English

Interacting Double Coset Magnons

High Energy Physics - Theory 2016-04-06 v1

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.

Cite

@article{arxiv.1512.05019,
  title  = {Interacting Double Coset Magnons},
  author = {Abdelhamid Mohamed Adam Ali and Robert de Mello Koch and Nirina Hasina Tahiridimbisoa and Augustine Larweh Mahu},
  journal= {arXiv preprint arXiv:1512.05019},
  year   = {2016}
}

Comments

28 pages

R2 v1 2026-06-22T12:10:49.926Z