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

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 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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