TY - JOUR
T1 - Holographic entanglement entropy of anisotropic minimal surfaces in LLM geometries
AU - Kim, Chanju
AU - Kim, Kyung Kiu
AU - Kwon, O. Kab
N1 - Funding Information:
K.K. thanks Tatsuma Nishioka for helpful comments in the 9th Asian Winter School on Strings in Busan. This work was supported by the National Research Foundation of Korea (NRF) grant with the grant number NRF-2015R1D1A1A01058220 (K.K.) and NRF-2014R1A1A2059761 (O.K.).
Publisher Copyright:
© 2016 The Author(s).
PY - 2016/8/10
Y1 - 2016/8/10
N2 - We calculate the holographic entanglement entropy (HEE) of the Zk orbifold of Lin-Lunin-Maldacena (LLM) geometries which are dual to the vacua of the mass-deformed ABJM theory with Chern-Simons level k. By solving the partial differential equations analytically, we obtain the HEEs for all LLM solutions with arbitrary M2 charge and k up to μ02-order where μ0 is the mass parameter. The renormalized entanglement entropies are all monotonically decreasing near the UV fixed point in accordance with the F-theorem. Except the multiplication factor and to all orders in μ0, they are independent of the overall scaling of Young diagrams which characterize LLM geometries. Therefore we can classify the HEEs of LLM geometries with Zk orbifold in terms of the shape of Young diagrams modulo overall size. HEE of each family is a pure number independent of the 't Hooft coupling constant except the overall multiplication factor. We extend our analysis to obtain HEE analytically to μ04-order for the symmetric droplet case.
AB - We calculate the holographic entanglement entropy (HEE) of the Zk orbifold of Lin-Lunin-Maldacena (LLM) geometries which are dual to the vacua of the mass-deformed ABJM theory with Chern-Simons level k. By solving the partial differential equations analytically, we obtain the HEEs for all LLM solutions with arbitrary M2 charge and k up to μ02-order where μ0 is the mass parameter. The renormalized entanglement entropies are all monotonically decreasing near the UV fixed point in accordance with the F-theorem. Except the multiplication factor and to all orders in μ0, they are independent of the overall scaling of Young diagrams which characterize LLM geometries. Therefore we can classify the HEEs of LLM geometries with Zk orbifold in terms of the shape of Young diagrams modulo overall size. HEE of each family is a pure number independent of the 't Hooft coupling constant except the overall multiplication factor. We extend our analysis to obtain HEE analytically to μ04-order for the symmetric droplet case.
UR - http://www.scopus.com/inward/record.url?scp=84973508214&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2016.05.095
DO - 10.1016/j.physletb.2016.05.095
M3 - Article
AN - SCOPUS:84973508214
SN - 0370-2693
VL - 759
SP - 395
EP - 401
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
ER -