27. June 2023, 14:00 until 15:00
Non-relativistic geometry and higher-spins in the fractional quantum Hall effect
Patricio Salgado-Rebolledo (Wroclaw Tech. U.)
It is well-known that the low-energy regime of the fractional quantum Hall effect (FQHE) can be described by Abelian and non-AbelianChern-Simons theories, while the corresponding chiral edge states are described by rational conformal field theories. However, other collective excitations exist in the FQHE that cannot be described by topological field theory.
One example is the long-wavelengthlimit of the Girvin-MacDonald-Platzman (GMP) mode, a apped spin-2 mode associated with an internal metric of the system, which can be described in terms of non-relativistic geometry. Moreover, in addition to the GMP mode, additional collective excitationsdescribed by non-relativistic higher-spin fields need to be introduced in the known effective field theory of the FQHE to reproduce the complete GMP algebra.