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Extended First Law for Entanglement Entropy in Lovelock Gravity

Apr 15, 2016

18 pages

Published in:

Entropy 18 (2016) 6, 212

e-Print:

1604.04468 [hep-th]

DOI:

10.3390/e18060212

Report number:

ACFI-T16-13

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Abstract: (arXiv)

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

\delta a

of the A-type trace anomaly coefficient for even dimensional CFTs, or more generally its extension

\delta 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

\mu\delta N

, where the chemical potential

\mu

is given by the entanglement entropy per degree of freedom.

Note:

18 pages

entropy: entanglement
potential: chemical
gravitation: Lovelock
trace anomaly
perturbation
duality: holography
field theory: conformal
sphere

References(57)

Figures(0)

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