Workshop 3: Higher dimensional CFT and integrability
5-9 December 2011
Background
Conformal field theories in more than two space-time dimensions
cannot be approached with the same algebraic techniques that are
being applied successfully to 2-dimensional CFTs. Even though
interesting examples were known to exist for a long time, such
as e.g. N = 4 supersymmetric Yang-Mills theory in 4-dimensional
space-time, their solution had seemed far out of reach.
Over the last decade, however, there has been remarkable progress
concerning the classification and construction of higher-dimensional
conformal field theories, helped at least in parts by gauge/string
dualities. In these developments, two-dimensional solvable models
provide conceptual guidance and, more importantly, many of the new
computational tools. On the other hand, low-dimensional physics is
also challenged to go beyond the well established techniques.
Topics to be addressed during the third part include the
classification of conformal field theories in three and four
space-time dimensions as well as computational tools for
anomalous dimensions, correlators, scattering amplitudes
and Wilson loops. The interplay with two-dimensional classical
and quantum integrable models, in particular those associated
to higher rank (super-)groups, will be a particular focus.
Confirmed participants for theme 3
Physicists: O. Aharony*, Y. Aisaka, V. Kazakov, G. Korchemsky, V. Schomerus,
G. Semenoff, J. Teschner, K. Zarembo
Mathematicians: J. Germoni
Lectures
G. Semenoff: Introduction to N=4 SYM theory
K. Zarembo: Strings in Anti-de-Sitter target spaces
Workshop programme
[Click here to download the Workshop 3 schedule]
- Yuri AISAKA: Singleton spin chains from string theory
- Nathan BERKOVITS (IFT, Sao Paolo): Simplifying and extending the AdS_5 X S_5 pure spinor formalism
- Vladimir FATEEV (Montpellier U): Alday, Gaiotto, Tachikawa and integrability
- Boris FEIGIN (Landau ITP, Chernogolovka): Toroidal algebras, super W-algebras and plane partitions
- Nikolai GROMOV (King's College, London): On the exact spectrum of N=4 SYM
- Gregory KORCHEMSKY (IPhT, Saclay): Hidden symmetry of correlation functions in N=4 SYM
- Samson SHATASHVILI (Trinity College, Dublin): Quantisation of integrable systems and supersymmetric gauge theories
- Joerg TESCHNER (DESY, Hamburg): Comments on N=2 gauge theories, Liouville theory and the quantization of Hitchin moduli spaces
- Arkady TSEYTLIN (Imperial College, London): Semiclassical correlation functions in AdS_5 X S_5
- Pedro VIEIRA (PI, Waterloo): Null polygon Wilson loops, spin chains and flux tubes
- Dmytro VOLIN: Wronskian solution of Hirota equations and hidden properties of the AdS/CFT Y-system
- Konstantin ZAREMBO (Nordita, Stockholm): Semiclassical correlation functions in holography