Exact solvability, or integrability for short, is normally a one or two dimensional blessing which sometimes occurs in condensed matter systems such as spin chains, the Hubbard model, some sigma models, etc. Recently it became clear that some four dimensional gauge theories are dual to two dimensional integrable sigma models and inherit their quantum integrability. This gives rise to outstanding opportunities for improving our understanding of nature at fundamental scales. For example, using integrability, the exact dimension of all operators in a four dimensional gauge theory are now conjectured. This is the first time ever that non-trivial (non-protected) quantities are computed at any value of the coupling in a strongly interacting field theory.
Progress in this field is still happening at an amazing pace. This includes, for example, using the Thermodynamic Bethe ansatz and the AdS/CFT Y-system for probing the finite size spectrum of the theory and computing four dimensional scattering amplitudes making use of integrability. The computations of higher point correlation functions are also starting to arise. At the same time mysterious connections between correlation functions in Liouville theory (an integrable theory) and the partition functions of certain N=2 Gauge theories have been found and wall crossing phenomena have been connected to thermodynamic Bethe ansatz equations.
The purpose of the IGST2011 conference is to assess the current status of this rapidly evolving field by bringing together experts in gauge theories, strings, integrable systems and mathematics. The conference will consist of 25 talks and will allow for plenty of time for discussions. Many of the speaking slots will be made apparent in the near future to allow for the latest developments.
Previous IGST conferences
- 06'2009: IGST10 Conference, Nordita Stockholm
- 06'2009: int09 Conference, AEI Potsdam
- 08'2008: IGST08 Workshop, Universiteit Utrecht
- 06'2007: 12th Claude Itzykson Meeting, Saclay/ENS Paris
- 07'2006: int06 Workshop, AEI Potsdam
- 08'2005: Summer Institute, ENS Paris