Results 31 to 40 of about 5,554 (189)
Component decompositions and adynkra libraries for supermultiplets in lower dimensional superspaces
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
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Quaternionic (super)twistors extensions and general superspaces [PDF]
In a attempt to treat a supergravity as a tensor representation, the 4-dimensional N-extended quaternionic superspaces are constructed from the (diffeomorphyc)graded extension of the ordinary Penrose-twistor formulation, performed in a previous work of ...
Cirilo-Lombardo, Diego Julio+1 more
core +2 more sources
The Superspace of geometrodynamics [PDF]
Wheeler's Superspace is the arena in which Geometrodynamics takes place. I review some aspects of its geometrical and topological structure that Wheeler urged us to take seriously in the context of canonical quantum gravity.
openaire +3 more sources
Supersymmetric Lorentz-Covariant Hyperspaces and self-duality equations in dimensions greater than (4|4) [PDF]
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
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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
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Super-Laplacians and their symmetries
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
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The symplectic origin of conformal and Minkowski superspaces [PDF]
Supermanifolds provide a very natural ground to understand and handle supersymmetry from a geometric point of view; supersymmetry in $d=3,4,6$ and $10$ dimensions is also deeply related to the normed division algebras. In this paper we want to show the
C̆ap A.+9 more
core +2 more sources
It is shown that the equations of motion of eleven-dimensional supergravity follow from setting the dimension zero components of the superspace torsion tensor equal to the Dirac matrices. The proof of this assertion is facilitated by the introduction of a connection taking its values in the Lie algebra of $Spin(1,10)\times R^+$.
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Super-Higgs in Superspace [PDF]
We determine the effective gravitational couplings in superspace whose components reproduce the supergravity Higgs effect for the constrained Goldstino multiplet. It reproduces the known Gravitino sector while constraining the off-shell completion. We show that these couplings arise by computing them as quantum corrections.
Gianni Tallarita, Moritz McGarrie
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SUPERBOSONIZATION VIA RIESZ SUPERDISTRIBUTIONS
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