Chern-Simons Theory and Quantum Fields in the Lowest Landau Level

Abstract

By considering the area preserving geometric transformations in the configuration space of electrons moving in the lowest Landau level (LLL) we arrive at the Chern-Simons type Lagrangian. Imposing the LLL condition, we get a scheme with the complex gauge fields and transformations. Quantum theory for the matter field in LLL is considered and formal expressions for Read's operator and Laughlin wave function are presented in the second quantized form.

8 pages, RevTex

References in corpus (4)

• Infinite Symmetry in the Quantum Hall Effect
• A Field Theory for the Read Operator
• Algebraic Aspects of the Fractional Quantum Hall Effect
• Unitarity of The Realization of Conformal Symmetry in The Quantum Hall Effect