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17 papers · 1 filter
Collective Field Theory for Quantum Hall States
M. Laskin, T. Can, P. Wiegmann
We develop a collective field theory for fractional quantum Hall (FQH) states. We show that in the leading approximation for a large number of particles, the properties of Laughlin…
A categorification of the square root of -1
Yin Tian
We give a graphical calculus for a monoidal DG category whose Grothendieck group is isomorphic to the ring . We construct a categorical action of $…
The Cartesian product of graphs with loops
Tetiana Boiko, Johannes Cuno, Wilfried Imrich +2
We extend the definition of the Cartesian product to graphs with loops and show that the Sabidussi-Vizing unique factorization theorem for connected finite simple graphs still hold…
Geometry of Quantum Hall States: Gravitational Anomaly and Kinetic Coefficients
T. Can, M. Laskin, P. Wiegmann
We show that universal transport coefficients of the fractional quantum Hall effect (FQHE) can be understood as a response to variations of spatial geometry. Some transport propert…
Hydrodynamics with gauge anomaly: Variational principle and Hamiltonian formulation
Gustavo M. Monteiro, Alexander G. Abanov, V. P. Nair
We present a variational principle for relativistic hydrodynamics with gauge-anomaly terms for a fluid coupled to an Abelian background gauge field. For this we utilize the Clebsch…
Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect
Andrey Gromov, Gil Young Cho, Yizhi You +2
We consider the geometric part of the effective action for Fractional Quantum Hall Effect (FQHE). It is shown that accounting for the framing anomaly of the quantum Chern-Simons th…