Results 21 to 30 of about 7,967 (169)
Three-dimensional (p,q) AdS superspaces and matter couplings [PDF]
, 2012 We introduce N-extended (p,q) AdS superspaces in three space-time dimensions, with p+q=N and p>=q, and analyse their geometry. We show that all (p,q) AdS superspaces with X^{IJKL}=0 are conformally flat.
A Achúcarro +55 more
core +1 more source
Super-Laplacians and their symmetries
Journal 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
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 +3 more
doaj +1 more source
On the Hopf algebra of noncommutative symmetric functions in superspace [PDF]
, 2022 We study in detail the Hopf algebra of noncommutative symmetric functions in superspace sNSym, introduced by Fishel, Lapointe and Pinto. We introduce a family of primitive elements of sNSym and extend the noncommutative elementary and power sum functions to superspace. Then, we give formulas relating these families of functions.
arxiv +1 more source
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. In this paper we want to show the
C̆ap A. +9 more
core +2 more sources
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
Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
Physics Letters B, 2022 The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum ...
Jerzy Lukierski, Mariusz Woronowicz
doaj
Spherical functions on homogeneous superspaces [PDF]
JMP, 46, 043513 (2005), 2006 Homogeneous superspaces arising from the general linear supergroup are studied within a Hopf algebraic framework. Spherical functions on homogeneous superspaces are introduced, and the structures of the superalgebras of the spherical functions on classes of homogeneous superspaces are described explicitly.
arxiv +1 more source
N=4 supersymmetric Yang-Mills theories in AdS_3 [PDF]
, 2014 For all types of N=4 anti-de Sitter (AdS) supersymmetry in three dimensions, we construct manifestly supersymmetric actions for Abelian vector multiplets and explain how to extend the construction to the non-Abelian case.
Kuzenko, Sergei M. +1 more
core +2 more sources
AdS (super)projectors in three dimensions and partial masslessness
Journal of High Energy Physics, 2021 We derive the transverse projection operators for fields with arbitrary integer and half-integer spin on three-dimensional anti-de Sitter space, AdS3. The projectors are constructed in terms of the quadratic Casimir operators of the isometry group SO(2 ...
Daniel Hutchings +2 more
doaj +1 more source