32 research outputs found
R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry
By applying Noether method to N=1 local supersymmetry in eleven dimensions,
we obtained two candidates of R^4 corrections to the supergravity. The bosonic
parts of these two completely match with the results obtained by type IIA
string perturbative calculations. We also obtained 13 parameters which relate
only fermionic terms.Comment: 9 pages, no figure, note adde
Holographic Entropy on the Brane in de Sitter Schwarzschild Space
The relationship between the entropy of de Sitter (dS) Schwarzschild space
and that of the CFT, which lives on the brane, is discussed by using
Friedmann-Robertson-Walker (FRW) equations and Cardy-Verlinde formula. The
cosmological constant appears on the brane with time-like metric in dS
Schwarzschild background. On the other hand, in case of the brane with
space-like metric in dS Schwarzschild background, the cosmological constant of
the brane does not appear because we can choose brane tension to cancel it. We
show that when the brane crosses the horizon of dS Schwarzschild black hole,
both for time-like and space-like cases, the entropy of the CFT exactly agrees
with the black hole entropy of 5-dimensional AdS Schwarzschild background as it
happens in the AdS/CFT correspondence.Comment: 8 pages, LaTeX, Referneces adde
A Dynamical Brane in the Gravitational Dual of Superconformal Field Theory
The particular model of d5 higher derivative gravity which is dual to SCFT is considered. A (perturbative) AdS black hole in such
theory is constructed in the next-to-leading order of the AdS/CFT
correspondence. The surface counterterms are fixed by the conditions required
for a well-defined variational procedure and the finiteness of AdS space (when
the brane goes to infinity). A dynamical brane is realized at the boundary of
an AdS black hole with a radius that is larger than the horizon radius. The
AdS/CFT correspondence dictates the parameters of the gravitational dual in
such a way that the dynamical brane (the observable universe) always occurs
outside the horizon.Comment: LaTeX file, 14 pages, minor changes (including title) to match with
published versio
Holographic conformal anomaly with bulk scalars potential from d3 and d5 gauged supergravity
d3 and d5 maximally SUSY gauged supergravity is considered in the
parametrization (flow) of full scalar coset where the kinetic term for scalars
takes the standard field theory form and the bulk potential is an arbitrary one
subject to consistent parametrization. From such SG duals we calculate d2 and
d4 holographic conformal anomaly which depends on bulk scalars potential.
AdS/CFT correspondence suggests that such SG side conformal anomaly should be
identified with (non-perturbative) QFT conformal anomaly (taking account of
radiative corrections) for the theory living on the boundary of AdS space. In
the limit of constant bulk potential and single scalar, d4 result reproduces
the known exact conformal anomaly corresponding to maximally SUSY super
Yang-Mills theory coupled to conformal supergravity.Comment: LaTeX file, 13 pages. minor modification
Holographic entropy and brane FRW-dynamics from AdS black hole in d5 higher derivative gravity
Higher derivative bulk gravity (without Riemann tensor square term) admits
AdS-Schwarzschild black hole as exact solution. It is shown that induced brane
geometry on such background is open, flat or closed FRW radiation dominated
Universe. Higher derivative terms contributions appear in the Hawking
temperature, entropy and Hubble parameter via the redefinition of 5-dimensional
gravitational constant and AdS scale parameter. These higher derivative terms
do not destroy the AdS-dual description of radiation represented by
strongly-coupled CFT. Cardy-Verlinde formula which expresses cosmological
entropy as square root from other parameters and entropies is derived in
gravity. The corresponding cosmological entropy bounds are briefly discussed.Comment: LaTeX file, 19 page