Semantic Scholar Open Access 2007 5 sitasi

SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry

K. Hasebe

Lihat Sumber DOI

Abstrak

We review the recent developments of the SUSY quantum Hall effect (hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527). We introduce a SUSY formulation of the quantum Hall effect on supermanifolds. On each of supersphere and superplane, we investigate SUSY Landau problem and explicitly con- struct SUSY extensions of Laughlin wavefunction and topological excitations. The non-anti- commutative geometry naturally emerges in the lowest Landau level and brings particular physics to the SUSY quantum Hall effect. It is shown that SUSY provides a unified picture of the original Laughlin and Moore-Read states. Based on the charge-flux duality, we also develop a Chern-Simons effective field theory for the SUSY quantum Hall effect.

Topik & Kata Kunci

Physics

Penulis (1)

K. Hasebe

Format Sitasi

APA MLA BibTeX

Hasebe, K. (2007). SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry. https://doi.org/10.3842/SIGMA.2008.023

Akses Cepat

Lihat di Sumber doi.org/10.3842/SIGMA.2008.023

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Total Sitasi: 5×
Sumber Database: Semantic Scholar
DOI: 10.3842/SIGMA.2008.023
Akses: Open Access ✓