Universität zu Köln

Chen, Xiao, Roy, Abhishek, Teo, Jeffrey C. Y. and Ryu, Shinsei (2017). From orbifolding conformal field theories to gauging topological phases. Phys. Rev. B, 96 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

Topological phases of matter in (2+1) dimensions are commonly equipped with global symmetries, such as electric-magnetic duality in gauge theories and bilayer symmetry in fractional quantum Hall states. Gauging these symmetries into local dynamical ones is one way of obtaining exotic phases from conventional systems. We study this using the bulk-boundary correspondence and applying the orbifold construction to the (1+1)-dimensional edge described by a conformal field theory (CFT). Our procedure puts twisted boundary conditions into the partition function and predicts the fusion, spin, and braiding behavior of anyonic excitations after gauging. We demonstrate this for the electric-magnetic self-dual Z(N) gauge theory, the twofold symmetric SU(3)(1), and the S-3-symmetric SO(8)(1) Wess-Zumino-Witten theories.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Chen, Xiao UNSPECIFIED UNSPECIFIED UNSPECIFIED Roy, Abhishek UNSPECIFIED UNSPECIFIED UNSPECIFIED Teo, Jeffrey C. Y. UNSPECIFIED UNSPECIFIED UNSPECIFIED Ryu, Shinsei UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-217386
DOI:	10.1103/PhysRevB.96.115447
Journal or Publication Title:	Phys. Rev. B
Volume:	96
Number:	11
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM; SYMMETRIES; MODELS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21738