Results 11 to 20 of about 3,271 (120)

Generalised supersymmetry and p-brane actions [PDF]

open access: yes, 1997
We investigate the most general N=1 graded extension of the Poincare algebra, and find the corresponding supersymmetry transformations and the associated superspaces.
Achucarro   +22 more
core   +2 more sources

Supersymmetric Lorentz-Covariant Hyperspaces and self-duality equations in dimensions greater than (4|4) [PDF]

open access: yes, 1997
We generalise the notions of supersymmetry and superspace by allowing generators and coordinates transforming according to more general Lorentz representations than the spinorial and vectorial ones of standard lore.
Alekseevsky   +21 more
core   +2 more sources

Component decompositions and adynkra libraries for supermultiplets in lower dimensional superspaces

open access: yesJournal of High Energy Physics, 2021
We present Adynkra Libraries that can be used to explore the embedding of multiplets of component field (whether on-shell or partial on-shell) within Salam-Strathdee superfields for theories in dimension nine through four.
S. James Gates   +2 more
doaj   +1 more source

The quantum chiral Minkowski and conformal superspaces [PDF]

open access: yes, 2010
We give a quantum deformation of the chiral super Minkowski space in four dimensions as the big cell inside a quantum super Grassmannian. The quantization is performed in such way that the actions of the Poincar\'e and conformal quantum supergroups on ...
Cervantes, D., Fioresi, R., Lledo, M. A.
core   +3 more sources

Super-Laplacians and their symmetries

open access: yesJournal of High Energy Physics, 2017
A super-Laplacian is a set of differential operators in superspace whose highestdimensional component is given by the spacetime Laplacian. Symmetries of super-Laplacians are given by linear differential operators of arbitrary finite degree and are ...
P. S. Howe, U. Lindström
doaj   +1 more source

Supergravities and branes from Hilbert-Poincaré series

open access: yesJournal of High Energy Physics, 2023
The Molien-Weyl integral formula and the Hilbert-Poincaré series have proven to be powerful mathematical tools in relation to gauge theories, allowing to count the number of gauge invariant operators.
C. A. Cremonini   +3 more
doaj   +1 more source

AdS superprojectors

open access: yesJournal of High Energy Physics, 2021
Within the framework of N $$ \mathcal{N} $$ = 1 anti-de Sitter (AdS) supersymmetry in four dimensions, we derive superspin projection operators (or superprojectors). For a tensor superfield V α m α ⋅ n ≔ V α 1 … αm α ⋅ 1 … α ⋅ n $$ {\mathfrak{V}}_{\alpha
E. I. Buchbinder   +3 more
doaj   +1 more source

SUPERBOSONIZATION VIA RIESZ SUPERDISTRIBUTIONS

open access: yesForum of Mathematics, Sigma, 2014
The superbosonization identity of Littelmann, Sommers and Zirnbauer is a new tool for use in studying universality of random matrix ensembles via supersymmetry, which is applicable to non-Gaussian invariant distributions.
ALEXANDER ALLDRIDGE, ZAIN SHAIKH
doaj   +1 more source

Component actions of liberated N $$ \mathcal{N} $$ = 1 supergravity and new Fayet-Iliopoulos terms in superconformal tensor calculus

open access: yesJournal of High Energy Physics, 2021
We explicitly compute the component action of certain recently discovered new N $$ \mathcal{N} $$ = 1 supergravity actions which enlarge the space of scalar potentials allowed by supersymmetry and also contain fermionic interaction terms that become ...
Hun Jang, Massimo Porrati
doaj   +1 more source

Supergeometry and Arithmetic Geometry [PDF]

open access: yes, 2006
We define a superspace over a ring $R$ as a functor on a subcategory of the category of supercommutative $R$-algebras. As an application the notion of a $p$-adic superspace is introduced and used to give a transparent construction of the Frobenius map on
A. Schwarz   +11 more
core   +1 more source

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