RT Journal Article
T1 Information flows in strongly coupled ABJM theory
A1 Balasubramanian, Vijay
A1 Jokela, Niko
A1 Ponni, Arttu
A1 Vázquez Ramallo, Alfonso
K1 AdS-CFT correspondence
K1 D-branes
AB We use holographic methods to characterize the RG flow of quantum information in a Chern-Simons theory coupled to massive fermions. First, we use entanglement entropy and mutual information between strips to derive the dimension of the RG-driving operator and a monotonic c-function. We then display a scaling regime where, unlike in a CFT, the mutual information between strips changes non-monotonically with strip width, vanishing in both IR and UV but rising to a maximum at intermediate scales. The associated information transitions also contribute to non-monotonicity in the conditional mutual information which characterizes the independence of neighboring strips after conditioning on a third. Finally, we construct a measure of extensivity which tests to what extent information that region A shares with regions B and C is additive. In general, mutual information is super-extensive in holographic theories, and we might expect super-extensivity to be maximized in CFTs since they are scale-free. Surprisingly, our massive theory is more super-extensive than a CFT in a range of scales near the UV limit, although it is less super-extensive than a CFT at all lower scales. Our analysis requires the full ten-dimensional dual gravity background, and the extremal surfaces computing entanglement entropy explore all of these dimensions
PB Springer
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21289
UL http://hdl.handle.net/10347/21289
LA eng
NO Balasubramanian, V., Jokela, N., Pönni, A. et al. Information flows in strongly coupled ABJM theory. J. High Energ. Phys. 2019, 232 (2019). https://doi.org/10.1007/JHEP01(2019)232
NO A. V. R. is funded by the Spanish grants FPA2014-52218-P and FPA2017-84436-P by Xunta de Galicia (GRC2013-024), by FEDER and by theMaria de Maeztu Unit of Excellence MDM-2016-0692. V. B. was supported in part by theSimons Foundation (# 385592, V. B.) through the It From Qubit Simons Collaboration,and the US Department of Energy grant FG02-05ER-41367. V. B. also acknowledgesthe hospitality of the Aspen Center for Physics which is supported by National ScienceFoundation grant PHY-1607611
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