3,895 research outputs found
Consistent massive truncations of IIB supergravity on Sasaki-Einstein manifolds
Recent work on holographic superconductivity and gravitational duals of
systems with non-relativistic conformal symmetry have made use of consistent
truncations of D=10 and D=11 supergravity retaining some massive modes in the
Kaluza-Klein tower. In this paper we focus on reductions of IIB supergravity to
five dimensions on a Sasaki-Einstein manifold, and extend these previous
truncations to encompass the entire bosonic sector of gauged D=5, N=2
supergravity coupled to massive multiplets up to the second Kaluza-Klein level.
We conjecture that a necessary condition for the consistency of massive
truncations is to only retain the lowest modes in the massive trajectories of
the Kaluza-Klein mode decomposition of the original fields. This is an
extension of the well-known result that consistent truncations may be obtained
by restricting to the singlet sector of the internal symmetry group.Comment: 27 pages, typos corrected and references adde
g=1 for Dirichlet 0-branes
Dirichlet 0-branes, considered as extreme Type IIA black holes with spin
carried by fermionic hair, are shown to have the anomalous gyromagnetic ratio
g=1, consistent with their interpretation as Kaluza-Klein modes.Comment: 13 pages, Late
Four Dimensional String/String/String Triality
In six spacetime dimensions, the heterotic string is dual to a Type
string. On further toroidal compactification to four spacetime dimensions, the
heterotic string acquires an SL(2,\BbbZ)_S strong/weak coupling duality and
an SL(2,\BbbZ)_T \times SL(2,\BbbZ)_U target space duality acting on the
dilaton/axion, complex Kahler form and the complex structure fields
respectively. Strong/weak duality in interchanges the roles of and
in yielding a Type string with fields . This suggests
the existence of a third string (whose six-dimensional interpretation is more
obscure) that interchanges the roles of and . It corresponds in fact to
a Type string with fields leading to a four-dimensional
string/string/string triality. Since SL(2,\BbbZ)_S is perturbative for the
Type string, this triality implies -duality for the heterotic
string and thus fills a gap left by duality. For all three strings the
total symmetry is SL(2,\BbbZ)_S \times O(6,22;\BbbZ)_{TU}. The
O(6,22;\BbbZ) is {\it perturbative} for the heterotic string but contains the
conjectured {\it non-perturbative} SL(2,\BbbZ)_X, where is the complex
scalar of the Type string. Thus four-dimensional triality also
provides a (post-compactification) justification for this conjecture. We
interpret the Bogomol'nyi spectrum from all three points of view. In
particular we generalize the Sen-Schwarz formula for short multiplets to
include intermediate multiplets also and discuss the corresponding black hole
spectrum both for the theory and for a truncated ---- symmetric
theory. Just as the first two strings are described by the
four-dimensional {\it elementary} and {\it dual solitonic} solutions, so theComment: 36 pages, Latex, 2 figures, some references changed, minor changes in
formulas and tables; to appear in Nucl. Phys.
Eleven Dimensional Origin of String/String Duality: A One Loop Test
Membrane/fivebrane duality in D=11 implies Type IIA string/Type IIA fivebrane
duality in D=10, which in turn implies Type IIA string/heterotic string duality
in D=6. To test the conjecture, we reproduce the corrections to the 3-form
field equations of the D=10 Type IIA string (a mixture of tree-level and
one-loop effects) starting from the Chern-Simons corrections to the 7-form
Bianchi identities of the D=11 fivebrane (a purely tree-level effect). K3
compactification of the latter then yields the familiar gauge and Lorentz
Chern-Simons corrections to 3-form Bianchi identities of the heterotic string.
We note that the absence of a dilaton in the D=11 theory allows us to fix both
the gravitational constant and the fivebrane tension in terms of the membrane
tension. We also comment on an apparent conflict between fundamental and
solitonic heterotic strings and on the puzzle of a fivebrane origin of
S-duality.Comment: 30 pages (including 5 postscript figures included), LaTeX, Footnote 8
has been removed; the apparent disagreement with Townsend is only one of
semantics, not substanc
Putting String/Fivebrane Duality to the Test
According to string/fivebrane duality, the Green-Schwarz factorization of the
spacetime anomaly polynomial into means that just
as is the anomaly polynomial of the string worldsheet so
should be the anomaly polynomial of the fivebrane worldvolume. To test
this idea we perform a fivebrane calculation of and find perfect
agreement with the string one--loop result.Comment: 14 pages, CERN TH-6614/92, CTP-TAMU 60/9
Incomplete Orthogonal Factorization Methods Using Givens Rotations II: Implementation and Results
We present, implement and test a series of incomplete orthogonal factorization methods based on Givens rotations for large sparse unsymmetric matrices. These methods include: column-Incomplete Givens Orthogonalization (cIGO-method), which drops entries by position only; column-Threshold Incomplete Givens Orthogonalization (cTIGO-method) which drops entries dynamically by both their magnitudes and positions and where the reduction via Givens rotations is done in a column-wise fashion; and, row-Threshold Incomplete Givens Orthogonalization (r-TIGO-method) which again drops entries dynamically, but only magnitude is now taken into account and reduction is performed in a row-wise fashion. We give comprehensive accounts of how one would code these algorithms using a high level language to ensure efficiency of computation and memory use. The methods are then applied to a variety of square systems and their performance as preconditioners is tested against standard incomplete LU factorization techniques. For rectangular matrices corresponding to least-squares problems, the resulting incomplete factorizations are applied as preconditioners for conjugate gradients for the system of normal equations. A comprehensive discussion about the uses, advantages and shortcomings of these preconditioners is given
Quantum discontinuity between zero and infinitesimal graviton mass with a Lambda term
We show that the recently demonstrated absence of the usual discontinuity for
massive spin 2 with a Lambda term is an artifact of the tree approximation, and
that the discontinuity reappears at one loop.Comment: 8 pages, revtex 3.1, title changed (version to appear in Phys. Rev.
Lett.
Complementarity of the Maldacena and Karch-Randall Pictures
We perform a one-loop test of the holographic interpretation of the
Karch-Randall model, whereby a massive graviton appears on an AdS_4 brane in an
AdS_5 bulk. Within the AdS/CFT framework, we examine the quantum corrections to
the graviton propagator on the brane, and demonstrate that they induce a
graviton mass in exact agreement with the Karch-Randall result. Interestingly
enough, at one loop order, the spin 0, spin 1/2 and spin 1 loops contribute to
the dynamically generated (mass)^2 in the same 1: 3: 12 ratio as enters the
Weyl anomaly and the 1/r^3 corrections to the Newtonian gravitational
potential.Comment: 20 pages, Revtex 3, Discussion on the absence of a scalar ghost
clarified; Additional details on the computation give
Gauge Symmetry and Consistent Spin-Two Theories
We study Lagrangians with the minimal amount of gauge symmetry required to
propagate spin-two particles without ghosts or tachyons. In general, these
Lagrangians also have a scalar mode in their spectrum. We find that, in two
cases, the symmetry can be enhanced to a larger group: the whole group of
diffeomorphisms or a enhancement involving a Weyl symmetry. We consider the
non-linear completions of these theories. The intuitive completions yield the
usual scalar-tensor theories except for the pure spin-two cases, which
correspond to two inequivalent Lagrangians giving rise to Einstein's equations.
A more constructive self-consistent approach yields a background dependent
Lagrangian.Comment: 7 pages, proceedings of IRGAC'06; typo correcte
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