146 research outputs found
BPS Branes in Supergravity
This review considers the properties of classical solutions to supergravity theories with partially unbroken supersymmetry. These solutions saturate Bogomol'ny-Prasad-Sommerfield bounds on their energy densities and are the carriers of the -form charges that appear in the supersymmetry algebra. The simplest such solutions have the character of -dimensional Poincaré-invariant hyperplanes in spacetime, i.e. -branes. Topics covered include the relations between mass densities, charge densities and the preservation of unbroken supersymmetry; interpolating-soliton structure; diagonal and vertical Kaluza-Klein reduction families; multiple-charge solutions and the four D=11 elements; duality-symmetry multiplets; charge quantisation; low-velocity scattering and the geometry of worldvolume supersymmetric -models; and the target-space geometry of BPS instanton solutions obtained by the dimensional reduction of static -branes.This review considers the properties of classical solutions to supergravity theories with partially unbroken supersymmetry. These solutions saturate Bogomol'ny-Prasad-Sommerfield bounds on their energy densities and are the carriers of the -form charges that appear in the supersymmetry algebra. The simplest such solutions have the character of -dimensional Poincar\'e-invariant hyperplanes in spacetime, i.e. -branes. Topics covered include the relations between mass densities, charge densities and the preservation of unbroken supersymmetry; interpolating-soliton structure; diagonal and vertical Kaluza-Klein reduction families; multiple-charge solutions and the four D=11 elements; duality-symmetry multiplets; charge quantisation; low-velocity scattering and the geometry of worldvolume supersymmetric -models; and the target-space geometry of BPS instanton solutions obtained by the dimensional reduction of static -branes
Constrained generalized supersymmetries and superparticles with tensorial central charges. A classification
We classify the admissible types of constraint (hermitian, holomorphic, with
reality conditions on the bosonic sectors, etc.) for generalized
supersymmetries in the presence of complex spinors. We further point out which
constrained generalized supersymmetries admit a dual formulation. For both real
and complex spinors generalized supersymmetries are constructed and classified
as dimensional reductions of supersymmetries from {\em oxidized} space-times
(i.e. the maximal space-times associated to -component Clifford irreps). We
apply these results to sistematically construct a class of models describing
superparticles in presence of bosonic tensorial central charges, deriving the
consistency conditions for the existence of the action, as well as the
constrained equations of motion. Examples of these models (which, in their
twistorial formulation, describe towers of higher-spin particles) were first
introduced by Rudychev and Sezgin (for real spinors) and later by Bandos and
Lukierski (for complex spinors).Comment: 32 pages, LaTe
Large Gauge Transformations in M-theory
We cast M-brane interactions including intersecting membranes and five-branes
in manifestly gauge invariant form using an arrangement of higher dimensional
Dirac surfaces. We show that the noncommutative gauge symmetry present in the
doubled M-theory formalism involving dual 3-form and 6-form gauge fields is
preserved in a form quantised over the integers. The proper context for
discussing large noncommutative gauge transformations is relative cohomology,
in which the 3-form transformation parameters become exact when restricted to
the five-brane worldvolume. We show how this structure yields the lattice of
M-theory charges and gives rise to the conjectured 7D Hopf-Wess-Zumino term.Comment: 45 pages, 9 figures, LaTe
The -string spectrum
We study the spectrum of strings. In particular, we show that for
appropriately chosen space-time signature, one of the scalar fields is singled
out by the spin-3 constraint and is ``frozen'': no creation operators from it
can appear in physical states and the corresponding momentum must assume a
specific fixed value. The remaining theory is unitary and resembles an ordinary
string theory in with anomalies cancelled by appropriate background
charges. In the case of the string, however, the spin-two ``graviton'' is
massive.Comment: 14 Page
Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String Theory
At the leading order, the low-energy effective field equations in string
theory admit solutions of the form of products of Minkowski spacetime and a
Ricci-flat Calabi-Yau space. The equations of motion receive corrections at
higher orders in \alpha', which imply that the Ricci-flat Calabi-Yau space is
modified. In an appropriate choice of scheme, the Calabi-Yau space remains
Kahler, but is no longer Ricci-flat. We discuss the nature of these corrections
at order {\alpha'}^3, and consider the deformations of all the known
cohomogeneity one non-compact Kahler metrics in six and eight dimensions. We do
this by deriving the first-order equations associated with the modified
Killing-spinor conditions, and we thereby obtain the modified supersymmetric
