scholarly journals A Parafermion Generalization of Poincaré Supersymmetry

1978 ◽  
Vol 31 (6) ◽  
pp. 461 ◽  
Author(s):  
PD Jarvis
Keyword(s):  
Arbitrary Order ◽  
Space Time ◽  
Supersymmetry Algebra ◽  
Commutation Relations ◽  
Poincaré Algebra ◽  
Special Case

The space-time Poincare algebra is extended by introducing a four-spinor generator whose components satisfy certain trilinear parafermi commutation relations. The spin content of the irreducible multiplets is analysed in the massive and massless cases, and weight diagrams constructed, for arbitrary order p of the parastatistics. The supersymmetry algebra of Wess and Zumino, and of Salam and Strathdee, is exhibited as the special case of order p = 1 in this formulation.

scholarly journals Uq(N) GAUGE THEORIES

1994 ◽  
Vol 09 (30) ◽  
pp. 2835-2847 ◽  
Author(s):  
LEONARDO CASTELLANI
Keyword(s):  
Quantum Groups ◽  
Differential Calculus ◽  
Gauge Theories ◽  
Space Time ◽  
Yang Mills ◽  
Commutation Relations ◽  
Transformation Rules ◽  
Field Strengths

Improving on an earlier proposal, we construct the gauge theories of the quantum groups U q(N). We find that these theories are also consistent with an ordinary (commuting) space-time. The bicovariance conditions of the quantum differential calculus are essential in our construction. The gauge potentials and the field strengths are q-commuting "fields," and satisfy q-commutation relations with the gauge parameters. The transformation rules of the potentials generalize the ordinary infinitesimal gauge variations. For particular deformations of U (N) ("minimal deformations"), the algebra of quantum gauge variations is shown to close, provided the gauge parameters satisfy appropriate q-commutations. The q-Lagrangian invariant under the U q(N) variations has the Yang–Mills form [Formula: see text], the "quantum metric" gij being a generalization of the Killing metric.

scholarly journals A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Fatima A. Alawad ◽  
Eltayeb A. Yousif ◽  
Arbab I. Arbab
Keyword(s):  
Laplace Transform ◽  
Exact Solutions ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Space Time ◽  
New Techniques ◽  
Variational Iteration ◽  
Telegraph Equations ◽  
A New Technique ◽  
Special Case

In this paper, the exact solutions of space-time fractional telegraph equations are given in terms of Mittage-Leffler functions via a combination of Laplace transform and variational iteration method. New techniques are used to overcome the difficulties arising in identifying the general Lagrange multiplier. As a special case, the obtained solutions reduce to the solutions of standard telegraph equations of the integer orders.

scholarly journals On Clifford-algebraic dimensional extension and SUSY holography

2015 ◽  
Vol 30 (09) ◽  
pp. 1550042 ◽  
Author(s):  
S. J. Gates ◽  
T. Hübsch ◽  
K. Stiffler
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Lorentz Transformations ◽  
Supersymmetry Algebra ◽  
Higher Dimensional Space Time ◽  
Higher Dimensional ◽  
Dimensional Space Time

We analyze the group of maximal automorphisms of the N-extended worldline supersymmetry algebra, and its action on off-shell supermultiplets. This defines a concept of "holoraumy" that extends the notions of holonomy and curvature in a novel way and provides information about the geometry of the supermultiplet field-space. In turn, the "holoraumy" transformations of 0-brane dimensionally reduced supermultiplets provide information about Lorentz transformations in the higher-dimensional space–time from which the 0-brane supermultiplets are descended. Specifically, Spin(3) generators are encoded within 0-brane "holoraumy" tensors. Worldline supermultiplets are thus able to holographically encrypt information about higher-dimensional space–time geometry.

scholarly journals DUAL KAPPA POINCAŔE ALGEBRA

2010 ◽  
Vol 25 (09) ◽  
pp. 1881-1890 ◽  
Author(s):  
JOSE A. MAGPANTAY
Keyword(s):  
Phase Space ◽  
Space Time ◽  
Lorentz Algebra ◽  
Poincaré Algebra ◽  
New Space ◽  
Heisenberg Double

We show a different modification of Poincaré algebra that also preserves Lorentz algebra. The change begins with how boosts affect space–time in a way similar to how they affect the momenta in kappa Poincaré algebra; hence the term "dual kappa Poincaré algebra." Since by construction the new space–time commutes, it follows that the momenta cocommute. Proposing a space–time coalgebra that is similar to the momentum coproduct in the bicrossproduct basis of kappa Poincaré algebra, we derive the phase space algebra using the Heisenberg double construction. The phase space variables of the dual kappa Poincaré algebra are then related to SR phase space variables. From these relations, we complete the dual kappa Poincaré algebra by deriving the action of rotations and boosts on the momenta.

scholarly journals FIELD THEORETIC REALIZATIONS FOR CUBIC SUPERSYMMETRY

2004 ◽  
Vol 19 (32) ◽  
pp. 5585-5608 ◽  
Author(s):  
N. MOHAMMEDI ◽  
G. MOULTAKA ◽  
M. RAUSCH DE TRAUBENBERG
Keyword(s):  
Gauge Symmetry ◽  
Dimensional Space ◽  
A Priori ◽  
Space Time ◽  
Time Symmetry ◽  
Poincaré Algebra ◽  
Dimensional Space Time

We consider a four-dimensional space–time symmetry which is a nontrivial extension of the Poincaré algebra, different from supersymmetry and not contradicting a priori the well-known no-go theorems. We investigate some field theoretical aspects of this new symmetry and construct invariant actions for noninteracting fermion and noninteracting boson multiplets. In the case of the bosonic multiplet, where two-form fields appear naturally, we find that this symmetry is compatible with a local U(1) gauge symmetry, only when the latter is gauge fixed by a 't Hooft–Feynman term.

scholarly journals REPRESENTATIONS AND BPS STATES OF 10+2 SUPERALGEBRA

1998 ◽  
Vol 13 (26) ◽  
pp. 2147-2152 ◽  
Author(s):  
R. MANVELYAN ◽  
A. MELIKYAN ◽  
R. MKRTCHYAN
Keyword(s):  
Canonical Form ◽  
Central Charge ◽  
Supersymmetry Algebra ◽  
Rank Tensor ◽  
Bps States ◽  
Special Case

The 12-D supersymmetry algebra is considered, and classification of BPS states for some canonical form of second-rank central charge is given. It is shown that possible fractions of survived supersymmetry can be 1/16, 1/8, 3/16, 1/4, 5/16 and 1/2, the values 3/8, 7/16 cannot be achieved in this way. The consideration of a special case of nonzero sixth-rank tensor charge is also included.

EXTENDED POINCARÉ SUPERSYMMETRY

1987 ◽  
Vol 02 (01) ◽  
pp. 273-300 ◽  
Author(s):  
J. STRATHDEE
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Poincaré Algebra ◽  
Dimensional Space Time

Supersymmetric extensions of the Poincaré algebra in D-dimensional space-time are reviewed and a catalogue of their representations is developed. This catalogue includes all supermultiplets whose states carry helicity ≤ 2 in the massless cases and ≤ 1 in the massive cases.

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