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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

2 votes
1 answer
219 views

Modular property of affine algebra and conformal vertex algebra

I wonder how modular property naturally arises in conformal theory. Is it obvious from physical viewpoint?
Xuexing Lu's user avatar
6 votes
2 answers
2k views

About state-field correspondence

In the definition of vertex algebra, we call the vertex operator state-field correspondence, does that mean that it is an injective map?? Are there some physical interpretations about state-field cor …
Xuexing Lu's user avatar
0 votes
1 answer
404 views

About vertex algebra, mode expansion

A vertex operator is a linear map associating every state to a operator-valued distributions (quantum field) on a algebra curve, which is also called operator-state correspondence. Chose a local compl …
Xuexing Lu's user avatar