NON-EINSTEINIAN GRAVITY IN d=2: SYMMETRY AND CURRENT ALGEBRA

1994 ◽  
Vol 09 (15) ◽  
pp. 1407-1413 ◽  
Author(s):  
W. KUMMER ◽  
P. WIDERIN
Keyword(s):  
Phase Space ◽  
Current Algebra ◽  
Geometric Theory ◽  
Conserved Quantity ◽  
Global Symmetry ◽  
Field Dependent ◽  
A Current ◽  
Noether Current

For a geometric theory with dynamical torsion an absolutely conserved quantity can be related to a Noether current for a peculiar field dependent off-shell (global) symmetry. Moreover the nonlinear deformed iso(2,1) symmetry in phase space discovered previously, for which that conserved quantity is one element of the center, can be reinterpreted as a current algebra.

scholarly journals Currents, charges and algebras in exceptional generalised geometry

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
David Osten
Keyword(s):  
Current Algebra ◽  
Hamiltonian Formulation ◽  
Building Blocks ◽  
Lie Derivative ◽  
Consistency Check ◽  
World Volume ◽  
Invariant Currents ◽  
Invariant Current ◽  
M Theory ◽  
A Current

Abstract A classical Ed(d)-invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to d ≤ 6. It consists of a Hamiltonian, characterised by a generalised metric, and a current algebra constructed s.t. it reproduces the Ed(d) generalised Lie derivative. Ed(d)-covariance necessitates the introduction of so-called charges, specifying the type of p-brane and the choice of section. For p > 2, currents of p-branes are generically non- geometric due to the imposition of U-duality, e.g. the M5-currents contain coordinates associated to the M2-momentum.A derivation of the Ed(d)-invariant current algebra from a canonical Poisson structure is in general not possible. At most, one can derive a current algebra associated to para-Hermitian exceptional geometry.The membrane in the SL(5)-theory is studied in detail. It is shown that in a generalised frame the current algebra is twisted by the generalised fluxes. As a consistency check, the double dimensional reduction from membranes in M-theory to strings in type IIa string theory is performed. Many features generalise to p-branes in SL(p + 3) generalised geometries that form building blocks for the Ed(d)-invariant currents.

Broken Symmetry Densities within a Current Algebra

1966 ◽  
Vol 147 (4) ◽  
pp. 1141-1144 ◽  
Author(s):  
Richard W. Griffith
Keyword(s):  
Current Algebra ◽  
Broken Symmetry ◽  
A Current

scholarly journals The conserved quantity of Hojman for mechanicalsystems with variable mass in phase space

2004 ◽  
Vol 53 (12) ◽  
pp. 4041
Author(s):  
Fang Jian－Hui ◽  
Zhang Peng－Yu
Keyword(s):  
Phase Space ◽  
Variable Mass ◽  
Conserved Quantity

A current algebra model based on a wave equation

1969 ◽  
Vol 63 (2) ◽  
pp. 598-608
Author(s):  
B. Hamprecht
Keyword(s):  
Wave Equation ◽  
Current Algebra ◽  
Model Based ◽  
A Current ◽  
Algebra Model

A current-algebra calculation of the charged radiative η-decays

1967 ◽  
Vol 50 (4) ◽  
pp. 1006-1009 ◽  
Author(s):  
A. Baracca ◽  
A. Bramón ◽  
A. Tiemblo
Keyword(s):  
Current Algebra ◽  
A Current

The action of Vlasov waves on the velocity distribution in a plasma

1961 ◽  
Vol 10 (3) ◽  
pp. 473-479 ◽  
Author(s):  
J. W. Dungey
Keyword(s):  
Magnetic Field ◽  
Phase Space ◽  
Velocity Distribution ◽  
Thermal Equilibrium ◽  
Limited Range ◽  
Dimensional Model ◽  
One Dimensional ◽  
A Current

A one-dimensional model with no magnetic field is considered. It is supposed that the plasma starts in thermal equilibrium and then a current is forced to grow. Instability leads to the growth of waves, which are shown to stir the distribution in phase space, but only over a limited range of velocity. It is concluded that in order to restore stability the energy in the wave must become comparable to the energy of drift.

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