arXiv Open Access 2009

Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy

Mitsutoshi Fujita Wei Li Shinsei Ryu Tadashi Takayanagi

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Abstrak

We present three holographic constructions of fractional quantum Hall effect (FQHE) via string theory. The first model studies edge states in FQHE using supersymmetric domain walls in N=6 Chern-Simons theory. We show that D4-branes wrapped on CP^1 or D8-branes wrapped on CP^3 create edge states that shift the rank or the level of the gauge group, respectively. These holographic edge states correctly reproduce the Hall conductivity. The second model presents a holographic dual to the pure U(N)_k (Yang-Mills-)Chern-Simons theory based on a D3-D7 system. Its holography is equivalent to the level-rank duality, which enables us to compute the Hall conductivity and the topological entanglement entropy. The third model introduces the first string theory embedding of hierarchical FQHEs, using IIA string on C^2/Z_n.

Topik & Kata Kunci

hep-th cond-mat.mes-hall

Penulis (4)

Mitsutoshi Fujita

Wei Li

Shinsei Ryu

Tadashi Takayanagi

Format Sitasi

APA MLA BibTeX

Fujita, M., Li, W., Ryu, S., Takayanagi, T. (2009). Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy. https://arxiv.org/abs/0901.0924

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