29 research outputs found
Superspace Geometrical Representations of Extended Super Virasoro Algebras
Utilizing sets of super-vector fields (derivations), explicit expressions are
obtained for; (a.) the 1D, N-extended superconformal algebra, (b.) the 1D,
N-extended super Virasoro algebra for N = 1, 2 and 4 and (c.) a geometrical
realization (GR) covering algebra that contains the super Virasoro algebra for
arbitrary values of N. By use of such vector fileds, the super Virasoro algebra
is embedded as a geometrical and model-independent structure in 1D and 2D
Aleph-null-extended superspace.Comment: 13 pages, Late
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
Searching for Supersymmetry in Hadrons
We discuss the possibility of the existence of a long-lived top squark
() and its motivation. If the stop is indeed metastable,
it forms hadrons. We study properties of the low-energy stop-containing hadrons
and their signatures in collider experiments.Comment: 14 pages, 2 figure
Irreducible Decomposition of Products of 10D Chiral Sigma Matrices
We review the enveloping algebra of the 10 dimensional chiral sigma matrices.
To facilitate the computation of the product of several chiral sigma matrices
we have developed a symbolic program. Using this program one can reduce the
multiplication of the sigma matrices down to linear combinations of irreducilbe
elements. We are able to quickly derive several identities that are not
restricted to traces. A copy of the program written in the Mathematica language
is provided for the community.Comment: 28 pages, Mathematica Program sigmavector10D.nb is included.
Submitted ot CP
Manifest (4,0) Supersymmetry, Sigma Models and The ADHM Instaton Construction
Utilizing (4,0) superfields, we discuss aspects of supersymmetric sigma
models and the ADHM construction of instantons a' la Witten.Comment: 13 pages, Late
Chiral Supergravitons Interacting with a 0-Brane N-Extended NSR Super-Virasoro Group
We continue the development of the actions, S_{AFF}, by examining the cases
where there are N fermionic degrees of freedom associated with a 0-brane. These
actions correspond to the interaction of the N-extended super Virasoro algebra
with the supergraviton and the associated SO(N) gauge field that accompanies
the supermultiplet. The superfield formalism is used throughout so that
supersymmetry is explicit.Comment: PACS: 04.65.+e, 11.15.-q, 11.25.-w, 12.60.
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
Superconformal Symmetry in 11D Superspace and the M-Theory Effective Action
We establish a theorem about non-trivial 11D supergravity fluctuations that
are conformally related to flat superspace geometry. Under the assumption that
a theory of conformal 11D supergravity exists, similar in form to that of
previously constructed theories in lower dimensions, this theorem demands the
appearance of non-vanishing dimension 1/2 torsion tensors in order to
accommodate a non-trivial 11D conformal compensator and thus M-theory
corrections that break super-conformal symmetry. At the complete non-linear
level, a presentation of a conventional minimal superspace realization of Weyl
symmetry in eleven dimensional superspace is also described. All of our results
taken together imply that there exists some realization of conformal symmetry
relevant for the M-theory effective action. We thus led to conjecture this is
also true for the full and complete M-theory.Comment: 24 pages, no figures, LaTeX twice, subsequent expanded treatment of
conf. ge
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
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