Vanishing of the restricted deformation of the localU 6×U6 current algebra

1971 ◽  
Vol 2 (4) ◽  
pp. 129-132 ◽  
Author(s):  
L. Gomberoff ◽  
Y. Ne’eman
Keyword(s):  
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.

ηdecay into three pions and the on-mass-shell current algebra

1977 ◽  
Vol 15 (1) ◽  
pp. 121-128 ◽  
Author(s):  
A. A. Golestaneh
Keyword(s):  
Current Algebra ◽  
Mass Shell

scholarly journals Bosonization and current algebra of spinning strings

1996 ◽  
Vol 482 (1-2) ◽  
pp. 305-324 ◽  
Author(s):  
A. Stern
Keyword(s):  
Current Algebra

Current Algebra and Ward Identities: Three- and Four-Point Functions

1968 ◽  
Vol 170 (5) ◽  
pp. 1638-1647 ◽  
Author(s):  
Ira S. Gerstein ◽  
Howard J. Schnitzer
Keyword(s):  
Current Algebra ◽  
Ward Identities

scholarly journals Representation of Local Current Algebra at Infinite Momentum

1966 ◽  
Vol 17 (6) ◽  
pp. 340-343 ◽  
Author(s):  
Roger Dashen ◽  
Murray Gell-Mann
Keyword(s):  
Current Algebra ◽  
Local Current

W-ALGEBRA REALIZATIONS AND W-GRAVITY ANOMALIES

1991 ◽  
Vol 06 (32) ◽  
pp. 2995-3003 ◽  
Author(s):  
C. M. HULL ◽  
L. PALACIOS
Keyword(s):  
Path Integral ◽  
Current Algebra ◽  
Gravity Anomalies ◽  
Normal Ordering ◽  
Path Integral Quantization ◽  
Transformation Rules ◽  
Higher Derivative ◽  
Quantum Current ◽  
Boson Model ◽  
Background Charge

The coupling of scalars fields to chiral W3 gravity is reviewed. In general the quantum current algebra generated by the spin-two and three currents does not close when the "natural" regularization (corresponding to the normal ordering with respect to the modes of ∂ϕi) is used, and the non-closure reflects matter-dependent anomalies in the path integral quantization. We consider the most general modification of the current, involving higher derivative "background charge" terms, and find the conditions for them to form a closed algebra in the "natural" regularization. These conditions can be satisfied only for the two-boson model. In that case, it is possible to cancel all the matter-dependent anomalies by adding finite local counter terms to the action and modifying the transformation rules of the fields.

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