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Vertex operator algebra structure of Virasoro module L(1/2,1/2)

 
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Jan7-09, 04:43 AM   #1
 

Vertex operator algebra structure of Virasoro module L(1/2,1/2)


I would like to understand the vertex operator algebra structure of Virasoro module L(1/2,1/2),
the highest weight module of Vir with central charge 1/2 and highest weight 1/2.

The highest weight vector has weight 1/2
Vaccum vector has weight 0.
But then is it a reducible module of Vir?

Is L(1/2,1/2) a module over the VOA L(1/2,0),
or is it a VOA itself?

Am I missing something?
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cft, lie algebra, vertex algebra, virasoro algebra, voa

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