Video URL
https://pirsa.org/15080116Using anomaly tests to restrict crystal symmetry fractionalization in Z_2 and chiral spin liquids
APA
(2015). Using anomaly tests to restrict crystal symmetry fractionalization in Z_2 and chiral spin liquids. Perimeter Institute for Theoretical Physics. https://pirsa.org/15080116
MLA
Using anomaly tests to restrict crystal symmetry fractionalization in Z_2 and chiral spin liquids. Perimeter Institute for Theoretical Physics, Aug. 11, 2015, https://pirsa.org/15080116
BibTex
@misc{ scivideos_PIRSA:15080116, doi = {10.48660/15080116}, url = {https://pirsa.org/15080116}, author = {}, keywords = {Quantum Matter}, language = {en}, title = {Using anomaly tests to restrict crystal symmetry fractionalization in Z_2 and chiral spin liquids}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2015}, month = {aug}, note = {PIRSA:15080116 see, \url{https://scivideos.org/index.php/pirsa/15080116}} }
Abstract
Using the method of flux fusion anomaly test recently developed by M. Hermele and X. Chen (arXiv:1508.00573), we show that the possible ways of fractionalize crystal symmetry is greatly restricted if we assume the spin liquid has an SU(2) spin rotation symmetry and the spinon carries a half-integer spin. For a Z_2 spin liquid, under these assumptions the vison can only take the crystal symmetry fractionalization described by the Ising gauge theory. For a chiral spin liquid these assumptions imply that the spinon must also take fractionalized quantum numbers of crystal symmetries.