solutions. We also give a detailed discussion of the boundary terms for the
Euler complex in six and eight dimensions, and apply the results to all the
cohomogeneity one examples.Comment: Latex, 49 pages. References added, typos corrected, and discussion
and conclusions extende
Weyl Group Invariance and p-brane Multiplets
In this paper, we study the actions of the Weyl groups of the U duality
groups for type IIA string theory toroidally compactified to all dimensions
. We show how these Weyl groups implement permutations of the field
strengths, and we discuss the Weyl group multiplets of all supersymmetric
-brane solitons.Comment: 31 pages, Late
Superdualities, brane tensions and massive IIA/IIB duality
The gauge transformations of p-form fields in supergravity theories acquire a
non-commuting character when one introduces potentials both for the theory's
original field strengths and for their duals. This has previously been shown in
the ``doubled'' formalism for maximal supergravities, where a generalised
duality relation between original and dual field strengths replaces the
equations of motion. In the doubled formalism, the gauge transformations
generate a superalgebra, and the corresponding symmetries have accordingly been
called ``superdualities.'' The corresponding Noether charges form a
representation of the cohomology ring on the spacetime manifold. In this paper,
we show that the gauge symmetry superalgebra implies certain non-trivial
relations among the various p-brane tensions, which can straightforwardly be
read off from the superalgebra commutation relations. This provides an elegant
derivation of the brane-tension relations purely within a given theory, without
the need to make use of duality relations between different theories, such as
the type IIA/IIB T-duality, although the results are consistent with such
dualities. We present the complete set of brane-tension relations in M-theory,
in the type IIA and type IIB theories, and in all the lower-dimensional maximal
supergravities. We also construct a doubled formalism for massive type IIA
supergravity, and this enables us to obtain the brane-tension relations
involving the D8-brane, purely within the framework of the massive IIA theory.
We also obtain explicit transformations for the nine-dimensional T-duality
between the massive type IIA theory and the Scherk-Schwarz reduced type IIB
theory.Comment: LaTeX, 30 pages, references adde
Embedding of the Bosonic String into the String
We investigate new realisations of the algebra with arbitrary central
charge, making use of the fact that this algebra can be linearised by the
inclusion of a spin-1 current. We use the new realisations with and
to build non-critical and critical BRST operators. Both of these
can be converted by local canonical transformations into a BRST operator for
the Virasoro string with , together with a Kugo-Ojima topological term.
Consequently, these new realisations provide embeddings of the Virasoro string
into non-critical and critical strings.Comment: 11 pages. (Some referencing changes
Covariant Pauli-Villars Regularization of Quantum Gravity at the One Loop Order
We study a regularization of the Pauli-Villars kind of the one loop
gravitational divergences in any dimension. The Pauli-Villars fields are
massive particles coupled to gravity in a covariant and nonminimal way, namely
one real tensor and one complex vector. The gauge is fixed by means of the
unusual gauge-fixing that gives the same effective action as in the context of
the background field method. Indeed, with the background field method it is
simple to see that the regularization effectively works. On the other hand, we
show that in the usual formalism (non background) the regularization cannot
work with each gauge-fixing.In particular, it does not work with the usual one.
Moreover, we show that, under a suitable choice of the Pauli-Villars
coefficients, the terms divergent in the Pauli-Villars masses can be corrected
by the Pauli-Villars fields themselves. In dimension four, there is no need to
add counterterms quadratic in the curvature tensor to the Einstein action
(which would be equivalent to the introduction of new coupling constants). The
technique also works when matter is coupled to gravity. We discuss the possible
consequences of this approach, in particular the renormalization of Newton's
coupling constant and the appearance of two parameters in the effective action,
that seem to have physical implications.Comment: 26 pages, LaTeX, SISSA/ISAS 73/93/E
Supersymmetry counterterms revisited
Superspace power-counting rules give estimates for the loop order at which
divergences can first appear in non-renormalisable supersymmetric field
theories. In some cases these estimates can be improved if harmonic superspace,
rather than ordinary superspace, is used. The new estimates are in agreement
with recent results derived from unitarity calculations for maximally
supersymmetric Yang-Mills theories in five and six dimensions. For N=8
supergravity in four dimensions, we speculate that the onset of divergences may
correspondingly occur at the six loop order.Comment: 10 pages, plain Late
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