447 research outputs found
Holographic entanglement entropy under the minimal geometric deformation and extensions
The holographic entanglement entropy (HEE) of the minimal geometrical
deformation (MGD) procedure and extensions (EMGD), is scrutinized within the
membrane paradigm of AdS/CFT. The HEE corrections of the Schwarzschild and
Reissner--Nordstr\"om solutions, due to a finite fluid brane tension, are then
derived and discussed in the context of the MGD and the EMGD.Comment: 31 pages and 23 figure
Equivalence between the Lovelock-Cartan action and a constrained gauge theory
We show that the four-dimensional Lovelock-Cartan action can be derived from
a massless gauge theory for the group with an additional BRST trivial
part. The model is originally composed by a topological sector and a BRST exact
piece and has no explicit dependence on the metric, the vierbein or a mass
parameter. The vierbein is introduced together with a mass parameter through
some BRST trivial constraints. The effect of the constraints is to identify the
vierbein with some of the additional fields, transforming the original action
into the Lovelock-Cartan one. In this scenario, the mass parameter is
identified with Newton's constant while the gauge field is identified with the
spin-connection. The symmetries of the model are also explored. Moreover, the
extension of the model to a quantum version is qualitatively discussed.Comment: 17 pages. No figures. Final version accepted for publication at the
EPJ
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