29 research outputs found
Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets
A new description of free massless superfields of arbitrary superspin
() is proposed. Following the first-order philosophy, we relax some of
the properties (reality, gauge redundancy) of the unconstrained higher spin
prepotentials and we construct first and half order invariants quantities.
These are used to write trivially invariant actions. Additional auxiliary
superfields that play the role of spin connections are used to enforce a new
local symmetry that restores the degrees of freedom
A Codicil To Massless Gauge Superfields of Higher Half-Odd Integer Superspins
We study theories of 4D, N=1 supersymmetric massless, arbitrary higher half
odd-integer superspins. A new series of such theories is found to exist for
arbitrary superspin Y (Y=s+1/2 for any integer s). The lowest member (s=1) of
the series is the original off-shell formulation of 4D, N=1 supergravity first
presented by Breitenlohner in 1977
Linearized Non-Minimal Higher Curvature Supergravity
In the framework of linearized non-minimal supergravity (20/20), we present
the embedding of the model and we analyze its field spectrum. As
usual, the auxiliary fields of the Einstein theory now become propagating,
giving rise to additional degrees of freedom, which organize themselves into
on-shell irreducible supermultiplets. By performing the analysis both in
component and superspace formulations we identify the new supermultiplets. On
top of the two massive chiral superfields reminiscent of the old-minimal
supergravity embedding, the spectrum contains also a consistent physical,
massive, vector supermultiplet and a tachyonic ghost, massive, vector
supermultiplet
Nonlinear Supersymmetry and 3D Supersymmetric Born-Infeld Theory
D-branes acquire effective nonlinear descriptions whose bosonic part is
related to the Born-Infeld action. This nonlinearity has been proven to be a
consequence of the partial supersymmetry breaking,
originating from the solitonic nature of the branes. In this work, we focus on
the effective descriptions of D2-branes. Using the Goldstone multiplet
interpretation of the action and the method of nilpotent
superfields, we construct the 3D, superspace effective action
which makes the first supersymmetry manifest and realizes the second,
spontaneously broken, supersymmetry nonlinearly. We show that there are two
such supersymmetric extensions of the 3D Born-Infeld action which correspond to
the dynamics of the 3D Maxwell-Goldstone multiplet and the 3D projection of the
Tensor-Goldstone multiplet respectively. Moreover, we demonstrate that these
results are derived by applying the constrained superfield approach on the
vector and chiral multiplets after expanding them around a
nontrivial vacuum. We find that these two descriptions are related by a duality
transformation which results in the inversion of a dimensionless parameter. For
both descriptions we derive the explicit bosonic and fermionic parts of the 3D
super Born-Infeld action. Finally, consider the deformation of the
Maxwell-Goldstone superspace action by the characteristic Chern-Simons-like,
gauge invariant, mass term
Higher Spin Superfield interactions with the Chiral Supermultiplet: Conserved Supercurrents and Cubic Vertices
We investigate cubic interactions between a chiral superfield and higher spin
superfield corresponding to irreducible representations of the super-Poincar\'{e} algebra. We do this by demanding an
invariance under the most general transformation, linear in the chiral
superfield. Following Noether's method we construct an infinite tower of higher
spin supercurrent multiplets which are quadratic in the chiral superfield and
include higher derivatives. The results are that a single, massless, chiral
superfield can couple only to the half-integer spin supermultiplets
and for every value of spin there is an appropriate improvement
term that reduces the supercurrent multiplet to a minimal multiplet which
matches that of superconformal higher spins. On the other hand a single,
massive, chiral superfield can couple only to higher spin supermultiplets of
type and there is no minimal
multiplet. Furthermore, for the massless case we discuss the component level
higher spin currents and provide explicit expressions for the integer and
half-integer spin conserved currents together with a R-symmetry current