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of 5 538
pro vyhledávání: '"Superspaces"'
Autor:
Moerland, Johannes
In physics literature about supersymmetry, many authors refer to \emph{super Minkowski spaces}. These spaces are affine supermanifolds with certain distinguished spin structures. In these notes, we make the notion of such spin structures precise and
Externí odkaz:
http://arxiv.org/abs/2411.06165
Autor:
Shu, Bin
In this note, we propose a super version of Jacobian conjecture on the automorphisms of affine superspaces over an algebraically closed field $\mathbb{F}$ of characteristic $0$, which predicts that for a homomorphism $\varphi$ of the polynomial super
Externí odkaz:
http://arxiv.org/abs/2410.07008
Autor:
Koning, Nowar E., Kuzenko, Sergei M.
The standard geometric description of $d$-dimensional anti-de Sitter (AdS) space is a quadric in ${\mathbb R}^{d-1,2}$ defined by $(X^0)^2 - (X^1)^2 - \dots - (X^{d-1})^2 + (X^d)^2 = \ell^2 = \text{const}$. In this paper we provide a supersymmetric g
Externí odkaz:
http://arxiv.org/abs/2406.10875
Autor:
Pimenov, Slava
We study the cohomology of Lie superalgebra of vector fields on affine super-spaces $\mathbb{A}^{m,n}$ with trivial coefficients. In this paper we extend the methodology developed in the previous paper (arXiv:2210.16585) to perform the calculation fo
Externí odkaz:
http://arxiv.org/abs/2403.15868
In this paper we consider those involutions $\theta$ of a finite-dimensional Kac-Moody Lie superalgebra $\mathfrak g$, with associated decomposition $\mathfrak g=\mathfrak k\oplus\mathfrak p$, for which a Cartan subspace $\mathfrak a$ in $\mathfrak p
Externí odkaz:
http://arxiv.org/abs/2401.04652
Autor:
Can, Mahir Bilen
In this article, we present a novel theory of locally semialgebraic superspaces along with Nash supermanifolds. By adapting Batchelor's theorem to our framework, we show that all locally semialgebraic superspaces and affine Nash supermanifolds can be
Externí odkaz:
http://arxiv.org/abs/2310.16949
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Autor:
Kuzenko, Sergei M., Turner, Kai
We develop an embedding formalism for $(p,q)$ anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out. We put
Externí odkaz:
http://arxiv.org/abs/2303.03082
Autor:
Pattanayak, Santosha, Samuel, Preena
In this paper we consider the mixed tensor space of a $\mathbb Z_2$-graded vector space. We obtain a spanning set of invariants of the associated symmetric algebra under the action of the general linear supergroup as well as the queer supergroup over
Externí odkaz:
http://arxiv.org/abs/2308.13930
Autor:
Lavicka, Roman
It turns out that harmonic analysis on the superspace R^{m|2n} is quite parallel to the classical theory on the Euclidean space R^{m} unless the superdimension M:=m-2n is even and non-positive. The underlying symmetry is given by the orthosymplectic
Externí odkaz:
http://arxiv.org/abs/2306.09047