608 research outputs found
The One Loop Effective Super-Potential and Non-Holomorphicity
We calculate the Kahlerian and the lowest order non-Kahlerian contributions
to the one loop effective superpotential using super-Feynman graphs in the
massless Wess-Zumino Model, the massive Wess-Zumino Model and N=1, U(1) gauge
theory. We also calculate the Kahlerian term in Yang-Mills Theory for a general
gauge group. Using this latter result we find the one loop Kahlerian
contribution for N=2 Yang-Mills Theory in terms of N=1 superfields and we show
that it can only come from non-holomorphic contributions to the N=2 effective
potential.Comment: LaTeX, 10 pages, 7 figures, uses bezier.sty and ifthen.sty. First
amendment. The results are extended to include the Kahlerian term for a
general renormalisable N=1 supersymmetric theory, containing Wess-Zumino and
Yang-Mills multiplets with a cubic superpotential. One reference has been
changed and one has been added. Second amendment. One acknowledgment has been
altered in the `note added in proof
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
Dualisation of the D=9 Matter Coupled Supergravity
We perform the bosonic dualisation of the matter coupled N=1, D=9
supergravity. We derive the Lie superalgebra which parameterizes the coset map
whose Cartan form realizes the second-order bosonic field equations. Following
the non-linear coset construction we present the first-order formulation of the
bosonic field equations as a twisted self-duality condition.Comment: 16 page
Supersymmetric Fluid Dynamics
Recently Navier-Stokes (NS) equations have been derived from the duality
between the black branes and a conformal fluid on the boundary of AdS_5.
Nevertheless, the full correspondence has to be established between solutions
of supergravity in AdS_5 and supersymmetric field theories on the boundary.
That prompts the construction of NS equations for a supersymmetric fluid. In
the framework of rigid susy, there are several possibilities and we propose one
candidate. We deduce the equations of motion in two ways: both from the
divergenless condition on the energy-momentum tensor and by a suitable
parametrization of the auxiliary fields. We give the complete component
expansion and a very preliminary analysis of the physics of this supersymmetric
fluid.Comment: 24 pages, Latex2
The massless supersymmetric ladder with L rungs
We show that in the massless N=1 supersymmetric Wess-Zumino theory it is
possible to devise a computational strategy by which the x-space calculation of
the ladder 4-point correlators can be carried out without introducing any
regularization. As an application we derive a representation valid at all loop
orders in terms of conformal invariant integrals. We obtain an explicit
expression of the 3-loop ladder diagram for collinear external points.Comment: LaTeX, 17 pages, 8 figure
Why Are There So Many N = 4 Superstrings?
We demonstrate the existence of three off-shell distinct N = 4 superstrings
at the level of manifest locally supersymmetric Lagrangian field theories on
the world sheet.Comment: 13 pages, e-mail: [email protected]
Anomalous N=2 superconformal Ward identities
The N=2 superconformal Ward identities and their anomalies are discussed in
N=2 superspace (including N=2 harmonic superspace), at the level of the
low-energy effective action (LEEA) in four-dimensional N=2 supersymmetric field
theories. The (first) chiral N=2 supergravity compensator is related to the
known N=2 anomalous Ward identity in the N=2 (abelian) vector mulitplet sector.
As regards the hypermultiplet LEEA given by the N=2 non-linear sigma-model
(NLSM), a new anomalous N=2 superconformal Ward identity is found, whose
existence is related to the (second) analytic compensator in N=2 supergravity.
The celebrated solution of Seiberg and Witten is known to obey the (first)
anomalous Ward identity in the Coulomb branch. We find a few solutions to the
new anomalous Ward identity, after making certain assumptions about unbroken
internal symmetries. Amongst the N=2 NLSM target space metrics governing the
hypermultiplet LEEA are the SU(2)-Yang-Mills-Higgs monopole moduli-space
metrics that can be encoded in terms of the spectral curves (Riemann surfaces),
similarly to the Seiberg-Witten-type solutions. After a dimensional reduction
to three spacetime dimensions (3d), our results support the mirror symmetry
between the Coulomb and Higgs branches in 3d, N=4 gauge theories.Comment: 24 pages; two references added; to appear in Nucl. Phys.
Worldsheet Matter Superfields on Half-Shell
In this paper we discuss some of the effects of using "unidexterous"
worldsheet superfields, which satisfy worldsheet differential constraints and
so are partly on-shell, i.e., on half-shell. Most notably, this results in a
stratification of the field space that reminds of "brane-world" geometries.
Linear dependence on such superfields provides a worldsheet generalization of
the super-Zeeman effect. In turn, non-linear dependence yields additional
left-right asymmetric dynamical constraints on the propagating fields, again in
a stratified fashion.Comment: 15 pages, 2 figures; minor algebraic correction
Generalized BF Theory in Superspace as Underlying Theory of 11D Supergravity
We construct a generalized BF theory in superspace that can embed
eleven-dimensional supergravity theory. Our topological BF theory can
accommodate all the necessary Bianchi identities for teleparallel superspace
supergravity in eleven-dimensions, as the simplest but nontrivial solutions to
superfield equations for our superspace action. This indicates that our theory
may have solutions other than eleven-dimensional supergravity, accommodating
generalized theories of eleven-dimensional supergravity. Therefore our
topological theory can be a good candidate for the low energy limit of
M-theory, as an underlying fundamental theory providing a `missing link'
between eleven-dimensional supergravity and M-theory.Comment: 16 pages, latex, two new paragraphs in section 4 and in Concluding
Remarks with two new reference
Massive Supersymmetric Quantum Gauge Theory
We continue the study of the supersymmetric vector multiplet in a purely
quantum framework. We obtain some new results which make the connection with
the standard literature. First we construct the one-dimensional physical
Hilbert space taking into account the (quantum) gauge structure of the model.
Then we impose the condition of positivity for the scalar product only on the
physical Hilbert space. Finally we obtain a full supersymmetric coupling which
is gauge invariant in the supersymmetric sense in the first order of
perturbation theory. By integrating out the Grassmann variables we get an
interacting Lagrangian for a massive Yang-Mills theory related to ordinary
gauge theory; however the number of ghost fields is doubled so we do not obtain
the same ghost couplings as in the standard model Lagrangian.Comment: 13 pages, no figure
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