scholarly journals Supersymmetric Extension of the Kadomtsev–Petviashvili Hierarchy and the Universal Super Grassmann Manifold

2018 ◽  
Author(s):  
Kimio Ueno ◽  
Hirofumi Yamada
Keyword(s):  
Grassmann Manifold ◽  
Supersymmetric Extension

NONLINEAR REALIZATION OF SUPERSYMMETRY BASED ON THE FRAME MATRIX REPRESENTATION OF THE GRASSMANN MANIFOLD—GEOMETRICAL MEANING OF THE ξ-FIELD IN A SUPERSYMMETRIC EXTENSION OF LOCAL LORENTZ SYMMETRY

1989 ◽  
Vol 04 (11) ◽  
pp. 2765-2777 ◽  
Author(s):  
HIROAKI KANNO
Keyword(s):  
Recent Work ◽  
Linear Group ◽  
General Linear Group ◽  
Grassmann Manifold ◽  
Matrix Representation ◽  
Lorentz Symmetry ◽  
General Linear ◽  
Supersymmetric Extension ◽  
Nonlinear Realization ◽  
Geometrical Meaning

Using the frame matrix representation of the Grassmann manifold, we derive a nonlinear realization of the general linear group. We show that its super-extension reproduces the ξ-field which appears in the recent work on a supersymmetric extension of local Lorentz symmetry by Abe and Nakanishi. This clarifies the geometrical meaning of the ξ-field and we discuss its properties on the basis of this interpretation. The similarity of this ξ-field and the vierbein field is pointed out.

scholarly journals A new supersymmetric extension of conformal mechanics

2000 ◽  
Vol 481 (2-4) ◽  
pp. 315-322 ◽  
Author(s):  
E. Deotto ◽  
G. Furlan ◽  
E. Gozzi
Keyword(s):  
Supersymmetric Extension

scholarly journals Massive rigid string model and its supersymmetric extension

2009 ◽  
Vol 806 (3) ◽  
pp. 489-503 ◽  
Author(s):  
Kiyoshi Kamimura ◽  
Daisuke Shiseki
Keyword(s):  
String Model ◽  
Supersymmetric Extension ◽  
Rigid String

Neighborhood Preserving Embedding on Grassmann Manifold for Image-set Analysis

2021 ◽  
pp. 108335
Author(s):  
Dong Wei ◽  
Xiaobo Shen ◽  
Quansen Sun ◽  
Xizhan Gao ◽  
Zhenwen Ren
Keyword(s):  
Grassmann Manifold ◽  
Image Set

Bounds on packings of spheres in the Grassmann manifold

2002 ◽  
Vol 48 (9) ◽  
pp. 2450-2454 ◽  
Author(s):  
A. Barg ◽  
D.Yu. Nogin
Keyword(s):  
Grassmann Manifold

Supersymmetric extension of the Adler-Bardeen theorem

1985 ◽  
Vol 157 (2-3) ◽  
pp. 169-173 ◽  
Author(s):  
V.A. Novikov ◽  
M.A. Shifman ◽  
A.I. Vainshtein ◽  
V.I. Zakharov
Keyword(s):  
Supersymmetric Extension
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