Speaker
Dung Nguyen
(Institute For Interdisciplinary Research in Science and Education, Quy Nhon, Vietnam)
Description
I will present an effective field theory for higher-spin chiral collective modes in fractional quantum Hall states, constructed on the basis of the guiding-center (W∞) algebra. The low-energy excitations are described as area-preserving deformations of the quantum Hall fluid, forming a hierarchy of chiral modes that includes the spin-2 graviton and higher-spin excitations. The report derives the effective action governing these modes, analyzes spin mixing at finite momentum, and demonstrates that the spin-2 sector admits a geometric description on a Kähler manifold. This provides a unified theoretical framework connecting W∞ symmetry, quantum geometry, and the bimetric description of the fractional quantum Hall effect.