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Pete L. Clark
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What do mathematicians currently do in conformal field theory (or more general field theoytheory)

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Hao
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What do mathematicians currently do in conformal field theory (or more general field theoy)

I am wondering what currently our mathematicians do related to conformal field theory, (I know currently it is a central topic, but I have only a vague idea what mathematicians do in there), or more generally topological field theory, field theory... I am extremely appreicated if there is any survey paper.