2016/04/15 by David Kastor, Kastor, David, Sourya Ray +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1604.04468
openalex publication_date 2016/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The first law for the holographic entanglement entropy of spheres in a boundary CFT 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 δa of the A-type trace anomaly coefficient for even dimensional CFTs, or more generally its extension δa^* 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 μδN, where the chemical potential μ is given by the entanglement entropy per degree of freedom.