310 research outputs found
A Detailed Investigation of First and Second Order Supersymmetries for Off-Shell N = 2 and N = 4 Supermultiplets
This paper investigates the d = 4, N = 4 Abelian, global Super-Yang Mills
system (SUSY-YM). It is shown how the N = 2 Fayet Hypermultiplet (FH) and N = 2
vector multiplet (VM) are embedded within. The central charges provide a
plethora of information as to further symmetries of the Lagrangian. Several of
these symmetries are calculated to second order. It is hoped that
investigations such as these may yield avenues to help solve the auxiliary
field closure problem for d = 4, N = 4, SUSY-YM and the d = 4, N = 2
Fayet-Hypermultiplet, without using an infinite number of auxiliary fields.Comment: 47 pages, reworded text relating to central charges, renumbered
pages, updated title page and reference
On non-minimal N=4 supermultiplets in 1D and their associated sigma-models
We construct the non-minimal linear representations of the N=4 Extended
Supersymmetry in one-dimension. They act on 8 bosonic and 8 fermionic fields.
Inequivalent representations are specified by the mass-dimension of the fields
and the connectivity of the associated graphs. The oxidation to minimal N=5
linear representations is given. Two types of N=4 sigma-models based on
non-minimal representations are obtained: the resulting off-shell actions are
either manifestly invariant or depend on a constrained prepotential. The
connectivity properties of the graphs play a decisive role in discriminating
inequivalent actions. These results find application in partial breaking of
supersymmetric theories.Comment: 24 pages, 6 figure
Non-gravitational exceptional supermultiplets
We examine non-gravitational minimal supermultiplets which are based on the
tensor gauge fields appearing as matter fields in exceptional generalised
geometry. When possible, off-shell multiplets are given. The fields in the
multiplets describe non-gravitational parts of the internal dynamics of
compactifications of M-theory. In flat backgrounds, they enjoy a global
U-duality symmetry, but also provide multiplets with a possibility of coupling
to a generalised exceptional geometry.Comment: 11 pp., plain te
L-branes
The superembedding approach to -branes is used to study a class of
-branes which have linear multiplets on the worldvolume. We refer to these
branes as L-branes. Although linear multiplets are related to scalar multiplets
(with 4 or 8 supersymmetries) by dualising one of the scalars of the latter to
a -form field strength, in many geometrical situations it is the linear
multiplet version which arises naturally. Furthermore, in the case of 8
supersymmetries, the linear multiplet is off-shell in contrast to the scalar
multiplet. The dynamics of the L-branes are obtained by using a systematic
procedure for constructing the Green-Schwarz action from the superembedding
formalism. This action has a Dirac-Born-Infeld type structure for the -form.
In addition, a set of equations of motion is postulated directly in superspace,
and is shown to agree with the Green-Schwarz equations of motion.Comment: revised version, minor changes, references added, 22 pages, no
figures, LaTe
Think Different: Applying the Old Macintosh Mantra to the Computability of the SUSY Auxiliary Field Problem
Starting with valise supermultiplets obtained from 0-branes plus field
redefinitions, valise adinkra networks, and the "Garden Algebra," we discuss an
architecture for algorithms that (starting from on-shell theories and, through
a well-defined computation procedure), search for off-shell completions. We
show in one dimension how to directly attack the notorious "off-shell auxiliary
field" problem of supersymmetry with algorithms in the adinkra network-world
formulation.Comment: 28 pages, 1 figur
Exploring the Abelian 4D, = 4 Vector-Tensor Supermultiplet and Its Off-Shell Central Charge Structure
An abelian 4D, = 4 vector supermultiplet allows for a duality
transformation to be applied to one of its spin-0 states. The resulting theory
can be described as an abelian 4D, = 4 vector-tensor
supermultiplet. It is seen to decompose into a direct sum of an off-shell 4D,
= 2 vector supermultiplet and an off-shell 4D, = 2
tensor supermultiplet. The commutator algebra of the other two supersymmetries
are still found to be on-shell. However, the central charge structure in the
resulting 4D, = 4 vector-tensor supermultiplet is considerably
simpler that that of the parent abelian 4D, = 4 vector
supermultiplet. This appears to be due to the replacement of the usual SO(4)
symmetry associated with the abelian 4D, = 4 vector
supermultiplet being replaced by a
GL(2,)GL(2,) symmetry in the 4D,
= 4 vector-tensor supermultiplet. The code detailing the
calculations is available open-source at the HEPTHools Data Repository on
GitHub.Comment: HEPTHools Data Repository available open-source at
https://hepthools.github.io/Data/, added references and related content,
corrected group from SU(2) to GL(2,R
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