3,295 research outputs found
The gravity dual of supersymmetric gauge theories on a squashed
We present a new one-parameter family of supersymmetric solutions deforming
AdS_5. This is constructed as an asymptotically locally anti de Sitter (AlAdS)
solution of five-dimensional minimal gauged supergravity, with topology R x R^4
and a non-trivial graviphoton field, and can be uplifted to ten or eleven
dimensional supergravities. An analytic continuation of this solution yields
the gravity dual to a class of four-dimensional N=1 supersymmetric gauge
theories on a curved manifold with topology S^1 x S^3, comprising an SU(2) x
U(1)-symmetric squashed three-sphere, with a non-trivial background gauge field
coupling to the R-symmetry current. We compute the holographically renormalised
on-shell action and interpret it in terms of the Casimir energy of the dual
field theory. We also determine the holographic conserved charges of the
solution and discuss relations between them.Comment: 57 pages, 5 figures. v4: version published in JHE
Tri-Sasakian consistent reduction
We establish a universal consistent Kaluza-Klein truncation of M-theory based
on seven-dimensional tri-Sasakian structure. The four-dimensional truncated
theory is an N=4 gauged supergravity with three vector multiplets and a
non-abelian gauge group, containing the compact factor SO(3). Consistency
follows from the fact that our truncation takes exactly the same form as a
left-invariant reduction on a specific coset manifold, and we show that the
same holds for the various universal consistent truncations recently put
forward in the literature. We describe how the global symmetry group SL(2,R) x
SO(6,3) is embedded in the symmetry group E7(7) of maximally supersymmetric
reductions, and make the connection with the approach of Exceptional
Generalized Geometry. Vacuum AdS4 solutions spontaneously break the amount of
supersymmetry from N=4 to N=3,1 or 0, and the spectrum contains massive modes.
We find a subtruncation to minimal N=3 gauged supergravity as well as an N=1
subtruncation to the SO(3)-invariant sector. We also show that a reduction on
the homogeneous space N^{010} enhances the universal tri-Sasakian truncation
with a Betti vector multiplet.Comment: 40 pages main text, 9 pages appendix, 1 figure, 6 tables, v2: JHEP
version, added references, minor corrections, changed notation fluctuations
in tables 2-
New Distribution Records for Mosquitoes in Michigan (Diptera: Culicidae)
(excerpt)
Since the late 1940\u27s very little information has appeared in the literature dealing with the geographical distribution of mosquitoes in Michigan. The earliest attempt at establish- ing a comprehensive list of species was made by Irwin (1941) who catalogued 43 species by county. A survey by Pederson (1947) resulted in the collection of 48 species and provided the most extensive distribution list of mosquitoes in Michigan. Recent studies by Newson et al. (1975), McGroarty et al. (1976) and Grimstad (1977) have contributed several new distribution and state records.
Prompted by the 1975 St. Louis encephalitis outbreak in Michigan, and a lack of current information on the species of mosquitoes in Isabella County, a survey of mosquitoes was conducted in the Mount Pleasant area
BPS domain walls in N=4 supergravity and dual flows
We establish the conditions for supersymmetric domain wall solutions to N=4
gauged supergravity in five dimensions. These read as BPS first-order equations
for the warp factor and the scalar fields, driven by a superpotential and
supplemented by a set of constraints that we specify in detail. Then we apply
our results to certain consistent truncations of IIB supergravity, thus
exploring their dual field theory renormalization group flows. We find a
universal flow deforming superconformal theories on D3-branes at Calabi-Yau
cones. Moreover, we obtain a superpotential for the solution corresponding to
the baryonic branch of the Klebanov-Strassler theory, as well as the
superpotential for the flow describing D3 and wrapped D5-branes on the resolved
conifold.Comment: 42 pages, 1 figure. v2: minor changes, matches published versio
Localization on Hopf surfaces
We discuss localization of the path integral for supersymmetric gauge
theories with an R-symmetry on Hermitian four-manifolds. After presenting the
localization locus equations for the general case, we focus on backgrounds with
S^1 x S^3 topology, admitting two supercharges of opposite R-charge. These are
Hopf surfaces, with two complex structure moduli p,q. We compute the localized
partition function on such Hopf surfaces, allowing for a very large class of
Hermitian metrics, and prove that this is proportional to the supersymmetric
index with fugacities p,q. Using zeta function regularisation, we determine the
exact proportionality factor, finding that it depends only on p,q, and on the
anomaly coefficients a, c of the field theory. This may be interpreted as a
supersymmetric Casimir energy, and provides the leading order contribution to
the partition function in a large N expansion.Comment: v2: discussion of background reality conditions modified and other
minor changes, references added; v3: further minor corrections, version
accepted for publication in JHE
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