TY - JOUR
T1 - Some calculable contributions to holographic entanglement entropy
AU - Hung, Ling Yan
AU - Myers, Robert C.
AU - Smolkin, Michael
PY - 2011
Y1 - 2011
N2 - Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory. In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off. Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy. The form of some of these new contributions is similar to that found in investigations of entanglement entropy in a free massive scalar field theory [1, 2].
AB - Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory. In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off. Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy. The form of some of these new contributions is similar to that found in investigations of entanglement entropy in a free massive scalar field theory [1, 2].
KW - AdS-CFT Correspondence
KW - Holography and condensed matter physics (AdS/CMT)
UR - http://www.scopus.com/inward/record.url?scp=80053155786&partnerID=8YFLogxK
U2 - 10.1007/JHEP08(2011)039
DO - 10.1007/JHEP08(2011)039
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AN - SCOPUS:80053155786
SN - 1126-6708
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 39
ER -