8,750 research outputs found
Supermembrane dynamics from multiple interacting strings
The supermembrane theory on is investigated, for membranes that
wrap once around the compact dimension. The Hamiltonian can be organized as
describing interacting strings, the exact supermembrane corresponding to
. The zero-mode part of strings turn out to be precisely
the modes which are responsible of instabilities. For sufficiently large
compactification radius , interactions are negligible and the
lowest-energy excitations are described by a set of harmonic oscillators. We
compute the physical spectrum to leading order, which becomes exact in the
limit , where and is the
membrane tension. As the radius is decreased, more strings become strongly
interacting and their oscillation modes get frozen. In the zero-radius limit,
the spectrum is constituted of the type IIA superstring spectrum, plus an
infinite number of extra states associated with flat directions of the quartic
potential.Comment: Small corrections. 21 page
Membrane tension and manifest IIB S-duality
A manifestly S-dual, and `12 dimensional', IIB superstring action with an
Sl(2;\bR) doublet of `Born-Infeld' fields is presented. The M-theory origin
of the 12th dimension is the M-2-brane tension, which can be regarded as the
flux of a 3-form worldvolume field strength. The latter is required by the fact
that the M-2-brane can have a boundary on an M-5-brane.Comment: 10 pp. Phyzxx. Typos corrected. Some points clarified. Some refs.
added (Yesterday's revised version wasn't
Solutions of Extended Supersymmetric Matrix Models for Arbitrary Gauge Groups
Energy eigenstates for N=2 supersymmetric gauged quantum mechanics are found
for the gauges groups SU(n) and U(n). The analysis is aided by the existence of
an infinite number of conserved operators. The spectum is continuous.
Perturbative eigenstates for are also presented, a case which is relevant
for the conjectured description of M theory in the infinite momentum frame.Comment: 10 pages, LATEX, no figure
Black Holes and Calogero Models
We argue that the large limit of the -particle
superconformal Calogero model provides a microscopic description of the extreme
Reissner-Nordstr{\"o}m black hole in the near-horizon limit.Comment: Revtex 5pp. Revision includes improved discussion of entropy and
includes an additional referenc
Kaluza-Klein Monopoles and Gauged Sigma-Models
We propose an effective action for the eleven-dimensional (bosonic)
Kaluza-Klein monopole solution. The construction of the action requires that
the background fields admit an Abelian isometry group. The corresponding
sigma-model is gauged with respect to this isometry. The gauged sigma-model is
the source for the monopole solution. A direct (double) dimensional reduction
of the action leads to the effective action of a 10-dimensional D-6-brane (IIA
Kaluza-Klein monopole). We also show that the effective action of the
10-dimensional heterotic Kaluza-Klein monopole (which is a truncation of the
IIA monopole action) is T-dual to the effective action of the solitonic
5-brane. We briefly discuss the kappa-symmetric extension of our proposal and
the possible role of gauged sigma-models in connection with the conjectured
M-theory 9-brane.Comment: Latex file. References added. Version to be published in Physics
Letters
D-branes from M-branes
The 2-brane and 4-brane solutions of ten dimensional IIA supergravity have a
dual interpretation as Dirichlet-branes, or `D-branes', of type IIA superstring
theory and as `M-branes' of an -compactified eleven dimensional
supermembrane theory, or M-theory. This eleven-dimensional connection is used
to determine the ten-dimensional Lorentz covariant worldvolume action for the
Dirichlet super 2-brane, and its coupling to background spacetime fields. It is
further used to show that the 2-brane can carry the Ramond-Ramond charge of the
Dirichlet 0-brane as a topological charge, and an interpretation of the 2-brane
as a 0-brane condensate is suggested. Similar results are found for the
Dirichlet 4-brane via its interpretation as a double-dimensional reduction of
the eleven-dimensional fivebrane. It is suggested that the latter be
interpreted as a D-brane of an open eleven-dimensional supermembrane.Comment: Version to appear in Physics Letters B. Incorporates minor revisions
to previous revised version. 16 p
String-Membrane Duality in Seven Dimensions
The conjectured equivalence of the heterotic string to a compactified
type IIA superstring is combined with the conjectured equivalence of the latter
to a compactified 11-dimensional supermembrane to derive a string membrane
duality in seven dimensions; the membrane is a soliton of the string theory and
vice versa. A prediction of this duality is that the heterotic string is a
compactification of the solitonic 11-dimensional fivebrane. It is
verified that the worldsheet action of the D=10 heterotic string is indeed
obtainable by compactification of the worldvolume action of the
11-dimensional fivebrane, and it is suggested how the worldvolume action of the
D=11 supermebrane may be similarly obtained by compactification of the
worldvolume action of a D=10 heterotic fivebrane. Generalizations to
string-threebrane and membrane-membrane duality are also discussed.Comment: The original version of this paper dealt mostly with one side of
string-membrane duality: the solitonic interpretation of the heterotic string
as a compactified D=11 superfivebrane. The revised version includes a
discussion of the converse prediction: that the supermembrane has a solitonic
interpretation as a compactified heterotic fivebrane. It also includes
a discussion of D=8 membrane-membrane duality, and various changes to the
reference
Infinitely many rigid symmetries of kappa-invariant D-string actions
We show that each rigid symmetry of a D-string action is contained in a
family of infinitely many symmetries. In particular, kappa-invariant D-string
actions have infinitely many supersymmetries. The result is not restricted to
standard D-string actions, but holds for any two-dimensional action depending
on an abelian world-sheet gauge field only via the field strength. It applies
thus also to manifestly covariant D-string actions. Furthermore, it
extends analogously to -dimensional actions with -form gauge
potentials, such as brane actions with dynamical tension.Comment: 5 pages, RevTex; one reference added, complete names of author
Supersymmetric quantum mechanics, supermembranes and Dirichlet particles
We review models of supersymmetric quantum mechanics that are important in
the description of supermembranes and of Dirichlet particles, which play a role
in the context of M-theory.Comment: 13 pages, LaTeX, style file espcrc2.sty, no figures, talk presented
at the 30-th Symposium Ahrenshoop, Buckow, August 199
M(atrix) Theory on an Orbifold and Twisted Membrane
M(atrix) theory on an orbifold and classical two-branes therein are studied
with particular emphasis to heterotic M(atrix) theory on relevant to
strongly coupled heterotic and dual Type IA string theories. By analyzing
orbifold condition on Chan-Paton factors, we show that three choice of gauge
group are possible for heterotic M(atrix) theory: SO(2N), SO(2N+1) or USp(2N).
By examining area-preserving diffeomorphism that underlies the M(atrix) theory,
we find that each choices of gauge group restricts possible topologies of
two-branes. The result suggests that only the choice of SO(2N) or SO(2N+1)
groups allows open two-branes, hence, relevant to heterotic M(atrix) theory. We
show that requirement of both local vacuum energy cancellation and of
worldsheet anomaly cancellation of resulting heterotic string identifies
supersymmetric twisted sector spectra with sixteen fundamental representation
spinors from each of the two fixed points. Twisted open and closed two-brane
configurations are obtained in the large N limit.Comment: latex, 23 pages, version to appear in Nuclear Physics
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