scholarly journals Cohomology of arbitrary spin currents in AdS3

2000 ◽  
Vol 123 (1) ◽  
pp. 415-435 ◽  
Author(s):  
M. A. Vasiliev ◽  
S. F. Prokushkin
Keyword(s):  
1994 ◽  
Vol 4 (4) ◽  
pp. 493-497 ◽  
Author(s):  
O. Veits ◽  
R. Oppermann ◽  
M. Binderberger ◽  
J. Stein
Keyword(s):  

2013 ◽  
Vol 58 (11) ◽  
pp. 1046-1054 ◽  
Author(s):  
A.G. Nikitin ◽  

Author(s):  
Daniel Canarutto

This monograph addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a not-too-short, integrated approach that exploits standard and non-standard notions in natural geometric language. The role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves. Two-spinors yield a partly original ‘minimal geometric data’ approach to Einstein-Cartan-Maxwell-Dirac fields. The gravitational field is jointly represented by a spinor connection and by a soldering form (a ‘tetrad’) valued in a vector bundle naturally constructed from the assumed 2-spinor bundle. We give a presentation of electroweak theory that dispenses with group-related notions, and we introduce a non-standard, natural extension of it. Also within the 2-spinor approach we present: a non-standard view of gauge freedom; a first-order Lagrangian theory of fields with arbitrary spin; an original treatment of Lie derivatives of spinors and spinor connections. Furthermore we introduce an original formulation of Lagrangian field theories based on covariant differentials, which works in the classical and quantum field theories alike and simplifies calculations. We offer a precise mathematical approach to quantum bundles and quantum fields, including ghosts, BRST symmetry and anti-fields, treating the geometry of quantum bundles and their jet prolongations in terms Frölicher's notion of smoothness. We propose an approach to quantum particle physics based on the notion of detector, and illustrate the basic scattering computations in that context.


2021 ◽  
Vol 4 (1) ◽  
Author(s):  
X. R. Wang

AbstractSpin current is a very important tensor quantity in spintronics. However, the well-known spin-Hall effect (SHE) can only generate a few of its components whose propagating and polarization directions are perpendicular with each other and to an applied charge current. It is highly desirable in applications to generate spin currents whose polarization can be in any possible direction. Here anomalous SHE and inverse spin-Hall effect (ISHE) in magnetic systems are predicted. Spin currents, whose polarisation and propagation are collinear or orthogonal with each other and along or perpendicular to the charge current, can be generated, depending on whether the applied charge current is along or perpendicular to the order parameter. In anomalous ISHEs, charge currents proportional to the order parameter can be along or perpendicular to the propagating or polarization directions of the spin current.


2006 ◽  
Vol 243 (1) ◽  
pp. 193-196
Author(s):  
V. R. Vieira ◽  
V. K. Dugaev ◽  
P. D. Sacramento ◽  
J. Barnaś ◽  
M. A. N. Araújo ◽  
...  

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