Speaker
Prof.
Robert de Mello Koch
(University of the Witwatersrand)
Description
N=4 SYM theory has been extensively studied in the planar limit. An important result is that the planar dilatation operator can be mapped to the Hamiltonian of an integrable system. In this talk we study certain large N (but not planar) limits of the theory. We argue that the dilatation operator remains integrable: it reduces to a set of decoupled harmonic oscillators. This challenges claims that integrability is spoiled by non-planar corrections. We argue that the decoupled oscillators that arise describe the vibration modes of a quantum membrane.
| Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)? | no |
|---|---|
| Level (Hons, MSc, <br> PhD, other)? | other |
| Consider for a student <br> award (Yes / No)? | no |
Primary author
Prof.
Robert de Mello Koch
(University of the Witwatersrand)
Co-authors
Mr
Christopher Mathwin
(University of the Witwatersrand)
Dr
Dimitrios Giataganas
(University of the Witwatersrand)
Mr
Matthias Dessein
(University of the Witwatersrand)
