66 research outputs found
4D, N = 1 Supersymmetry Genomics (I)
Presented in this paper the nature of the supersymmetrical representation
theory behind 4D, N = 1 theories, as described by component fields, is
investigated using the tools of Adinkras and Garden Algebras. A survey of
familiar matter multiplets using these techniques reveals they are described by
two fundamental valise Adinkras that are given the names of the cis-Valise
(c-V) and the trans-Valise (t-V). A conjecture is made that all off-shell 4D, N
= 1 component descriptions of supermultiplets are associated with two integers
- the numbers of c-V and t-V Adinkras that occur in the representation.Comment: 53 pages, 19 figures, Report-II of SSTPRS 2008 Added another chapter
for clarificatio
6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields
In this note, we establish the formulation of 6D, N=1 hypermultiplets in
terms of 4D chiral-nonminimal (CNM) scalar multiplets. The coupling of these to
6D, N=1 Yang-Mills multiplets is described. A 6D, N=1 projective superspace
formulation is given in which the above multiplets naturally emerge. The
covariant superspace quantization of these multiplets is studied in details.Comment: 27 pages, LaTeX, minor changes, references adde
Variant supercurrents and Noether procedure
Consistent supercurrent multiplets are naturally associated with linearized
off-shell supergravity models. In arXiv:1002.4932 we presented the hierarchy of
such supercurrents which correspond to all the models for linearized 4D N = 1
supergravity classified a few years ago. Here we analyze the correspondence
between the most general supercurrent given in arXiv:1002.4932 and the one
obtained eight years ago in hep-th/0110131 using the superfield Noether
procedure. We apply the Noether procedure to the general N = 1 supersymmetric
nonlinear sigma-model and show that it naturally leads to the so-called
S-multiplet, revitalized in arXiv:1002.2228.Comment: 6 page
Correspondence between the 3-form and non-minimal multiplet in supersymmetry
In analogy to the chiral-linear multiplet correspondence we establish a
relationship between the 3-form (or gaugino condensate) multiplet and a coupled
non-minimal (0,1/2) multiplet, illustrated by a simple explicit example.Comment: 10 page
Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
We present an algorithmic classification of the irreps of the -extended
one-dimensional supersymmetry algebra linearly realized on a finite number of
fields. Our work is based on the 1-to-1 \cite{pt} correspondence between
Weyl-type Clifford algebras (whose irreps are fully classified) and classes of
irreps of the -extended 1D supersymmetry. The complete classification of
irreps is presented up to . The fields of an irrep are accommodated
in different spin states. N=10 is the minimal value admitting length
irreps. The classification of length-4 irreps of the N=12 and {\em real} N=11
extended supersymmetries is also explicitly presented.\par Tensoring irreps
allows us to systematically construct manifestly (-extended) supersymmetric
multi-linear invariants {\em without} introducing a superspace formalism.
Multi-linear invariants can be constructed both for {\em unconstrained} and
{\em multi-linearly constrained} fields. A whole class of off-shell invariant
actions are produced in association with each irreducible representation. The
explicit example of the N=8 off-shell action of the multiplet is
presented.\par Tensoring zero-energy irreps leads us to the notion of the {\em
fusion algebra} of the 1D -extended supersymmetric vacua.Comment: Final version to appear in JHEP. 52 pages. The part with the complete
classification of irreps (and the explicit presentation of length-4 irreps of
N=9,10,11,12 and N=10 length-5 irreps) is unchanged. An extra section has
been added with an entire class of off-shell invariant actions for arbitrary
values N of the 1D extended supersymmetry. A non-trivial N=8 off-shell action
for the (1,8,7) multiplet has been constructed as an example. It is obtained
in terms of the octonionic structure constant
Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace
Kahler manifolds have a natural hyperkahler structure associated with (part
of) their cotangent bundles. Using projective superspace, we construct
four-dimensional N = 2 models on the tangent bundles of some classical
Hermitian symmetric spaces (specifically, the four regular series of
irreducible compact symmetric Kahler manifolds, and their non-compact
versions). A further dualization yields the Kahler potential for the
hyperkahler metric on the cotangent bundle.Comment: 47 pages, typos corrected, version accepted by JHE
The holographic RG flow in a field theory on a curved background
As shown by Freedman, Gubser, Pilch and Warner, the RG flow in
super-Yang-Mills theory broken to an theory by the addition of a
mass term can be described in terms of a supersymmetric domain wall solution in
five-dimensional gauged supergravity. The FGPW flow is an example
of a holographic RG flow in a field theory on a flat background. Here we put
the field theory studied by Freedman, Gubser, Pilch and Warner on a curved
background, and we construct the supersymmetric domain wall solution
which describes the RG flow in this field theory. This solution is a curved
(non Ricci flat) domain wall solution. This example demonstrates that
holographic RG flows in supersymmetric field theories on a curved
background can be described in terms of curved supersymmetric domain wall
solutions.Comment: 14 pages, LaTe
D-branes in N=2 Strings
We study various aspects of D-branes in the two families of closed N=2
strings denoted by \alpha and \beta in hep-th/0211147. We consider two types of
N=2 boundary conditions, A-type and B-type. We analyse the D-branes geometry.
We compute open and closed string scattering amplitudes in the presence of the
D-branes and discuss the results. We find that, except the space filling
D-branes, the B-type D-branes decouple from the bulk. The A-type D-branes
exhibit inconsistency. We construct the D-branes effective worldvolume
theories. They are given by a dimensional reduction of self-dual Yang-Mills
theory in four dimensions. We construct the D-branes gravity backgrounds.
Finally, we discuss possible N=2 open/closed string dualities.Comment: 25 pages, Latex2
Four dimensional "old minimal" N=2 supersymmetrization of R^4
We write in superspace the lagrangian containing the fourth power of the Weyl
tensor in the "old minimal" d=4, N=2 supergravity, without local SO(2)
symmetry. Using gauge completion, we analyze the lagrangian in components. We
find out that the auxiliary fields which belong to the Weyl and compensating
vector multiplets have derivative terms and therefore cannot be eliminated
on-shell. Only the auxiliary fields which belong to the compensating nonlinear
multiplet do not get derivatives and could still be eliminated; we check that
this is possible in the leading terms of the lagrangian. We compare this result
to the similar one of "old minimal" N=1 supergravity and we comment on possible
generalizations to other versions of N=1,2 supergravity.Comment: 31 pages, no figures. Minor corrections. Details of the full
calculation included as an appendix. Reference adde
A Note on Flux Induced Superpotentials in String Theory
Non-vanishing fluxes in M-theory and string theory compactifications induce a
superpotential in the lower dimensional theory. Gukov has conjectured the
explicit form of this superpotential. We check this conjecture for the
heterotic string compactified on a Calabi-Yau three-fold as well as for warped
M-theory compactifications on Spin(7) holonomy manifolds, by performing a
Kaluza-Klein reduction.Comment: 19 pages, no figure
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