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Open AccessArticle

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
Entropy 2016, 18(6), 212;
Received: 15 April 2016 / Revised: 23 May 2016 / Accepted: 24 May 2016 / Published: 30 May 2016
(This article belongs to the Special Issue Black Hole Thermodynamics II)
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 δ a of the “A”-type trace anomaly coefficient for even dimensional CFTs, or more generally its extension δ a * to include odd dimensional boundaries, times the ratio S / a * . Since a * is a measure of the number of degrees of freedom N per unit volume of the boundary CFT, this new term has the form μ δ N , where the chemical potential μ is given by the entanglement entropy per degree of freedom. View Full-Text
Keywords: holography; entanglement entropy; Lovelock gravity holography; entanglement entropy; Lovelock gravity
MDPI and ACS Style

Kastor, D.; Ray, S.; Traschen, J. Extended First Law for Entanglement Entropy in Lovelock Gravity. Entropy 2016, 18, 212.

AMA Style

Kastor D, Ray S, Traschen J. Extended First Law for Entanglement Entropy in Lovelock Gravity. Entropy. 2016; 18(6):212.

Chicago/Turabian Style

Kastor, David; Ray, Sourya; Traschen, Jennie. 2016. "Extended First Law for Entanglement Entropy in Lovelock Gravity" Entropy 18, no. 6: 212.

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