Fractional quantum Hall effect (FQHE) remains the most fundamental phenomenon of quantum collective states with topological characterization. It is also the most reliable platform for developing topological and geometric ideas in physics of quantum states. Topological properties of fractional quantum hall states have been studied, appreciated and satisfactorily understood since early years of the phenomena by incorporating Chern-Simons topological quantum field theories.
However, the Chern-Simons description applies in the limit in which the energy gap to all bulk excitations has been sent to infinity. It is therefore impossible, even in principle, to study the dynamics of quantum states beyond the linear response theory solely within the Chern-Simons framework. Many fundamentally important and observable properties of the phenomena are left behind in such an approximation. In recent years it had been understood that these properties are governed by geometric nature of FQH states whose global aspects are the topological properties.
The geometrical properties describe the response of the quantum states on a change of geometry. Moreover, bulk excitations are geometrically coupled to the edge states and may have nontrivial effects on the dynamics of edge modes. Therefore, for many reasons, theoretical approaches to the FQH effect that go beyond Chern-Simons theory are essential for better understanding of physics of the FQH phenomenon, and of all topological quantum states beyond QHE.
Organizing Committee
Andrea Cappelli (INFN - Florence)
Matthew Lapa (University of Chicago)
Dmitry Melnikov (IIP – Natal)
Paul Wiegmann (Univeristy of Chicago)
Invited Participants
Alexander Abanov (Stony Brook University, Stony Brook, USA)
Joseph Avron (Technion, Haifa, Israel)
Maissam Barkeshli (University of Maryland, College Park, USA)
Eldad Bettelheim (Hebrew University of Jerusalem, Jerusalem, Israel)
Sergey Dickmann (Institute of Solid State Physics, Chernogolovka, Russia)
Rui-Rui Du (Rice University, Houston, USA & Peking University, Beijing, PR China)
Alvaro Ferraz (International Institute of Physics, Natal, Brazil)
Omri Golan (Weizmann Institute, Rehovot, Israel)
Cosimo Gorini (Regensburg University, Regensburg, Germany)
Ilya Gruzberg (Ohio State University, Columbus, USA)
Duncan Haldane (Princeton University)
Bertrand Halperin (Harvard University, Cambridge, USA)
Thors Hans Hansson (Stockholm University, Stockholm, Sweden)
Jainendra Jain (Pennsylvania State University, State College, USA)
Dimitra Karabali (City University of New York, New York, USA)
Semyon Klevtsov (University of Cologne, Cologne, Germany)
Yang Liu (Peking University, Beijing, China)
Zhao Liu (Zhejiang University, China)
Michael Mulligan (University of California Riverside, Riverside, USA)
Parameswaran Nair (City University of New York, New York, USA)
Wei Pan (Sandia National Laboratories, Albuquerque, USA)
Zlatko Papic (University of Leeds, Leeds, UK)
Alexios Polychronakos (City University of New York, New York, USA)
Shinsei Ryu (University of Chicago, Chicago, USA)
Masatoshi Sato (Yukawa Institute for Theoretical Physics, Kyoto, Japan)
Ara Sedrakyan (Yerevan Physics Institute, Yerevan, Armenia)
Jurgen Smet (Max Planck Institute for Solid State Research, Stuttgart, Germany)
Xin Wan (Zhejiang University, Hangzhou, China)
Yong-Shi Wu (University of Utah, USA)
Bo Yang (Nanyang Technological University, Singapore)
