TY - JOUR
T1 - Topological insulators and superconductors from D-brane
AU - Ryu, Shinsei
AU - Takayanagi, Tadashi
N1 - Funding Information:
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 .
Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
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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U2 - 10.1016/j.physletb.2010.08.019
DO - 10.1016/j.physletb.2010.08.019
M3 - Article
AN - SCOPUS:77956910978
VL - 693
SP - 175
EP - 179
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 2
ER -