2,596 research outputs found

### Brane Dualities in Non-relativistic Limit

We analyze brane dualities in the non-relativistic limit of the worldvolume
actions. In particular we have analyzed how the non-relativistic M2-brane is
related via these dualities to non-relativistic D2-brane, non-relativistic IIA
fundamental string and also, by using T-duality, to non-relativistic D1-string.
These actions coincide with ones obtained from relativistic actions by taking
non-relativistic limit, showing that the non-relativistic limit and the
dualities commute in these cases.Comment: 21 pages, 1 figur

### W$(2,4)$, Linear and Non-local \W-Algebras in Sp(4) Particle Model

We comment on relations between the linear W_{2,4}^{linear} algebra and
non-linear W(2,4)$ algebra appearing in a Sp(4) particle mechanics model by
using Lax equations. The appearance of the non-local V_{2,2} algebra is also
studied.Comment: 10 pages, late

### Non-Relativistic Superstrings: A New Soluble Sector of AdS_5xS^5

We find a new sector of string theory in AdS_5xS^5 describing
non-relativistic superstrings in that geometry. The worldsheet theory of
non-relativistic strings in AdS_5xS^5 is derived and shown to reduce to a
supersymmetric free field theory in AdS_2. Non-relativistic string theory
provides a new calculable setting in which to study holography.Comment: 29 pages, LATEX forma

### Space-time Vector Supersymmetry and Massive Spinning Particle

We construct the action of a relativistic spinning particle from a non-linear
realization of a space-time odd vector extension of the Poincar\'e group. For
particular values of the parameters appearing in the lagrangian the model has a
gauge world-line supersymmetry.{As a consequence of this local symmetry there
are BPS solutions in the model preserving 1/5 of the supersymmetries.} A
supersymmetric invariant quantization produces two decoupled 4d Dirac
equations.Comment: 14 pages. Few references and two comments adde

### Diffeomorphism, kappa transformations and the theory of non-linear realisations

We will show how the theory of non-linear realisations can be used to
naturally incorporate world line diffeomorphisms and kappa transformations for
the point particle and superpoint particle respectively. Similar results also
hold for a general p-brane and super p-brane, however, we must in these cases
include an additional Lorentz transformation.Comment: 19pages, no figure. References are added and typos are correcte

### Hamiltonian formulation of nonAbelian noncommutative gauge theories

We implement the Hamiltonian treatment of a nonAbelian noncommutative gauge
theory, considering with some detail the algebraic structure of the
noncommutative symmetry group. The first class constraints and Hamiltonian are
obtained and their algebra derived, as well as the form of the gauge invariance
they impose on the first order action.Comment: enlarged version, 7 pages, RevTe

### A Note on Unitarity of Non-Relativistic Non-Commutative Theories

We analyze the unitarity of a non-relativistic non-commutative scalar field
theory. We show that electric backgrounds spoil unitarity while magnetic ones
do not. Furthermore, unlike its relativistic counterparts, unitarity can not be
restored (at least at the level of one-to-one scattering amplitude) by adding
new states to the theory. This is a signal that the model cannot be embedded in
a natural way in string theory.Comment: 6 pages, 2 figures. References adde

### Particle Mechanics Models with W-symmetries

We introduce a particle mechanics model with Sp($2M$) gauge invariance.
Different partial gauge-fixings by means of sl(2) embeddings on the gauge
algebra lead to reduced models which are invariant under diffeomorphisms and
classical non-linear \W-transformations as the residual gauge symmetries thus
providing a set of models of gauge and matter fields coupled in a \W-invariant
way. The equations of motion for the matter variables give Lax operators in a
matrix form. We examine several examples in detail and discuss the issue of
integration of infinitesimal \W-transformations.Comment: 34 pages, LaTeX, no figures. Several changes (including Title) and
new material added. Version to appear in Ann. Phy

### Zero-curvature condition in two dimensions. Relativistic particle models and finite \W-transformations

A relation between an $Sp(2M)$ gauge particle model and the zero-curvature
condition in a two-dimensional gauge theory is presented. For the $Sp(4)$ case
we construct finite \W-transformations.Comment: 14 pages, UTTG-04-9

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