ℤ-Graded Trigonometric Lie subalgebras in $$\hat A_\infty ,\hat B_\infty ,\hat C_\infty $$ , and $$\hat D_\infty $$ and their vertex operator representationsand their vertex operator representations

1993 ◽  
Vol 27 (1) ◽  
pp. 10-20 ◽  
Author(s):  
M. I. Golenishcheva-Kutuzova ◽  
D. R. Lebedev
Keyword(s):  
Vertex Operator ◽  
Operator Representations

scholarly journals Bosonization of Bosons in Vertex Operator Representations of Affine Kac-Moody Algebras

1990 ◽  
Vol 84 (2) ◽  
pp. 351-359
Author(s):  
M. Sakamoto
Keyword(s):  
Vertex Operator ◽  
Operator Representations

scholarly journals TKK algebras and vertex operator representations

1999 ◽  
Vol 211 (1) ◽  
pp. 298-342 ◽  
Author(s):  
Shaobin Tan
Keyword(s):  
Vertex Operator ◽  
Operator Representations

Vertex operator representations of the quantum affine algebra U q(B r (1) )

1989 ◽  
Vol 17 (3) ◽  
pp. 239-245 ◽  
Author(s):  
Denis Bernard
Keyword(s):  
Vertex Operator ◽  
Quantum Affine Algebra ◽  
Affine Algebra ◽  
Operator Representations

Vertex operator representations of Kac-Moody algebra

1991 ◽  
Vol 260 (1-2) ◽  
pp. 70-74 ◽  
Author(s):  
M. Sakamoto ◽  
M. Tabuse
Keyword(s):  
Vertex Operator ◽  
Moody Algebra ◽  
Operator Representations

scholarly journals INTERACTIONS OF DISCRETE STATES WITH NONZERO GHOST NUMBER IN c = 1 2D GRAVITY

1992 ◽  
Vol 07 (29) ◽  
pp. 2723-2730 ◽  
Author(s):  
NOBUYOSHI OHTA ◽  
HISAO SUZUKI
Keyword(s):  
Quantum Gravity ◽  
Vertex Operator ◽  
Effective Action ◽  
2D Gravity ◽  
Ghost Number ◽  
Two Dimensional ◽  
Discrete States ◽  
Structure Constants ◽  
Area Preserving ◽  
Operator Representations

We study the interactions of the discrete states with nonzero ghost number in c = 1 two-dimensional (2D) quantum gravity. By using the vertex operator representations, it is shown that their interactions are given by the structure constants of the group of the area preserving diffeomorphism similar to those of vanishing ghost number. The effective action for these states is also worked out. The result suggests that the whole system has a BRST-like symmetry.

scholarly journals New integrable hierarchies from vertex operator representations of polynomial Lie algebras

2006 ◽  
Vol 56 (3) ◽  
pp. 418-449 ◽  
Author(s):  
Paolo Casati ◽  
Giovanni Ortenzi
Keyword(s):  
Lie Algebras ◽  
Vertex Operator ◽  
Integrable Hierarchies ◽  
Operator Representations

scholarly journals Vertex Operator Representations of ÂN Organized by an Affine Space

1993 ◽  
Vol 157 (1) ◽  
pp. 128-160 ◽  
Author(s):  
G. Mason
Keyword(s):  
Vertex Operator ◽  
Affine Space ◽  
Operator Representations

scholarly journals Principal vertex operator representations for toroidal Lie algebras

1998 ◽  
Vol 39 (7) ◽  
pp. 3844-3864 ◽  
Author(s):  
Yuly Billig
Keyword(s):  
Lie Algebras ◽  
Vertex Operator ◽  
Operator Representations

scholarly journals Twisted Γ-Lie algebras and their vertex operator representations

2015 ◽  
Vol 442 ◽  
pp. 202-232
Author(s):  
Fulin Chen ◽  
Shaobin Tan ◽  
Qing Wang
Keyword(s):  
Lie Algebras ◽  
Vertex Operator ◽  
Operator Representations
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