Conformal Dimensions of Two-Derivative BMN Operators

Abstract

We compute the anomalous dimensions of BMN operators with two covariant derivative impurities at the planar level up to first order in the effective coupling lambda'. The result equals those for two scalar impurities as well as for mixed scalar and vector impurities given in the literature. Though the results are the same, the computation is very different from the scalar case. This is basically due to the existence of a non-vanishing overlap between the derivative impurity and the ``background'' field Z. We present details of these differences and their consequences.

27 pages, v2: references added, minor changes

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• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Stringing Spins and Spinning Strings
• Lectures on the Plane-Wave String/Gauge Theory Duality
• BMN Operators and Superconformal Symmetry
• Strings in plane wave backgrounds
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• An alternative formulation of light-cone string field theory on the plane wave
• Open+Closed String Field Theory From Gauge Fields
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• BMN operators with vector impurities, Z_2 symmetry and pp-waves
• New tests of the pp-wave correspondence
• New aspects of the BMN correspondence beyond the planar limit
• Chiral primaries in the Leigh-Strassler deformed N=4 SYM -- a perturbative study
• BMN operators with a scalar fermion pair and operator mixing in N=4 Super Yang-Mills Theory
• Open String Plane-Wave Light-Cone Superstring Field Theory