| 日時: |
2006-10-04 16:00 - 17:00 |
| 場所: |
研究本館 |
| 会議名: |
ON THE TOPOLOGICAL ORIGIN OF ENTANGLEMENT IN ISING SPIN GLASSE |
| 連絡先: |
津田 |
| 講演者: |
V. V. Sreedhar (Indian Institute of Technology) |
| 講演言語: |
英語 |
| アブストラクト: |
The origin of entanglement in a class of three-dimensional spin models, at low momenta, is traced to topological reasons. The establishment of the result is facilitated by the gauge principle which, in conjunction with the duality mapping of the spin models, enables us to recast them as lattice Chern-Simons theories. The entanglement measures are expressed in terms of the correlators of Wilson lines, loops, and their generalisations. For continuous spins, these yield the invariants of knots and links. For Ising-like models, they are expressible in terms of three-manifold invariants obtained from finite group cohomology -- the so-called Dijkgraaf-Witten invariants. |
|
