Evolution of entanglement entropy in orbifold CFTs

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書誌事項

公開日
2017-05-16
資源種別
journal article
権利情報
  • http://iopscience.iop.org/info/page/text-and-data-mining
  • http://iopscience.iop.org/page/copyright
DOI
  • 10.1088/1751-8121/aa6e08
  • 10.48550/arxiv.1701.03110
公開者
IOP Publishing

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説明

In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its compactification radius is rational, the second Renyi entropy approaches a universal constant equal to the logarithm of the quantum dimension of the twist operator. On the other hand, in the non-rational case, we find a new scaling law for the Renyi entropies given by the double logarithm of time $\log\log t$ for the cyclic orbifold CFT.

28 pages, 7 figures. Invited contribution to the special issue of J. Phys. A: "John Cardy's scale-invariant journey in low dimensions: a special issue for his 70th birthday". v2: typos corrected, refs added, sec.5 improved. v3: affiliation, ref updated

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