30,387 research outputs found
On Aspects and Implications of the New Covariant 4D, N = 1 Green-Schwarz Sigma-model Action
Utilizing (2,0) superfields, we write a supersymmetry-squared action and
partially relate it to the new formulation of the Green-Schwarz action given by
Berkovits and Siegel. Recent results derived from this new formulation are
discussed within the context of some prior proposals in the literature. Among
these, we note that 4D, N = 1 beta-FFC superspace geometry with a composite
connection for R-symmetry has now been confirmed as the only presently known
limit of 4D, N = 1 heterotic string theory that is derivable in a completely
rigorous manner.Comment: 15 pages, LaTe
A Truly Crazy Idea About Type-IIB Supergravity and Heterotic Sigma-Models
We construct an explicit and manifestly (1,0) heterotic sigma-model where the
background fields are those of 10D, N=IIB supergravity.Comment: 10 Pages, Latex (self contained macros
Haploid (2,2)-Superfields In 2-Dimensional Spacetime
Superfields in 2-dimensional (2,2)-superspacetime which are independent of
(some) half of the fermionic coordinates are discussed in a hopefully both
comprehensive and comprehensible manner. An embarrassing abundance of these
simplest `building blocks' makes it utterly impossible to write down the `most
general Lagrangian'. With some ad hoc but perhaps plausible restrictions, a
rather general Lagrangian is found, which exhibits many of the phenomena that
have been studied recently, and harbors many more. In particular, it becomes
patently obvious that the (2,2)-supersymmetric 2-dimensional field theory
target space geometries (many of which are suitable for (super)string
propagation) are far more general than Kahler manifolds with holomorphic
bundles.Comment: 59 pages, 6 figures; plain TeX, requires harvmac.tex and epsf.tex,
typos corrected & two references adde
Toward an Off - Shell 11D Supergravity Limit of M - Theory
We demonstrate that in addition to the usual fourth-rank superfield which describes the on-shell theory, a spinor superfield (J_\a ) can
be introduced into the 11D geometrical tensors with engineering dimensions less
or equal to one in such a way to satisfy the Bianchi identities in superspace.
The components arising from J_\a are identified as some of the auxiliary
fields required for a full off-shell formulation. Our result indicates that
eleven dimensional supergravity does not have to be completely on-shell. The
\k\-symmetry of the supermembrane action in the presence of our partial
off-shell supergravity background is also confirmed. Our modifications to
eleven-dimensional supergravity theory are thus likely relevant for M-theory.
We suggest our proposal as a significant systematic off-shell generalization of
eleven-dimensional supergravity theory.Comment: 13 pages, LATEX (all macros included. No figures
Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories
We give the superfield quantization of chiral/nonminimal (CNM) scalar
multiplets defined by pairs of N=1 chiral and complex linear scalar superfields
kinematically coupled. In the pure massive case we develop the covariant
quantization when CNM multiplets are coupled to background gauge superfields.
Furthermore, we study some properties of N=1 supersymmetric Yang--Mills
theories constructed using CNM scalar matter superfields. In particular, we
compute the one--loop contribution to the effective action for the matter
superfields, we study the analogue of the Konishi anomaly and discuss some
properties of the glueball superpotential.Comment: 15 pages, LaTeX, references added, new comments in section 2, section
4 modified, new section 6 inserted, version to appear on Phys. Lett.
Vector Multiplets and the Phases of N = 2 Theories in 2D Through the Looking Glass
We extend Witten's discussion of actions related to the Landau-Ginzburg
description of Calabi-Yau hypersurfaces in weighted projective spaces to cover
the mirror class of models that include twisted chiral matter multiplets and a
newly discovered 2D, N = 2 twisted vector multiplet. Certain integrability
obstructions are observed that constrain the most general constructions
containing both matter and twisted matter simultaneously. It is conjectured
that knot invariants will ultimately play a role in describing the most general
such model.Comment: 11 page
Two Two-Dimensional Supergravity Theories from Calabi-Yau Four-Folds
We consider two-dimensional supergravity theories with four supercharges
constructed from compactification of Type II string theory on a generic
Calabi-Yau four-fold. In Type IIA and Type IIB cases, respectively, new
superspace formulations of N=(2,2) and N=(0,4) dilaton supergravities are found
and their coupling to matter multiplets is discussed.Comment: 47 pages, harvma
Yang-Mills and Supersymmetry Covariance Must Coexist
Supersymmetry and Yang-Mills type gauge invariance are two of the essential
properties of most, and possibly the most important models in fundamental
physics. Supersymmetry is nearly trivial to prove in the (traditionally
gauge-noncovariant) superfield formalism, whereas the gauge-covariant formalism
makes gauge invariance manifest. In 3+1-dimensions, the transformation from one
into the other is elementary and essentially unique. By contrast, this
transformation turns out to be impossible in the most general 1+1-dimensional
case. In fact, only the (manifestly) gauge- and supersymmetry-covariant
formalism guarantees both universal gauge-invariance and supersymmetry.Comment: 17 pages, TeX+harvma
The CNM-Hypermultiplet Nexus
We consider additional properties of CNM (chiral-nonminimal) models. We show
how 4D, N = 2 nonlinear sigma-models can be described solely in terms of N = 1
superfield CNM doublets. These actions are described by a Kahler potential
together with an infinite number (in the general case) of terms involving its
successively higher derivatives. We briefly discuss how N = 2 supersymmetric
extension of the previously proposed N = 1 CNM low-energy QCD effective action
can be achievedComment: 23 p, LaTeX twice, no figure
Geometry and beta-functions for N=2 matter models in two dimensions
We study renormalizable nonlinear sigma-models in two dimensions with N=2
supersymmetry described in superspace in terms of chiral and complex linear
superfields. The geometrical structure of the underlying manifold is
investigated and the one-loop divergent contribution to the effective action is
computed. The condition of vanishing beta-function allows to identify a class
of models which satisfy this requirement and possess N=4 supersymmetry.Comment: latex file, 20 pages, no figure
- …