scholarly journals Supersymmetric extension of Galilean conformal algebras

2009 ◽  
Vol 80 (8) ◽  
Author(s):  
Arjun Bagchi ◽  
Ipsita Mandal
Keyword(s):  
Supersymmetric Extension ◽  
Conformal Algebras

EXTENDED CONFORMAL ALGEBRA WITH N=2 SUPERSYMMETRY

1990 ◽  
Vol 05 (23) ◽  
pp. 4441-4467 ◽  
Author(s):  
T. INAMI ◽  
Y. MATSUO ◽  
I. YAMANAKA
Keyword(s):  
Stress Tensor ◽  
Conformal Algebra ◽  
Operator Product ◽  
Supersymmetric Extension ◽  
Integer Spin ◽  
Half Integer ◽  
Conformal Algebras ◽  
Product Algebra

We construct an N=2 supersymmetric extension of Zamolodchikov’s W algebra. The generators of this extended conformal algebra consist of the stress-tensor superfield and a pair of chiral currents [Formula: see text] of integer or half-integer spin Δ and opposite U(I) charges ±τ. The algorithm for deriving the operator product algebra [Formula: see text] is given for general Δ and the algebra is worked out explicitly for Δ=3/2. The N=2 super-W algebra has an interesting feature not shared by other conformal algebras, i.e. it has two types of algebra—short and long algebras.

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

scholarly journals Loop Schrödinger–Virasoro Lie conformal algebra

2016 ◽  
Vol 27 (06) ◽  
pp. 1650057 ◽  
Author(s):  
Haibo Chen ◽  
Jianzhi Han ◽  
Yucai Su ◽  
Ying Xu
Keyword(s):  
Lie Algebra ◽  
Conformal Algebra ◽  
Cohomology Groups ◽  
Conformal Algebras ◽  
Rank One ◽  
Intermediate Series

In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrödinger–Virasoro Lie algebra and the extended loop Schrödinger–Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank one and [Formula: see text]-graded free intermediate series modules over these two conformal algebras are also classified in the present paper.

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
Sign in / Sign up

Export Citation Format

Share Document