|DATE||October 15 (Mon), 2018|
|SPEAKER||Jaco van Zyl|
|TITLE||On Integrable Subsectors of AdS/CFT and LLM geometries|
The 1/2 BPS and regular LLM geometries are formed from the backreaction of a large number of D-branes on AdS_5 x S^5. The dual N=4 SYM operator to this configuration, and excitations thereof, thus lie outside of the planar limit of the theory. Explicitly the dual operators of these geometries are Schur polynomials labelled by a Young diagram with O(N^2) boxes and excitations of this configuration are restricted Schur polynomials obtained by adding boxes (and restriction labels) to this diagram. A special class of these backgrounds are labelled by Young diagrams with O(1) well separated corners. In the large N limit excitations localised at any one of these corners only mix with each other which gives rise to an emergent gauge theory. A recent proposal has argued that the planar limit of the emergent gauge theory is isomorphic to the planar limit of N=4 SYM and thus represents an integrable subsector of the theory. In this talk this proposal is reviewed and aspects of the weak and strong coupling evidence presented.