https://doi.org/10.1140/epjc/s10052-014-2925-0
Regular Article - Theoretical Physics
S-duality and the giant magnon dispersion relation
1
Department of Physics, University of California at Santa Barbara, Santa Barbara, CA, 93106, USA
2
Kavli Institute for Theoretical Physics, University of California at Santa Barbara, Santa Barbara, CA, 93106, USA
* e-mail: dtrancan@physics.ucsb.edu
Received:
3
February
2014
Accepted:
28
May
2014
Published online:
12
June
2014
We use S-duality and planarity to propose an argument for the non-renormalization of the dispersion relation of giant magnon solutions in type IIB string theory on . We compute the spectrum of giant magnons for
-strings from field theory at strong coupling by using the central charge properties of electrically and magnetically charged supersymmetric states in the Coulomb branch of
super Yang–Mills. We argue that the coupling dependence of the giant magnon dispersion relation conjectured in the literature using integrability assumptions is in fact the only functional dependence compatible with S-duality.
© SIF and Springer-Verlag Berlin Heidelberg, 2014