamma_i-deformed N=4 SYM theory
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• Proof of all-order finiteness for planar beta-deformed Yang-Mills
• Integrable twists in AdS/CFT
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• Giants On Deformed Backgrounds
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• Conformal invariance of the planar beta-deformed N=4 SYM theory requires beta real
• Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory
• 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
• Near BPS Wilson Loop in beta-deformed Theories
• Quantum Symmetries and Marginal Deformations
• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• On the all-order perturbative finiteness of the deformed N=4 SYM theory
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• Conformal Invariance in the Leigh-Strassler deformed N=4 SYM Theory
• Instanton test of non-supersymmetric deformations of the AdS_5 x S^5
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• Pure Spinor Strings in TsT Deformed Background
• $\beta$-deformation for matrix model of M-theory
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• 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
• String theory dual of the beta-deformed gauge theory
• One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory
• Chiral primaries in the Leigh-Strassler deformed N=4 SYM -- a perturbative study
• Star product and the general Leigh-Strassler deformation
• Effective action of beta-deformed N = 4 SYM theory: Farewell to two-loop BPS diagrams
• Wrapping effects in supersymmetric gauge theories
• From $\beta$ to $\eta$: a new cohomology for deformed Sasaki-Einstein manifolds
• One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory
• Structure constants of $\beta$ deformed super Yang-Mills
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory
• Dynamical SUSY Breaking and the Beta-Deformation