37 citations · 216 across the 18 of their papers we have counts for
18 papers
-graded mechanics: the quantization
N. Aizawa, Z. Kuznetsova, F. Toppan
In the previous paper arXiv:2003.06470 we introduced the notion of -graded classical mechanics and presented a general framework to construct, in…
The sinh-Gordon defect matrix generalized for n defects
N. I. Spano, A. L. Retore, J. F. Gomes +2
In this paper we obtain a general expression for the n-defect matrix for the sinh-Gordon model. This in turn generate the general Bäcklund transformations (BT) for a system with $n…
A world-line framework for 1D Topological Conformal sigma-models
L. Baulieu, N. L. Holanda, F. Toppan
We use world-line methods for pseudo-supersymmetry to construct -invariant actions for the chiral and ( real supermultiplets of the twisted -module re…
Invariant PDEs of Conformal Galilei Algebra as deformations: cryptohermiticity and contractions
N. Aizawa, Z. Kuznetsova, F. Toppan
We investigate the general class of second-order PDEs, invariant under the centrally extended Conformal Galilei Algebras, pointing out that t…
Superconformal mechanics in SU(2|1) superspace
E. Ivanov, S. Sidorov, F. Toppan
Using the worldline SU(2|1) superfield approach, we construct N=4 superconformally invariant actions for the d=1 multiplets (1, 4, 3) and (2, 4, 2). The SU(2|1) superfield framewor…
Chiral and Real N=2 supersymmetric l-conformal Galilei algebras
N. Aizawa, Z. Kuznetsova, F. Toppan
Inequivalent N=2 supersymmetrizations of the l-conformal Galilei algebra in d-spatial dimensions are constructed from the chiral (2,2) and the real (1,2,1) basic supermultiplets of…