On the perturbative chiral ring for marginally deformed N=4 SYM theories

Abstract

For \cal{N}=1 SU(N) SYM theories obtained as marginal deformations of the \cal{N}=4 parent theory we study perturbatively some sectors of the chiral ring in the weak coupling regime and for finite N. By exploiting the relation between the definition of chiral ring and the effective superpotential we develop a procedure which allows us to easily determine protected chiral operators up to n loops once the superpotential has been computed up to (n-1) order. In particular, for the Lunin-Maldacena beta-deformed theory we determine the quantum structure of a large class of operators up to three loops. We extend our procedure to more general Leigh-Strassler deformations whose chiral ring is not fully understood yet and determine the weight-two and weight-three sectors up to two loops. We use our results to infer general properties of the chiral ring.

LaTex, 40 pages, 4 figures, uses JHEP3; v2: minor corrections

References in corpus (6)

• Giant Magnons
• Integrable twists in AdS/CFT
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• KK-Masses in Dipole Deformed Field Theories

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• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• Conformal invariance and finiteness theorems for non-planar beta-deformed N=4 SYM theory
• Effective action of beta-deformed N = 4 SYM theory: Farewell to two-loop BPS diagrams
• A note on perturbative aspects of Leigh-Strassler deformed N=4 SYM theory