Invariant current algebra on the light cone and deep inelastic Lepton-Hadron scattering

1983 ◽  
Vol 56 (1) ◽  
pp. 654-661
Author(s):  
F. A. Lunev
Keyword(s):  
Current Algebra ◽  
Light Cone ◽  
Invariant Current

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.

scholarly journals Light cone current algebra and Regge couplings

1972 ◽  
Vol 42 (2) ◽  
pp. 267-270 ◽  
Author(s):  
M. Testa
Keyword(s):  
Current Algebra ◽  
Light Cone

RENORMALIZATION OF TWO-DIMENSIONAL SUPERGRAVITY IN LIGHT-CONE GAUGE

1990 ◽  
Vol 05 (02) ◽  
pp. 125-131
Author(s):  
ANAIS SMAILAGIC
Keyword(s):  
Wave Function ◽  
Current Algebra ◽  
Light Cone ◽  
Central Charge ◽  
Two Dimensional ◽  
Perturbative Calculation ◽  
Light Cone Gauge ◽  
D Region

Perturbative calculation of two-dimensional (1, 0) supergravity due to gravitation fluctuations is performed. Renormalization of Kac-Moody central charge of SL(2, R) graded current algebra and wave function to one-loop is obtained. The result agrees perfectly with Polyakov’s formula in the large d region.

Implications of the quark-gluon light cone current algebra on neutrino scattering

1972 ◽  
Vol 39 (2) ◽  
pp. 219-222 ◽  
Author(s):  
W.C. Ng ◽  
P. Vinciarelli
Keyword(s):  
Current Algebra ◽  
Light Cone ◽  
Neutrino Scattering

QUANTUM GRAVITY IN TWO DIMENSIONS

1987 ◽  
Vol 02 (11) ◽  
pp. 893-898 ◽  
Author(s):  
A. M. POLYAKOV
Keyword(s):  
Differential Equations ◽  
Quantum Gravity ◽  
Current Algebra ◽  
Correlation Functions ◽  
Light Cone ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Light Cone Gauge

Two dimensional induced quantum gravity is analyzed. By the use of light-cone gauge we derive a gravitational analogue of the Wess-Zumino action and discover its amazing connection with SL (2, ℝ) current algebra. The latter permits us to find differential equations for the correlation functions.

INDUCED TWO-DIMENSIONAL QUANTUM GRAVITY WITH GENERAL ACTION

1991 ◽  
Vol 06 (34) ◽  
pp. 3191-3197 ◽  
Author(s):  
S. D. ODINTSOV
Keyword(s):  
Quantum Gravity ◽  
Current Algebra ◽  
Light Cone ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
General Action ◽  
Non Local

The two-dimensional quantum gravity with general action consisting of local and non-local parts is investigated. It is shown that in the light-cone gauge there exists a symmetry which leads naturally to the SL (2,ℝ) Kac–Moody current algebra. The structure of the renormalization is discussed.

scholarly journals Light Cone Current Algebra

2010 ◽  
pp. 165-198
Author(s):  
HARALD FRITZSCH ◽  
MURRAY GELL-MANN
Keyword(s):  
Current Algebra ◽  
Light Cone
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