Interacting Double Coset Magnons

Abstract

We consider the anomalous dimensions of restricted Schur polynomials constructed using n~O(N) complex adjoint scalars Z and m complex adjoint scalars Y. We fix m<<n so that our operators are almost half BPS. At leading order in m/n this system corresponds to a dilute gas of m free magnons. Adding the first correction of order m/n to the anomalous dimension, which arises at two loops, we find non-zero magnon interactions. The form of this new operator mixing is studied in detail for a system of two giant gravitons with four strings attached.

28 pages

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Cited by in corpus (4)

• Central Charges for the Double Coset
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Oscillating Multiple Giants