259 research outputs found
c-theorem of the entanglement entropy
We holographically investigate the renormalization group flow in a
two-dimensional conformal field theory deformed by a relevant operator. If the
relevant operator allows another fixed point, the UV conformal field theory
smoothly flows to a new IR conformal field theory. From the holographic point
of view, such a renormalization group flow can be realized as a dual geometry
interpolating two different AdS boundaries. On this interpolating geometry, we
investigate how the c-function of the entanglement entropy behaves along the RG
flow analyt- ically and numerically, which reproduces the expected central
charges of UV and IR. We also show that the c-function monotonically decreases
from UV to IR without any phase transition.Comment: 24 pages, 8 figure
Instability of Charged Anti-de Sitter Black Holes
We study the instability of charged anti-de Sitter black holes in four or
higher-dimension under fragmentation. The instability of fragmentation breaks
the black hole into two black holes. We have found that the region near
extremal or massive black holes become unstable under fragmentation. These
regions depend not only on the mass and charge of initial black hole but also
those of the fragmented one. The instability in higher-dimension is
qualitatively similar to that of four-dimension. The detailed instabilities are
numerically investigated.Comment: 12 pages, 5 figure
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