Extended First Law for Entanglement Entropy in Lovelock Gravity
Amherst Center for Fundamental Interactions, Department of Physics, University of Massachusetts, Amherst, MA 01003, USA
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
Author to whom correspondence should be addressed.
Academic Editor: David Kubiznak
Received: 15 April 2016 / Revised: 23 May 2016 / Accepted: 24 May 2016 / Published: 30 May 2016
The first law for the holographic entanglement entropy of spheres in a boundary CFT (Conformal Field Theory) with a bulk Lovelock dual is extended to include variations of the bulk Lovelock coupling constants. Such variations in the bulk correspond to perturbations within a family of boundary CFTs. The new contribution to the first law is found to be the product of the variation
of the “A
”-type trace anomaly coefficient for even dimensional CFTs, or more generally its extension
to include odd dimensional boundaries, times the ratio
is a measure of the number of degrees of freedom N
per unit volume of the boundary CFT, this new term has the form
, where the chemical potential μ
is given by the entanglement entropy per degree of freedom.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Kastor, D.; Ray, S.; Traschen, J. Extended First Law for Entanglement Entropy in Lovelock Gravity. Entropy 2016, 18, 212.
Kastor D, Ray S, Traschen J. Extended First Law for Entanglement Entropy in Lovelock Gravity. Entropy. 2016; 18(6):212.
Kastor, David; Ray, Sourya; Traschen, Jennie. 2016. "Extended First Law for Entanglement Entropy in Lovelock Gravity." Entropy 18, no. 6: 212.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.