Resonant algebras in Chern-Simons model of topological insulators

Abstract

This paper explores the possibility of using Maxwell algebra and its generalizations called resonant algebras for the unified description of topological insulators. We offer the natural action construction, which includes the relativistic Wen-Zee and other terms, with adjustable coupling constants. By gauging all available resonant algebras formed by Lorentz, translational and Maxwell generators $\{J_a,P_a,Z_a\}$ we present six Chern-Simons Lagrangians with various terms content accounting for different aspects of the topological insulators. Additionally, we provide complementary actions for another invariant metric form, which might turn out useful in some generalized (2+1) gravity models.

arXiv comment10 pages

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Cited by in corpus (6)

• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• Extended Nappi-Witten Geometry for the Fractional Quantum Hall Effect
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Resonant superalgebras for supergravity
• Boson-fermion algebraic mapping in second quantization
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