Quantum Anomalies, Topology, and Hydrodynamics
Organized by Alexander Abanov, Dmitri Kharzeev, Boris Khesin, Dam Son, and Paul Wiegmann
February 17June 13, 2014
Recent developments in relativistic hydrodynamics place it at the crossroads of nuclear physics, condensed matter physics and string theory. Hydrodynamics is known to be very effective in describing the longwavelength behavior of many body systems regardless of the strength of interparticle interactions. It encapsulates general conservation laws and symmetries of the system.
Quantum anomalies can break some of the symmetries of the underlying theory. While it was known for a long time that anomalies induce observable effects in quantum field theories, only quite recently it has become clear that anomalies also have important macroscopic manifestations and affect transport and hydrodynamics — in particular, anomalies make possible nondissipative transport and bring to the existence novel collective excitations. The effects of anomalies are especially important in the systems that possess chiral fermions (e.g. quantum Hall systems, graphene or quarkgluon plasma) and where topologically nontrivial configurations are present (e.g. vortices, skyrmions or sphalerons).
An important advantage of hydrodynamics is that it is formulated explicitly in terms of physical observables. Therefore, the hydrodynamical approach usually leads directly to the predictions for the experiment, both in condensed matter and nuclear physics. Furthermore, topological methods in hydrodynamics could shed some light on the search for new symmetries related to quantum anomalies. Topological fluid dynamics is a young branch of mathematics which studies group symmetries of various equations of hydrodynamical origin, as well as geometric and topological properties of their solutions and of the corresponding magnetic and vortex fields. The interaction of the relativistic and topological approaches in hydrodynamics might also lead to new insights into the turbulence and singularity problems.
The goal of the program is to develop hydrodynamic descriptions in condensed matter physics and QCD at finite temperature and density with an emphasis on the effects of quantum anomalies and topology. Among these effects is the nondissipative transport of charges and energy — with a wide range of applications in science and technology, from quantum computing to the detection of topological fluctuations of QCD in heavy ion collisions. We aim at advancing quantum hydrodynamics through the use of topological and geometric methods.
Speaker and Seminar Schedule:
The weekly talks take place on Mondays at 4pm (beginning Monday January 27) and Thursdays at 1:00pm (beginning Thursday January 16) in room 313.
Date and Time  Title  Presenters  
1/16 at 1:00pm – Room 313  Intro: Holographic fluids and superfluids  Tigran Kalaydzhyan  More Details 
1/23 at 10:30am – Room 313  Chiral anomaly, kinetic theory, and the Chiral Magnetic/Vortical Effect  Gökçe Basar  More Details 
1/27 at 4:00pm – Room 313  Relativistic Hydrodynamics in the presence of Anomalies  Gustavo Monteiro  More Details 
1/30 at 10:30am – Room 313  An Introduction to Holographic Superconductivity  Chris Herzog  More Details 
2/10 at 4:00pm – Room 313  Chiral and Gravitational Anomalies on Fermi surfaces  Ismail Zahed  More Details 
2/17/14 – 2/21/14  WORKSHOP: Quantum Anomalies and Hydrodynamics: Applications to Nuclear and Condensed Matter Physics  More Details  
2/24/14 – 2/28/14  WORKSHOP: Strongly Coupled Systems Away From Equilibrium  More Details  
3/6 at 1:00pm – Room 313  Quantum Lax pair for the deformed CalogeroMoser systems  Alexander Veselov  More Details 
3/10 at 4:00pm – Room 313  Deriving anomalyinduced response from thermal equilibrium  Kristan Jensen  More Details 
3/17 at 4:00pm – Room 313  Anomalous Zero Sound  Alexander Gorsky  More Details 
3/20 at 1:00pm – Room 313  Deriving anomalyinduced response from thermal equilibrium. Part II  Kristan Jensen  More Details 
3/24 at 2:00pm – YITP Common Room 6125 
Momentum Dissipation and Charge Transport in Holograpy

Richard Davison

YITP Seminar 
3/27 at 1:00pm – Room 313  Lorentz invariance in chiral kinetic theory  Mikhail Stephanov  More Details 
3/31 at 4:00pm – Room 313  Torus knot invariants from Calogero model  Ksenia Bulycheva  More Details 
4/3/14 at 1:00pm – Room 313  Thermal Corrections to Entanglement Entropy for Conformal Field Theory  Chris Herzog  More Details 
4/7/14 at 4:00pm – Room 313  Chiral superfluidity in QCD  Tigran Kalaydzhyan  More Details 
4/10/14 at 2:30pm – Room 313  The role of anomaly inflow in the theory of chiral quantum fluids  Juerg Froehlich  More Details 
4/14/14 at 4:00pm – Room 313  Q&A seminar: Loewner evolution and integrable systems  Alexander Vasiliev  More Details 
4/21/14 at 4:00pm – Room 313  Quantum Hall effect and Kähler metrics 
Semyon Klevtsov

More Details 
4/22/14 at 1:00pm – Room 102  Fractional Quantum Hall Effect on Riemann Surfaces  Paul Wiegmann  More Details 
4/24/14 at 1:00pm – Room 313  Towards experimental characterisation of topological order at a fractional quantum Hall edge  Vadim Cheianov  More Details 
4/28/14 at 4:00pm – Room 313  Quantum Hydrodynamics of Weyl Fermions  Dmitri Kharzeev  More Details 
5/1/14 at 1:00pm – Room 313  Holography and Equilibration  Edward Shuryak  More Details 
5/5/14 at 4:00pm – Room 313  On the generating functional in dissipative hydrodynamics  Pavel Kovtun  More Details 
5/6/14 at 2:30pm – Room 102  Quantum impurity problems and conformal field theory  Ian Affleck  More Details 
5/7/14 at 2:30pm – YITP Common Room 6125  Topological Superconductor – Luttinger liquid Junctions  Ian Affleck  More Details 
5/8/14 at 1:00pm – Room 313  Spectral theory of periodic triangular difference operators and its applications  Igor Krichever  More Details 
5/12/14 at 4:00pm – Room 313  Exact Solutions to the NavierStokes Equations  Oleg Bogoyavlenskij  More Details 
5/13/14 at 4:00pm – Room 313  A universal correction to higher spin entanglement entropy  Justin David  More Details 
5/14/14 at 1:00pm – Room 313  Controlling quantum flux through measurement: an idealised example  Denis Bernard  More Details 
5/15/14 at 1:00pm – Room 313  Critical phenomena in weakly dispersive nonlinear Hamiltonian PDEs and universality  Boris Dubrovin  More Details 
5/19/14 – 5/23/14  WORKSHOP: Geometrical Aspects of Hydrodynamics  More Details  
5/27/14 at 1:00pm – Room 313 
Stability of twodimensional topological insulators  Andrea Cappelli  More Details 
5/29/14 at 1:00pm – Room 313 
Casimir Effect: Diffraction and general boundary conditions  Dimitra Karabali  More Details 
6/5/14 at 10:30am – Room 313 
OPE in statistical mechanics – what is it good for?  Alexander Zamolodchikov  More Details 
6/9/14 at 4:00pm – Room 313 
Maxwell Electrodynamics on 4 torus as a topologically ordered system  Ariel Zhitnitsky  More Details 