Operator mixing and three-point functions in N=4 SYM

Abstract

We study the three-point functions between two BPS and one non-BPS local gauge invariant operators in N=4 Super Yang-Mills theory. In particular we show, in explicit 1-loop examples, that the operator mixing discussed in arXiv:0810.0499 plays an important role in the computations of the correlators and is necessary to cancel contributions that would violate the constraints following from the superconformal and the bonus U(1)_Y symmetries. We analyse the same type of correlators also at strong coupling by using the BMN limit of the AdS_5xS^5 string theory. Again the mixing between states with different types of impurities is crucial to ensure the cancellation of various amplitudes that would violate the constraints mentioned above. However, on the string side, we also find some examples of interactions between one non-BPS and two BPS states that do not satisfy expectations based on the superconformal and the bonus U(1)_Y symmetries.

28 pages, 5 figures

References in corpus (4)

• R^4, purified
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• Operator Mixing and the AdS/CFT correspondence

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• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• From counting to construction of BPS states in N=4 SYM
• SL(2) sector: weak/strong coupling agreement of three-point correlators
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Three-point correlators for giant magnons
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• Three-point correlation functions from semiclassical circular strings
• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• Matching three-point functions of BMN operators at weak and strong coupling
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Correlators of massive string states with conserved currents
• String theory on the Schrodinger pp-wave background
• Giant Gravitons on the Schrodinger pp-wave geometry
• Structure constants of $\beta$ deformed super Yang-Mills
• BMN operators with a scalar fermion pair and operator mixing in N=4 Super Yang-Mills Theory
• Entanglement Entropy of the N=4 SYM spin chain