120 research outputs found
On Maximal Massive 3D Supergravity
We construct, at the linearized level, the three-dimensional (3D) N = 4
supersymmetric "general massive supergravity" and the maximally supersymmetric
N = 8 "new massive supergravity". We also construct the maximally
supersymmetric linearized N = 7 topologically massive supergravity, although we
expect N = 6 to be maximal at the non-linear level.Comment: 33 page
A Note on E11 and Three-dimensional Gauged Supergravity
We determine the gauge symmetries of all p-forms in maximal three-dimensional
gauged supergravity by requiring invariance of the Lagrangian. It is shown that
in a particular ungauged limit these symmetries are in precise correspondence
to those predicted by the very-extended Kac-Moody algebra E11. We demonstrate
that whereas in the ungauged limit the bosonic gauge algebra closes off-shell,
the closure is only on-shell in the full gauged theory. This underlines the
importance of dynamics for understanding the Kac-Moody origin of the symmetries
of gauged supergravity.Comment: Published versio
New Massive Gravity Domain Walls
The properties of the asymptotic space-times representing flat domain
walls (DW's) solutions of the New Massive 3D Gravity with scalar matter are
studied. Our analysis is based on order BPS-like equations involving
an appropriate superpotential. The Brown-York boundary stress-tensor is used
for the calculation of DW's tensions as well as of the 's central
charges. The holographic renormalization group flows and the phase transitions
in specific deformed dual to 3D massive gravity model with quadratic
superpotential are discussed.Comment: 12 pages,v2-misprints corrected,comments concerning BPS eqs. for NMG
model in d>3 added in Sect.
On higher derivative gravity, c-theorems and cosmology
We consider higher derivative gravity lagrangians in 3 and 4 dimensions,
which admit simple c-theorems, including upto six derivative curvature
invariants. Following a suggestion by Myers, these lagrangians are restricted
such that the fluctuations around (anti) de Sitter spaces have second order
linearized equations of motion. We study c-theorems both in the context of
AdS/CFT and cosmology. In the context of cosmology, the monotonic function is
the entropy defined on the apparent horizon through Wald's formula. Exact black
hole solutions which are asymptotically (anti) de Sitter are presented. An
interesting lower bound for entropy is found in de Sitter space. Some aspects
of cosmology in both D=3 and D=4 are discussed.Comment: 23 pages, v3: clarifications added, references adde
On the structure of k-Lie algebras
We show that the structure constants of -Lie algebras, , with a
positive definite metric are the sum of the volume forms of orthogonal
-planes. This generalizes the result for in arXiv:0804.2662 and
arXiv:0804.3078, and confirms a conjecture in math/0211170.Comment: 4 pages, minor changes and a reference adde
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