1,949 research outputs found
QuasiSupersymmetric Solitons of Coupled Scalar Fields in Two Dimensions
We consider solitonic solutions of coupled scalar systems, whose Lagrangian
has a potential term (quasi-supersymmetric potential) consisting of the square
of derivative of a superpotential. The most important feature of such a theory
is that among soliton masses there holds a Ritz-like combination rule (e.g.
), instead of the inequality ()
which is a stability relation generally seen in N=2 supersymmetric theory. The
promotion from N=1 to N=2 theory is considered.Comment: 18 pages, 5 figures, uses epsbox.st
Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory
In this paper I determine the general form of the physical and mathematical
restrictions that arise on the interactions of gravity and scalar fields in the
2T field theory setting, in d+2 dimensions, as well as in the emerging shadows
in d dimensions. These constraints on scalar fields follow from an underlying
Sp(2,R) gauge symmetry in phase space. Determining these general constraints
provides a basis for the construction of 2T supergravity, as well as physical
applications in 1T-field theory, that are discussed briefly here, and more
detail elsewhere. In particular, no scale models that lead to a vanishing
cosmological constant at the classical level emerge naturally in this setting.Comment: 22 pages. Footnote 14 added in v
A Relativistic Quaternionic Wave Equation
We study a one-component quaternionic wave equation which is relativistically
covariant. Bi-linear forms include a conserved 4-current and an antisymmetric
second rank tensor. Waves propagate within the light-cone and there is a
conserved quantity which looks like helicity. The principle of superposition is
retained in a slightly altered manner. External potentials can be introduced in
a way that allows for gauge invariance. There are some results for scattering
theory and for two-particle wavefunctions as well as the beginnings of second
quantization. However, we are unable to find a suitable Lagrangian or an
energy-momentum tensor.Comment: 19 pages; minor corrections in Section 11 and Appendix
Moduli Stabilization in Type IIB Flux Compactifications
In the present paper, we reexamine the moduli stabilization problem of the
Type IIB orientifolds with one complex structure modulus in a modified two-step
procedure. The full superpotential including both the 3-form fluxes and the
non-perturbative corrections is used to yield a F-term potential. This
potential is simplified by using one optimization condition to integrate the
dilaton field out. It is shown that having a locally stable supersymmetric
Anti-deSitter vacuum is not inevitable for these orientifolds, which depend
strongly upon the details of the flux parameters. For those orientifolds that
have stable/metastable supersymmetry-broken minima of the F-term potential, the
deSitter vacua might emerge even without the inclusion of the uplifting
contributions.Comment: 10 pages, LaTeX2e style. The paper is rewritten in ver3 with more
references adde
On Local Dilatation Invariance
The relationship between local Weyl scaling invariant models and local
dilatation invariant actions is critically scrutinized. While actions invariant
under local Weyl scalings can be constructed in a straightforward manner,
actions invariant under local dilatation transformations can only be achieved
in a very restrictive case. The invariant couplings of matter fields to an
Abelian vector field carrying a non-trivial scaling weight can be easily built,
but an invariant Abelian vector kinetic term can only be realized when the
local scale symmetry is spontaneously broken.Comment: 3 page
de-Sitter vacua via consistent D-terms
We introduce a new mechanism for producing locally stable de-Sitter or
Minkowski vacua, with spontaneously broken N=1 supersymmetry and no massless
scalars, applicable to superstring and M-theory compactifications with fluxes.
We illustrate the mechanism with a simple N=1 supergravity model that provides
parametric control on the sign and the size of the vacuum energy. The crucial
ingredient is a gauged U(1) that involves both an axionic shift and an
R-symmetry, and severely constrains the F- and D-term contributions to the
potential.Comment: 4 pages, 1 figure, v3: published versio
Structure of the Three-dimensional Quantum Euclidean Space
As an example of a noncommutative space we discuss the quantum 3-dimensional
Euclidean space together with its symmetry structure in great detail.
The algebraic structure and the representation theory are clarified and
discrete spectra for the coordinates are found. The q-deformed Legendre
functions play a special role. A completeness relation is derived for these
functions.Comment: 22 pages, late
A manifestly N=2 supersymmetric Born-Infeld action
A manifestly N=2 supersymmetric completion of the four-dimensional
Nambu-Goto-Born-Infeld action, which is self-dual with respect to
electric-magnetic duality, is constructed in terms of the abelian N=2
superfield strength W in the conventional N=2 superspace. A relation to the
known N=1 supersymmetric Born-Infeld action in N=1 superspace is established.
The action found can be considered either as the Goldstone action associated
with partial breaking of N=4 supersymmetry down to N=2, with the N=2 vector
superfield being a Goldstone field, or, equivalently, as the gauge-fixed
superfield action of a D-3-brane in flat six-dimensional ambient spacetime.Comment: 11 pages, LaTeX, eq.(42) is correcte
Realization of the Three-dimensional Quantum Euclidean Space by Differential Operators
The three-dimensional quantum Euclidean space is an example of a
non-commutative space that is obtained from Euclidean space by -deformation.
Simultaneously, angular momentum is deformed to , it acts on the
-Euclidean space that becomes a -module algebra this way. In this
paper it is shown, that this algebra can be realized by differential operators
acting on functions on . On a factorspace of
a scalar product can be defined that leads to a
Hilbert space, such that the action of the differential operators is defined on
a dense set in this Hilbert space and algebraically self-adjoint becomes
self-adjoint for the linear operator in the Hilbert space. The self-adjoint
coordinates have discrete eigenvalues, the spectrum can be considered as a
-lattice.Comment: 13 pages, late
Sigma Model BPS Lumps on Torus
We study doubly periodic Bogomol'nyi-Prasad-Sommerfield (BPS) lumps in
supersymmetric CP^{N-1} non-linear sigma models on a torus T^2. Following the
philosophy of the Harrington-Shepard construction of calorons in Yang-Mills
theory, we obtain the n-lump solutions on compact spaces by suitably arranging
the n-lumps on R^2 at equal intervals. We examine the modular invariance of the
solutions and find that there are no modular invariant solutions for n=1,2 in
this construction.Comment: 15 pages, 3 figures, published versio
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