Fock representations and BRST cohomology inSL(2) current algebra

1990 ◽  
Vol 127 (1) ◽  
pp. 145-168 ◽  
Author(s):  
D. Bernard ◽  
G. Felder
Keyword(s):  
Current Algebra ◽  
Brst Cohomology ◽  
Fock Representations

scholarly journals sℓ(2)−4 WZW MODEL AS AN (N=4)-SUPERSYMMETRIC BOSONIC STRING WITH c=−2 MATTER

1996 ◽  
Vol 11 (15) ◽  
pp. 2721-2748 ◽  
Author(s):  
A.M. SEMIKHATOV ◽  
I. YU. TIPUNIN
Keyword(s):  
Spectral Sequence ◽  
Current Algebra ◽  
Bosonic String ◽  
Singular Vectors ◽  
Brst Operator ◽  
Irreducible Modules ◽  
Brst Cohomology ◽  
Operator Construction

We consider the sℓ(2) current algebra at level k=−4 when the sℓ(2) BRST operator is nilpotent. We formulate a spectral sequence converging to the cohomology of this BRST operator. At the second term in the spectral sequence, we observe the existence of an N=4 algebra. This algebra is generated in a c=−2 bosonic string whose BRST operator [Formula: see text] represents the next term in the spectral sequence. We realize the cohomology of the irreducible modules as [Formula: see text] primitives of theN=4 singular vectors and relate the latter to the Lian–Zuckerman states of c=−2 matter. The relation between the sℓ(2)−4 WZW model and the c=−2 bosonic string is established both at the level of BRST cohomology and at the level of an explicit operator construction. The relation of the N=4 algebra to the known symmetries of matter+gravity systems is also investigated.

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.

TOPOLOGICAL CONFORMAL ALGEBRA IN POLYAKOV’S LIGHT-CONE GAUGE GRAVITY

1992 ◽  
Vol 07 (35) ◽  
pp. 3291-3302 ◽  
Author(s):  
KIYONORI YAMADA
Keyword(s):  
Light Cone ◽  
Matter Field ◽  
Conformal Algebra ◽  
Two Dimensional ◽  
Topological Algebras ◽  
Light Cone Gauge ◽  
Brst Cohomology ◽  
Dimensional Gravity ◽  
Conformal Gauge ◽  
Gauge Gravity

We show that the two-dimensional gravity coupled to c=−2 matter field in Polyakov’s light-cone gauge has a twisted N=2 superconformal algebra. We also show that the BRST cohomology in the light-cone gauge actually coincides with that in the conformal gauge. Based on this observation the relations between the topological algebras are discussed.

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

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
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