147 research outputs found
Born-Infeld strings between D-branes
We examine the solutions of world-volume action for a D3-brane being put near
other D3-brane which is replaced by the background configuration of bulk space.
It is shown that the BPS solutions are not affected by the D3-brane background,
and they are interpreted as dyonic strings connecting two branes. On the
contrary, the non-BPS configurations are largely influenced by the background
D-brane, and we find that the solutions with pure electric charge cannot
connect two branes. These solutions are corresponding to the bound state of
brane and anti-brane which has been found by Callan and MaldacenaComment: 14 pages, 8 figure
Intersecting D-Branes in ten and six dimensions
We show how, via -duality, intersecting -Brane configurations in ten
(six) dimensions can be obtained from the elementary -Brane configurations
by embedding a Type IIB -Brane into a Type IIB Nine-Brane (Five-Brane) and
give a classification of such configurations. We show that only a very specific
subclass of these configurations can be realized as (supersymmetric) solutions
to the equations of motion of IIA/IIB supergravity. Whereas the elementary
-brane solutions in are characterized by a single harmonic function,
those in contain two independent harmonic functions and may be viewed as
the intersection of two elementary -branes. Using
string/string/string triality in six dimensions we show that the heterotic
version of the elementary -Brane solutions correspond in ten
dimensions to intersecting Neveu-Schwarz/Neveu-Schwarz (NS/NS) strings or
five-branes and their -duals. We comment on the implications of our results
in other than ten and six dimensions.Comment: 18 pages, Latex, (substantial changes in section 2
Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics
The supergravity description of various configurations of supersymmetric
M-fivebranes wrapped on calibrated cycles of special holonomy manifolds is
studied. The description is provided by solutions of eleven-dimensional
supergravity which interpolate smoothly between a special holonomy manifold and
an event horizon with Anti-de Sitter geometry. For known examples of Anti-de
Sitter solutions, the associated special holonomy metric is derived. One
explicit Anti-de Sitter solution of M-theory is so treated for fivebranes
wrapping each of the following cycles: K\"{a}hler cycles in Calabi-Yau two-,
three- and four-folds; special lagrangian cycles in three- and four-folds;
associative three- and co-associative four-cycles in manifolds; complex
lagrangian four-cycles in manifolds; and Cayley four-cycles in
manifolds. In each case, the associated special holonomy metric is
singular, and is a hyperbolic analogue of a known metric. The analogous known
metrics are respectively: Eguchi-Hanson, the resolved conifold and the
four-fold resolved conifold; the deformed conifold, and the Stenzel four-fold
metric; the Bryant-Salamon-Gibbons-Page-Pope metrics on an
bundle over , and an bundle over or ;
the Calabi hyper-K\"{a}hler metric on ; and the
Bryant-Salamon-Gibbons-Page-Pope metric on an bundle
over . By the AdS/CFT correspondence, a conformal field theory is
associated to each of the new singular special holonomy metrics, and defines
the quantum gravitational physics of the resolution of their singularities.Comment: 1+52 page
Hamiltonian structure and noncommutativity in -brane models with exotic supersymmetry
The Hamiltonian of the simplest super -brane model preserving 3/4 of the
D=4 N=1 supersymmetry in the centrally extended symplectic superspace is
derived and its symmetries are described. The constraints of the model are
covariantly separated into the first- and the second-class sets and the Dirac
brackets (D.B.) are constructed. We show the D.B. noncommutativity of the super
-brane coordinates and find the D.B. realization of the
superalgebra. Established is the coincidence of the D.B. and Poisson bracket
realizations of the superalgebra on the constraint surface and the
absence there of anomaly terms in the commutation relations for the quantized
generators of the superalgebra.Comment: Latex, 27 pages, no figures. Latex packages amsfonts and euscript are
use
On BPS preons, generalized holonomies and D=11 supergravities
We develop the BPS preon conjecture to analyze the supersymmetric solutions
of D=11 supergravity. By relating the notions of Killing spinors and BPS
preons, we develop a moving G-frame method (G=GL(32,R), SL(32,R) or Sp(32,R))
to analyze their associated generalized holonomies. As a first application we
derive here the equations determining the generalized holonomies of k/32
supersymmetric solutions and, in particular, those solving the necessary
conditions for the existence of BPS preonic (31/32) solutions of the standard
D=11 supergravity. We also show that there exist elementary preonic solutions,
i.e. solutions preserving 31 out of 32 supersymmetries in a Chern--Simons type
supergravity. We present as well a family of worldvolume actions describing the
motion of pointlike and extended BPS preons in the background of a D'Auria-Fre
type OSp(1|32)-related supergravity model. We discuss the possible implications
for M-theory.Comment: 11 pages, RevTeX Typos corrected, a short note and references adde
N=31, D=11
We show that eleven-dimensional supergravity backgrounds with thirty one
supersymmetries, N=31, admit an additional Killing spinor and so they are
locally isometric to maximally supersymmetric ones. This rules out the
existence of simply connected eleven-dimensional supergravity preons. We also
show that N=15 solutions of type I supergravities are locally isometric to
Minkowski spacetime.Comment: 17 page
The holonomy of the supercovariant connection and Killing spinors
We show that the holonomy of the supercovariant connection for M-theory
backgrounds with Killing spinors reduces to a subgroup of SL(32-N,\bR)\st
(\oplus^N \bR^{32-N}). We use this to give the necessary and sufficient
conditions for a background to admit Killing spinors. We show that there is
no topological obstruction for the existence of up to 22 Killing spinors in
eleven-dimensional spacetime. We investigate the symmetry superalgebras of
supersymmetric backgrounds and find that their structure constants are
determined by an antisymmetric matrix. The Lie subalgebra of bosonic generators
is related to a real form of a symplectic group. We show that there is a
one-one correspondence between certain bases of the Cartan subalgebra of
sl(32, \bR) and supersymmetric planar probe M-brane configurations. A
supersymmetric probe configuration can involve up to 31 linearly independent
planar branes and preserves one supersymmetry. The space of supersymmetric
planar probe M-brane configurations is preserved by an SO(32,\bR) subgroup of
SL(32, \bR).Comment: 27 pages, a key reference was added. v3: minor change
Multiple Intersections of D-branes and M-branes
We give a classification of all multiple intersections of D-branes in ten
dimensions and M-branes in eleven dimensions that corresponds to threshold BPS
bound states. The residual supersymmetry of these composite branes is
determined. By dimensional reduction composite p-branes in lower dimensions can
be constructed. We emphasize in dimensions D greater or equal than two, those
solutions which involve a single scalar and depend on a single harmonic
function. For these extremal branes we obtain the strength of the coupling
between the scalar and the gauge field. In particular we give a D-brane and
M-brane interpretation of extreme p-branes in two, three and four dimensions.Comment: 28 pages, LaTeX, 4 figures, corrections in table 1 and figure
BPS preons and the AdS-M-algebra
We present here the AdS generalization of BPS preons, which were introduced
as the hypothetical constituents of M-theory preserving all but one
supersymmetries. Our construction, suggested by the relation of `lower
dimensional preons' with higher spin theories, can be considered as a
deformation of the M-algebraic description of the single supersymmetry broken
by a preon, and provides another reason to identify the AdS generalization of
the M-algebra, which we call the AdS-M-algebra, with osp(1|32).Comment: Plain latex, no figures, 19 pages minor corrections, one ref. added,
as published in JHEP 04 (2008) 06
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