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):  
2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
David Osten

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.


1966 ◽  
Vol 147 (4) ◽  
pp. 1141-1144 ◽  
Author(s):  
Richard W. Griffith

1969 ◽  
Vol 63 (2) ◽  
pp. 598-608
Author(s):  
B. Hamprecht

1971 ◽  
Vol 29 (2) ◽  
pp. 405-412 ◽  
Author(s):  
G.M. Radutsky ◽  
A.N. Tabachenco

2006 ◽  
Vol 21 (04) ◽  
pp. 950-953
Author(s):  
Bing An Li

A current algebra based effective chiral theory of pseudoscalar, vector, axial-vector mesons is reviewed. A new mechanism generating the masses and guage fixing terms of gauge boson is revealed from this effective theory. A EW theory without Higgs is proposed. The masses and gauge fixing terms of W and Z are dynamically generated. Three heavy scalar fields are dynamically generated too. They are ghosts.


1968 ◽  
Vol 172 (5) ◽  
pp. 1761-1763 ◽  
Author(s):  
Antonio Pagnamenta ◽  
B. Renner

1967 ◽  
Vol 1 (4) ◽  
pp. 196-198
Author(s):  
N. Angelescu ◽  
E. Rǎdescu

2015 ◽  
Vol 151 (7) ◽  
pp. 1265-1287 ◽  
Author(s):  
Vyjayanthi Chari ◽  
Bogdan Ion

In Bennett et al. [BGG reciprocity for current algebras, Adv. Math. 231 (2012), 276–305] it was conjectured that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the current algebra associated to a simple Lie algebra. We associate a current algebra to any indecomposable affine Lie algebra and show that, in this generality, the BGG reciprocity is true for the corresponding category of representations.


Sign in / Sign up

Export Citation Format

Share Document