Topological insulators and superconductors from D-brane

Shinsei Ryu; Tadashi Takayanagi

doi:10.1016/j.physletb.2010.08.019

Topological insulators and superconductors from D-brane

Shinsei Ryu, Tadashi Takayanagi

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Realization of topological insulators (TIs) and superconductors (TSCs), such as the quantum spin Hall effect and the Z₂ topological insulator, in terms of D-branes in string theory is proposed. We establish a one-to-one correspondence between the K-theory classification of TIs/TSCs and D-brane charges. The string theory realization of TIs and TSCs comes naturally with gauge interactions, and the Wess-Zumino term of the D-branes gives rise to a gauge field theory of topological nature. This sheds light on TIs and TSCs beyond non-interacting systems, and the underlying topological field theory description thereof.

Original language	English (US)
Pages (from-to)	175-179
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	693
Issue number	2
DOIs	https://doi.org/10.1016/j.physletb.2010.08.019
State	Published - Sep 2010

Keywords

AdS/CFT
D-branes
Topological insulators

ASJC Scopus subject areas

Nuclear and High Energy Physics

Online availability

10.1016/j.physletb.2010.08.019

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title = "Topological insulators and superconductors from D-brane",

abstract = "Realization of topological insulators (TIs) and superconductors (TSCs), such as the quantum spin Hall effect and the Z2 topological insulator, in terms of D-branes in string theory is proposed. We establish a one-to-one correspondence between the K-theory classification of TIs/TSCs and D-brane charges. The string theory realization of TIs and TSCs comes naturally with gauge interactions, and the Wess-Zumino term of the D-branes gives rise to a gauge field theory of topological nature. This sheds light on TIs and TSCs beyond non-interacting systems, and the underlying topological field theory description thereof.",

keywords = "AdS/CFT, D-branes, Topological insulators",

author = "Shinsei Ryu and Tadashi Takayanagi",

note = "We acknowledge “Quantum Criticality and the AdS/CFT correspondence” miniprogram at KITP, “Quantum Theory and Symmetries” conference at University of Kentucky. We would like to thank K. Hori, P. Kraus, A. Ludwig, J. Moore, M. Oshikawa, and S. Sugimoto for useful discussion, and A. Furusaki for his clear lecture at “Development of Quantum Field Theory and String Theory” (YITP-W-09-04) at Kyoto University. S.R. thanks Center for Condensed Matter Theory at University of California , Berkeley, for its support. T.T. is supported in part by JSPS Grant-in-Aid for Scientific Research No. 20740132 , and by JSPS Grant-in-Aid for Creative Scientific Research No. 19GS0219 .",

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doi = "10.1016/j.physletb.2010.08.019",

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AU - Takayanagi, Tadashi

N1 - We acknowledge “Quantum Criticality and the AdS/CFT correspondence” miniprogram at KITP, “Quantum Theory and Symmetries” conference at University of Kentucky. We would like to thank K. Hori, P. Kraus, A. Ludwig, J. Moore, M. Oshikawa, and S. Sugimoto for useful discussion, and A. Furusaki for his clear lecture at “Development of Quantum Field Theory and String Theory” (YITP-W-09-04) at Kyoto University. S.R. thanks Center for Condensed Matter Theory at University of California , Berkeley, for its support. T.T. is supported in part by JSPS Grant-in-Aid for Scientific Research No. 20740132 , and by JSPS Grant-in-Aid for Creative Scientific Research No. 19GS0219 .

PY - 2010/9

Y1 - 2010/9

N2 - Realization of topological insulators (TIs) and superconductors (TSCs), such as the quantum spin Hall effect and the Z2 topological insulator, in terms of D-branes in string theory is proposed. We establish a one-to-one correspondence between the K-theory classification of TIs/TSCs and D-brane charges. The string theory realization of TIs and TSCs comes naturally with gauge interactions, and the Wess-Zumino term of the D-branes gives rise to a gauge field theory of topological nature. This sheds light on TIs and TSCs beyond non-interacting systems, and the underlying topological field theory description thereof.

AB - Realization of topological insulators (TIs) and superconductors (TSCs), such as the quantum spin Hall effect and the Z2 topological insulator, in terms of D-branes in string theory is proposed. We establish a one-to-one correspondence between the K-theory classification of TIs/TSCs and D-brane charges. The string theory realization of TIs and TSCs comes naturally with gauge interactions, and the Wess-Zumino term of the D-branes gives rise to a gauge field theory of topological nature. This sheds light on TIs and TSCs beyond non-interacting systems, and the underlying topological field theory description thereof.

KW - AdS/CFT

KW - D-branes

KW - Topological insulators

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Topological insulators and superconductors from D-brane

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