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arXiv · 1512.05019

Interacting Double Coset Magnons

Abdelhamid Mohamed Adam Ali·Robert de Mello Koch·Nirina Hasina Tahiridimbisoa·Augustine Larweh Mahu
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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.

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Abdelhamid Mohamed Adam Ali, Robert de Mello Koch, Nirina Hasina Tahiridimbisoa, Augustine Larweh Mahu. 2015-12-16. Interacting Double Coset Magnons. https://doi.org/10.1103/physrevd.93.065057

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