Casimir invariants, characteristic identities, and tensor operators for ‘‘strange’’ superalgebras

1983 ◽  
Vol 24 (7) ◽  
pp. 1705-1710 ◽  
Author(s):  
P. D. Jarvis ◽  
M. K. Murray
Keyword(s):  
Casimir Invariants ◽  
Tensor Operators

scholarly journals An improved holographic nodal line semimetal

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Yan Liu ◽  
Xin-Meng Wu
Keyword(s):  
Mass Term ◽  
Nodal Line ◽  
Duality Relation ◽  
Strongly Coupled ◽  
Nodal Lines ◽  
Form Field ◽  
Improved Model ◽  
Fermionic Spectrum ◽  
Chern Simons ◽  
Tensor Operators

Abstract We study an improved holographic model for the strongly coupled nodal line semimetal which satisfies the duality relation between the rank two tensor operators $$ \overline{\psi}{\gamma}^{\mu v}\psi $$ ψ ¯ γ μv ψ and $$ \overline{\psi}{\gamma}^{\mu v}{\gamma}^5\psi $$ ψ ¯ γ μv γ 5 ψ . We introduce a Chern-Simons term and a mass term in the bulk for a complex two form field which is dual to the above tensor operators and the duality relation is automatically satisfied from holography. We find that there exists a quantum phase transition from a topological nodal line semimetal phase to a trivial phase. In the topological phase, there exist multiple nodal lines in the fermionic spectrum which are topologically nontrivial. The bulk geometries are different from the previous model without the duality constraint, while the resulting properties are qualitatively similar to those in that model. This improved model provides a more natural ground to analyze transports or other properties of strongly coupled nodal line semimetals.

scholarly journals The time-dependent angular analysis of Bd → KSℓℓ, a new benchmark for new physics

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Sébastien Descotes-Genon ◽  
Martín Novoa-Brunet ◽  
K. Keri Vos
Keyword(s):  
Time Evolution ◽  
Form Factors ◽  
New Physics ◽  
Time Dependent ◽  
Angular Analysis ◽  
Time Dependent Analysis ◽  
Tensor Operators

Abstract We consider the time-dependent analysis of Bd→ KSℓℓ taking into account the time-evolution of the Bd meson and its mixing into $$ {\overline{B}}_d $$ B ¯ d . We discuss the angular conventions required to define the angular observables in a transparent way with respect to CP conjugation. The inclusion of time evolution allows us to identify six new observables, out of which three could be accessed from a time-dependent tagged analysis. We also show that these observables could be obtained by time-integrated measurements in a hadronic environment if flavour tagging is available. We provide simple and precise predictions for these observables in the SM and in NP models with real contributions to SM and chirally flipped operators, which are independent of form factors and charm-loop contributions. As such, these observables provide robust and powerful cross-checks of the New Physics scenarios currently favoured by global fits to b → sℓℓ data. In addition, we discuss the sensitivity of these observables with respect to NP scenarios involving scalar and tensor operators, or CP-violating phases. We illustrate how these new observables can provide a benchmark to discriminate among the various NP scenarios in b → sμμ. We discuss the extension of these results for Bs decays into f0, η or η′.

On the denominator function for canonical SU(3) tensor operators

1985 ◽  
Vol 26 (7) ◽  
pp. 1458-1492 ◽  
Author(s):  
L. C. Biedenharn ◽  
M. A. Lohe ◽  
James D. Louck
Keyword(s):  
Tensor Operators

General indices of representations and Casimir invariants

1984 ◽  
Vol 25 (2) ◽  
pp. 219-227 ◽  
Author(s):  
S. Okubo ◽  
J. Patera
Keyword(s):  
Casimir Invariants

Adjustment of vorticity fields with specified values of Casimir invariants as initial condition for simulated annealing of an incompressible, ideal neutral fluid and its MHD in two dimensions

2015 ◽  
Vol 774 ◽  
pp. 443-459 ◽  
Author(s):  
Y. Chikasue ◽  
M. Furukawa
Keyword(s):  
Simulated Annealing ◽  
Finite Number ◽  
Stationary State ◽  
Two Dimensions ◽  
Annealing Process ◽  
Initial Condition ◽  
Vorticity Field ◽  
Casimir Invariants

A method is developed to adjust a vorticity field to satisfy specified values for a finite number of Casimir invariants. The developed method is tested numerically for a neutral fluid in two dimensions. The adjusted vorticity field is adopted as an initial condition for simulated annealing (SA) of an incompressible, ideal neutral fluid and its magnetohydrodynamics (MHD), where SA enables us to obtain a stationary state of the fluid. Since the Casimir invariants are kept unchanged during the annealing process, the obtained stationary state has the required values of the Casimir invariants specified by our method.

Structural properties of the self‐conjugate SU(3) tensor operators

1977 ◽  
Vol 18 (9) ◽  
pp. 1883-1891 ◽  
Author(s):  
M. A. Lohe ◽  
L. C. Biedenharn ◽  
J. D. Louck
Keyword(s):  
Structural Properties ◽  
The Self ◽  
Tensor Operators
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