%0 Generic %1 Perlmutter2013Universal %A Perlmutter, Eric %D 2013 %K ads-cmt, entanglement %T A universal feature of CFT Renyi entropy %U http://arxiv.org/abs/1308.1083 %X We show that for a d-dimensional CFT in flat space, the Renyi entropy S\_q across a spherical entangling surface has the following property: in an expansion around q=1, the first correction to the entanglement entropy is proportional to C\_T, the coefficient of the stress tensor vacuum two-point function, with a fixed d-dependent coefficient. This is equivalent to a similar statement about the free energy of CFTs living on S^1 x H^d-1 with inverse temperature \beta=2q. In addition to furnishing a direct argument applicable to all CFTs, we exhibit this result using a handful of gravity and field theory computations. Knowledge of C\_T thus doubles as knowledge of Renyi entropies in the neighborhood of q=1, which we use to establish new results in 3d vector models at large N.

@misc{Perlmutter2013Universal, abstract = {We show that for a d-dimensional CFT in flat space, the Renyi entropy S\_q across a spherical entangling surface has the following property: in an expansion around q=1, the first correction to the entanglement entropy is proportional to C\_T, the coefficient of the stress tensor vacuum two-point function, with a fixed d-dependent coefficient. This is equivalent to a similar statement about the free energy of CFTs living on S^1 x H^{d-1} with inverse temperature \beta=2\pi q. In addition to furnishing a direct argument applicable to all CFTs, we exhibit this result using a handful of gravity and field theory computations. Knowledge of C\_T thus doubles as knowledge of Renyi entropies in the neighborhood of q=1, which we use to establish new results in 3d vector models at large N.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Perlmutter, Eric}, biburl = {https://www.bibsonomy.org/bibtex/2c03ab1844c376feb1fdbe308c1c0bb94/acastro}, citeulike-article-id = {12543101}, citeulike-linkout-0 = {http://arxiv.org/abs/1308.1083}, citeulike-linkout-1 = {http://arxiv.org/pdf/1308.1083}, day = 5, eprint = {1308.1083}, interhash = {a311c8edbe2acf7521332599d79bbe8a}, intrahash = {c03ab1844c376feb1fdbe308c1c0bb94}, keywords = {ads-cmt, entanglement}, month = aug, posted-at = {2013-08-06 12:49:41}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{A universal feature of CFT Renyi entropy}}, url = {http://arxiv.org/abs/1308.1083}, year = 2013 }