Theoretical physics / Elméleti fizika

Michael C. Abbott (University of Cape Town): On the necessity of massless modes in AdS_3 integrability

Europe/Budapest
Tanacsterem

Tanacsterem

Description
We recently showed that the Bethe equations for AdS_3 integrability describe the spectrum of a much smaller sector than was the case for AdS_5/CFT_4. The reason is that wrapping corrections enter much earlier than before, thanks to the presence of massless modes. This explains (most of) a mismatch that was seen in one of the classic tests of AdS/CFT integrability, namely the study of circular spinning strings from which Hernandez & Lopez deduced the one-loop dressing phase for AdS_5. My talk will start by reviewing this test, then translate to AdS_3 to see the mismatch, and finish by explaining what we now understand about the origin of this. (Reference: http://arxiv.org/abs/1512.08761 )