scholarly journals Symmetry algebras of stringy cosets

2019 ◽  
Vol 2019 (8) ◽  
Author(s):  
Dushyant Kumar ◽  
Menika Sharma
Keyword(s):  
Symmetry Algebras

scholarly journals Non-simply-laced symmetry algebras in F-theory on singular spaces

2018 ◽  
Vol 2018 (9) ◽  
Author(s):  
Antonella Grassi ◽  
James Halverson ◽  
Cody Long ◽  
Julius L. Shaneson ◽  
Jiahua Tian
Keyword(s):  
Singular Spaces ◽  
Symmetry Algebras

Noether symmetries of Bianchi type I spacetimes via Rif tree approach

2021 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
Muhammad Farhan ◽  
Tahir Hussain
Keyword(s):  
Bianchi Type ◽  
Noether Symmetry ◽  
Type I ◽  
Noether Symmetries ◽  
Bianchi Type I ◽  
Tree Approach ◽  
Symmetry Algebras

In this paper, we have studied Noether symmetries of the general Bianchi type I spacetimes. The Lagrangian associated with the most general Bianchi type I metric is used to find the set of Noether symmetry equations. These equations are analyzed using an algorithm, developed in Maple, to get all possible Bianchi type I metrics admitting different Noether symmetries. The set of Noether symmetry equations is then solved for each metric to obtain the Noether symmetry algebras of dimensions 4, 5, 6 and 9.

scholarly journals Classification of Symmetry Lie Algebras of the Canonical Geodesic Equations of Five-Dimensional Solvable Lie Algebras

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1354 ◽  
Author(s):  
Hassan Almusawa ◽  
Ryad Ghanam ◽  
Gerard Thompson
Keyword(s):  
Lie Groups ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Vector Fields ◽  
Solvable Lie Groups ◽  
Related System ◽  
Geodesic Equations ◽  
Solvable Lie Algebras ◽  
Symmetry Algebras

In this investigation, we present symmetry algebras of the canonical geodesic equations of the indecomposable solvable Lie groups of dimension five, confined to algebras A 5 , 7 a b c to A 18 a . For each algebra, the related system of geodesics is provided. Moreover, a basis for the associated Lie algebra of the symmetry vector fields, as well as the corresponding nonzero brackets, are constructed and categorized.

scholarly journals A New Approach to the Study of Noether Invariants and Symmetry Algebras

1992 ◽  
Vol 87 (4) ◽  
pp. 861-870 ◽  
Author(s):  
X.-C. Gao ◽  
J.-B. Xu ◽  
J. Gao
Keyword(s):  
New Approach ◽  
Symmetry Algebras

scholarly journals Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices

2008 ◽  
Vol 49 (2) ◽  
pp. 023510 ◽  
Author(s):  
P. P. Kulish ◽  
N. Manojlovic ◽  
Z. Nagy
Keyword(s):  
Spin Systems ◽  
Quantum Symmetry ◽  
Symmetry Algebras

scholarly journals RESIDUAL SYMMETRIES IN THE PRESENCE OF AN EM BACKGROUND

2003 ◽  
Vol 18 (09) ◽  
pp. 629-641 ◽  
Author(s):  
H. L. CARRION ◽  
M. ROJAS ◽  
F. TOPPAN
Keyword(s):  
Lie Algebra ◽  
Symmetry Algebra ◽  
Algebraic Model ◽  
Two Dimensional ◽  
Square Roots ◽  
Residual Symmetry ◽  
Solvable Lie Algebra ◽  
Poincaré Algebra ◽  
Model Independent ◽  
Symmetry Algebras

The symmetry algebra of a QFT in the presence of an external EM background (named "residual symmetry") is investigated within a Lie-algebraic, model-independent scheme. Some results previously encountered in the literature are extended here. In particular we compute the symmetry algebra for a constant EM background in D = 3 and D = 4 dimensions. In D = 3 dimensions the residual symmetry algebra, for generic values of the constant EM background, is isomorphic to [Formula: see text], with [Formula: see text] the centrally extended two-dimensional Poincaré algebra. In D = 4 dimension the generic residual symmetry algebra is given by a seven-dimensional solvable Lie algebra which is explicitly computed. Residual symmetry algebras are also computed for specific non-constant EM backgrounds and in the supersymmetric case for a constant EM background. The supersymmetry generators are given by the "square roots" of the deformed translations.

Noether symmetries of vacuum classes of pp-waves and the wave equation

2016 ◽  
Vol 13 (09) ◽  
pp. 1650109 ◽  
Author(s):  
Sameerah Jamal ◽  
Ghulam Shabbir
Keyword(s):  
Wave Equation ◽  
Gravitational Waves ◽  
Wave Equations ◽  
Noether Symmetry ◽  
Symmetry Groups ◽  
Noether Symmetries ◽  
Noether’S Theorem ◽  
Metric Functions ◽  
Symmetry Algebras

The Noether symmetry algebras admitted by wave equations on plane-fronted gravitational waves with parallel rays are determined. We apply the classification of different metric functions to determine generators for the wave equation, and also adopt Noether's theorem to derive conserved forms. For the possible cases considered, there exist symmetry groups with dimensions two, three, five, six and eight. These symmetry groups contain the homothetic symmetries of the spacetime.

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