19 research outputs found
Non-commutative D- and M-brane Bound States
We analyze certain brane bound states in M-theory and their descendants in type IIA string theory, all involving 3-form or 2-form background fluxes. Among them are configurations which represent NCYM, NCOS and ODp-theories in the scaling limit of OM-theory. In particular, we show how the conditions for the embedding to preserve supersymmetry are modified by the presence of the flux and discuss their relations for the various different bound states. Via the formalism of geometric quantization such a deformation of a supersymmetric cycle is related to a non-commutativity of its coordinates. We also study possible non-commutative deformations of the Seiberg-Witten curve of N=2 supersymmetric gauge theories due to non-trivial H-flux
E11 and Spheric Vacuum Solutions of Eleven- and Ten dimensional Supergravity Theories
In view of the newly conjectured Kac-Moody symmetries of supergravity
theories placed in eleven and ten dimensions, the relation between these
symmetry groups and possible compactifications are examined. In particular, we
identify the relevant group cosets that parametrise the vacuum solutions of AdS
x S type.Comment: discussion improve
Constructing Gravitational Dimensions
It would be extremely useful to know whether a particular low energy
effective theory might have come from a compactification of a higher
dimensional space. Here, this problem is approached from the ground up by
considering theories with multiple interacting massive gravitons. It is
actually very difficult to construct discrete gravitational dimensions which
have a local continuum limit. In fact, any model with only nearest neighbor
interactions is doomed. If we could find a non-linear extension for the
Fierz-Pauli Lagrangian for a graviton of mass mg which does not break down
until the scale Lambda_2=(mg Mpl)^(1/2), this could be used to construct a
large class of models whose continuum limit is local in the extra dimension.
But this is shown to be impossible: a theory with a single graviton must break
down by Lambda_3 = (mg^2 Mpl)^(1/3). Next, we look at how the discretization
prescribed by the truncation of the KK tower of an honest extra diemsinon
rasies the scale of strong coupling. It dictates an intricate set of
interactions among various fields which conspire to soften the strongest
scattering amplitudes and allow for a local continuum limit. A number of
canditate symmetries associated with locality in the discretized dimension are
also discussed.Comment: 21 pages, 6 diagrams, 1 figur
Scalar field localization on a brane with cosmological constant
We address the localization of a scalar field, whose bulk-mass M is
considered in a wide range including the tachyonic region,on a three-brane. The
brane with non-zero cosmological constant is embedded in five
dimensional bulk space. We find in this case that the trapped scalar could have
mass which has an upper bound and expressed as with the calculable numbers . We point
out that this result would be important to study the stability of the brane and
cosmological problems based on the brane-world.Comment: 14 pages, 5 figure
E10 and SO(9,9) invariant supergravity
We show that (massive) D=10 type IIA supergravity possesses a hidden rigid
SO(9,9) symmetry and a hidden local SO(9) x SO(9) symmetry upon dimensional
reduction to one (time-like) dimension. We explicitly construct the associated
locally supersymmetric Lagrangian in one dimension, and show that its bosonic
sector, including the mass term, can be equivalently described by a truncation
of an E10/K(E10) non-linear sigma-model to the level \ell<=2 sector in a
decomposition of E10 under its so(9,9) subalgebra. This decomposition is
presented up to level 10, and the even and odd level sectors are identified
tentatively with the Neveu--Schwarz and Ramond sectors, respectively. Further
truncation to the level \ell=0 sector yields a model related to the reduction
of D=10 type I supergravity. The hyperbolic Kac--Moody algebra DE10, associated
to the latter, is shown to be a proper subalgebra of E10, in accord with the
embedding of type I into type IIA supergravity. The corresponding decomposition
of DE10 under so(9,9) is presented up to level 5.Comment: 1+39 pages LaTeX2e, 2 figures, 2 tables, extended tables obtainable
by downloading sourc
Defect Conformal Field Theory and Locally Localized Gravity
Gravity may be "locally localized" over a wide range of length scales on a
d-dimensional anti-de Sitter (AdS) brane living inside AdS_{d+1}. In this paper
we examine this phenomenon from the point of view of the holographic dual
"defect conformal field theory". The mode expansion of bulk fields on the
gravity side is shown to be precisely dual to the "boundary operator product
expansion" of operators as they approach the defect. From the field theory
point of view, the condition for localization is that a "reduced operator"
appearing in this expansion acquires negative anomalous dimension. In
particular, a very light localized graviton exists when a mode arising from the
reduction of the ambient stress-energy tensor to the defect has conformal
dimension Delta ~ d-1. The part of the stress tensor containing the defect
dynamics has dimension Delta = d-1 in the free theory, but we argue that it
acquires an anomalous dimension in the interacting theory, and hence does not
participate in localization in the regime of small backreaction of the brane.
We demonstrate that such an anomalous dimension is consistent with the
conservation of the full stress-energy tensor. Finally, we analyze how to
compute the anomalous dimensions of reduced operators from gravity at leading
order in the interactions with the brane.Comment: 38 pages, LaTeX, 5 figures. v2: typos fixe
Spin-2 spectrum of defect theories
We study spin-2 excitations in the background of the recently-discovered
type-IIB solutions of D'Hoker et al. These are holographically-dual to defect
conformal field theories, and they are also of interest in the context of the
Karch-Randall proposal for a string-theory embedding of localized gravity. We
first generalize an argument by Csaki et al to show that for any solution with
four-dimensional anti-de Sitter, Poincare or de Sitter invariance the spin-2
excitations obey the massless scalar wave equation in ten dimensions. For the
interface solutions at hand this reduces to a Laplace-Beltrami equation on a
Riemann surface with disk topology, and in the simplest case of the
supersymmetric Janus solution it further reduces to an ordinary differential
equation known as Heun's equation. We solve this equation numerically, and
exhibit the spectrum as a function of the dilaton-jump parameter .
In the limit of large a nearly-flat linear-dilaton dimension grows
large, and the Janus geometry becomes effectively five-dimensional. We also
discuss the difficulties of localizing four-dimensional gravity in the more
general backgrounds with NS5-brane or D5-brane charge, which will be analyzed
in detail in a companion paper.Comment: 41 pages, 6 figure
Effective Lagrangians and Universality Classes of Nonlinear Bigravity
We discuss the fully non-linear formulation of multigravity. The concept of
universality classes of effective Lagrangians describing bigravity, which is
the simplest form of multigravity, is introduced. We show that non-linear
multigravity theories can naturally arise in several different physical
contexts: brane configurations, certain Kaluza-Klein reductions and some
non-commutative geometry models. The formal and phenomenological aspects of
multigravity (including the problems linked to the linearized theory of massive
gravitons) are briefly discussed.Comment: 41 pages, 4 Figures, final version to be published in Phys.Rev.