Dualities and Integrability in Low Dimensional AdS/CFT

by Antonio Pittelli (University of Surrey)

Monday 23 Jan 2017, 13:15 → 14:15 Europe/Stockholm

Nordita East, 132:028

Dual superconformal symmetry (DSC) underlies the duality between scattering amplitudes and Wilson loops in N=4 super Yang-Mills theory. Via AdS/CFT, this corresponds to the invariance of the AdS_5 x S^5 superstring action under specific T-dualities. Furthermore, DSC and T-self-duality are deeply connected with integrability and Yangian symmetry of the model. We show that this symmetry holds also for AdS_2 x M^8 and AdS_3 x M^7 superstrings with exceptional isometry supergroups, which imply the DSC of their still mysterious CFT duals. We then focus on AdS_2 x S^2 x T^6 superstrings and discuss their peculiar worldsheet S-matrix, as well as the infinite dimensional symmetry behind the model: the Y[gl_c(1|1)] Yangian.