Results 21 to 30 of about 8,338 (159)

The symplectic origin of conformal and Minkowski superspaces [PDF]

, 2015
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.
R. Fioresi, E. Latini
semanticscholar   +1 more source

Supergravities and branes from Hilbert-Poincaré series

Journal 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, P. A. Grassi, R. Noris, L. Ravera   +3 more
doaj   +1 more source

SUPERBOSONIZATION VIA RIESZ SUPERDISTRIBUTIONS

Forum 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

Singular superspaces [PDF]

, 2013
We introduce a wide category of superspaces, called locally finitely generated, which properly includes supermanifolds, but enjoys much stronger permanence properties, as are prompted by applications.
A. Alldridge, J. Hilgert, Tilmann Wurzbacher   +2 more
semanticscholar   +1 more source

AdS superprojectors

Journal 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, D. Hutchings, S. M. Kuzenko, M. Ponds   +3 more
doaj   +1 more source

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

Journal 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

Riemannian symmetric superspaces and their origin in random‐matrix theory [PDF]

, 1996
Gaussian random‐matrix ensembles defined over the tangent spaces of the large families of Cartan’s symmetric spaces are considered. Such ensembles play a central role in mesoscopic physics, as they describe the universal ergodic limit of disordered and ...
M. Zirnbauer
semanticscholar   +1 more source

$ N = \frac{1}{2} $ deformations of chiral superspaces from new quantum Poincaré and Euclidean superalgebras [PDF]

, 2011
A bstractWe present a large class of supersymmetric classical r-matrices, describing the supertwist deformations of Poincaré and Euclidean superalgebras.
A. Borowiec, J. Lukierski, M. Mozrzymas, V. Tolstoy   +3 more
semanticscholar   +1 more source

The quantum chiral Minkowski and conformal superspaces [PDF]

, 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 ...
D. Cervantes, R. Fioresi, M. Lledó
semanticscholar   +1 more source

Strings on semisymmetric superspaces [PDF]

, 2010
Several string backgrounds which arise in the AdS/CFT correspondence are described by integrable sigma-models. Their target space is always a $$ {\mathbb{Z}_4} $$ supercoset (a semi-symmetric superspace). Here we list all semi-symmetric cosets which have
K. Zarembo
semanticscholar   +1 more source