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Open AccessArticle

Extended First Law for Entanglement Entropy in Lovelock Gravity

1
Amherst Center for Fundamental Interactions, Department of Physics, University of Massachusetts, Amherst, MA 01003, USA
2
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; https://doi.org/10.3390/e18060212
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. https://doi.org/10.3390/e18060212

AMA Style

Kastor D, Ray S, Traschen J. Extended First Law for Entanglement Entropy in Lovelock Gravity. Entropy. 2016; 18(6):212. https://doi.org/10.3390/e18060212

Chicago/Turabian Style

Kastor, David; Ray, Sourya; Traschen, Jennie. 2016. "Extended First Law for Entanglement Entropy in Lovelock Gravity" Entropy 18, no. 6: 212. https://doi.org/10.3390/e18060212

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