scholarly journals The inhomogeneous invariance quantum supergroup of supersymmetry algebra

2008 ◽  
Vol 372 (38) ◽  
pp. 5955-5958 ◽  
Author(s):  
Azmi Ali Altıntaṣ ◽  
Metin Arık
Keyword(s):  
Supersymmetry Algebra ◽  
Quantum Supergroup

scholarly journals A FOUR-DIMENSIONAL SUPERSTRING FROM THE BOSONIC STRING WITH SOME APPLICATIONS

2005 ◽  
Vol 20 (01) ◽  
pp. 99-128 ◽  
Author(s):  
B. B. DEO ◽  
L. MAHARANA
Keyword(s):  
Standard Model ◽  
Central Charge ◽  
Virasoro Algebra ◽  
Low Energy ◽  
Majorana Fermions ◽  
Modular Invariance ◽  
Model Group ◽  
Supersymmetry Algebra ◽  
Four Dimensions ◽  
Bosonic Representation

A string in four dimensions is constructed by supplementing it with 44 Majorana fermions. The later are represented by 11 vectors in the bosonic representation SO (D-1,1). The central charge is 26. The fermions are grouped in such a way that the resulting action is worldsheet supersymmetric. The energy–momentum and current generators satisfy the super-Virasoro algebra. GSO projections are necessary for proving modular invariance. Space–time supersymmetry algebra is deduced and is substantiated for specific modes of zero mass. The symmetry group of the model can descend to the low energy standard model group SU (3)× SU L(2)× U Y(1) through the Pati–Salam group.

N=1 de Sitter supersymmetry algebra

2005 ◽  
Vol 627 (1-4) ◽  
pp. 217-223 ◽  
Author(s):  
A. Pahlavan ◽  
S. Rouhani ◽  
M.V. Takook
Keyword(s):  
De Sitter ◽  
Supersymmetry Algebra

scholarly journals NON-ABELIAN FRACTIONAL SUPERSYMMETRY IN TWO DIMENSIONS

2000 ◽  
Vol 15 (29) ◽  
pp. 1801-1811 ◽  
Author(s):  
HAJI AHMEDOV ◽  
ÖMER F. DAYI
Keyword(s):  
Two Dimensions ◽  
Roots Of Unity ◽  
Matrix Elements ◽  
Supersymmetry Algebra ◽  
Invariant Action ◽  
The Matrix ◽  
Grassmann Variables

Non-Abelian fractional supersymmetry algebra in two dimensions is introduced utilizing Uq(sl(2,ℝ)) at roots of unity. Its representations and the matrix elements are obtained. The dual of it is constructed and the corepresentations are studied. Moreover, a differential realization of the non-Abelian fractional supersymmetry generators is given in the generalized superspace defined by two commuting and two generalized Grassmann variables. An invariant action under the fractional supersymmetry transformations is given.

Quantum corrections to the supersymmetry algebra

1990 ◽  
Vol 68 (12) ◽  
pp. 1377-1381
Author(s):  
D. G. C. McKeon
Keyword(s):  
Gauge Symmetry ◽  
Field Operator ◽  
Quantum Corrections ◽  
Supersymmetry Transformation ◽  
Two Dimensional ◽  
Supersymmetry Algebra ◽  
Equal Time ◽  
Majorana Spinor ◽  
Spinor Current ◽  
Zumino Model

The Bjorken–Johnson–Low technique is used to compute the equal time anticommutator of the spinor currents associated with the supersymmetry of a two-dimensional Wess–Zumino model containing a Majorana spinor, a scalar, and an auxiliary field. Operator regularization is used to compute radiative effects as this does not explicitly break the supersymmetry present in the classical Lagrangian. We find that the spinor current is not conserved, and that the algebra of the generators of the supersymmetry transformation is altered. This is analogous to what has been found in theories with a classical axial gauge symmetry.

Bicovariant differential calculus on the quantum superspace ℝq(1|2)

2016 ◽  
Vol 15 (09) ◽  
pp. 1650172 ◽  
Author(s):  
Salih Celik
Keyword(s):  
Hopf Algebra ◽  
Differential Calculus ◽  
Vector Fields ◽  
Lie Superalgebra ◽  
Function Algebra ◽  
Algebra Structure ◽  
Hopf Algebra Structure ◽  
Bicovariant Differential Calculus ◽  
Quantum Supergroup ◽  
Dual Hopf Algebra

Super-Hopf algebra structure on the function algebra on the extended quantum superspace has been defined. It is given a bicovariant differential calculus on the superspace. The corresponding (quantum) Lie superalgebra of vector fields and its Hopf algebra structure are obtained. The dual Hopf algebra is explicitly constructed. A new quantum supergroup that is the symmetry group of the differential calculus is found.

Non-Linear realization of supersymmetry algebra from supersymmetric constraint

1989 ◽  
Vol 220 (4) ◽  
pp. 569-575 ◽  
Author(s):  
R. Casalbuoni ◽  
S. De Curtis ◽  
D. Dominici ◽  
F. Feruglio ◽  
R. Gatto
Keyword(s):  
Supersymmetry Algebra ◽  
Non Linear

A new non-standard quantum supergroup

1993 ◽  
Vol 26 (23) ◽  
pp. 6973-6979
Author(s):  
A Aghamohammadi
Keyword(s):  
Standard Quantum ◽  
Quantum Supergroup

QUANTUM SUPERGROUPS AND LINK POLYNOMIALS

1993 ◽  
Vol 05 (03) ◽  
pp. 533-549 ◽  
Author(s):  
M. D. GOULD ◽  
I. TSOHANTJIS ◽  
A. J. BRACKEN
Keyword(s):  
Irreducible Representation ◽  
Quantum Groups ◽  
Braid Group ◽  
Usual Sense ◽  
Type I ◽  
Closed Formula ◽  
Matrix Representations ◽  
Quantum Supergroup ◽  
General Method

A general method for constructing invariants for quantum supergroups is applied to obtain a closed formula for link polynomials. For type I quantum supergroups, a realization of the braid group and corresponding link polynomial is determined, for each irreducible representation of the quantum supergroup in a certain class. Although these realizations are not matrix representations in the usual sense, nevertheless link polynomials are defined which are generalizations of those previously obtained from quantum groups. To illustrate the theory, link polynomials corresponding to the defining representations of the quantum supergroups Uq [gl(m|n)], Uq [C (m + 1)] are determined explicitly.

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