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Calculus of conformal fields on a compact Riemann surface

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 نشر من قبل Nam-Gyu Kang
 تاريخ النشر 2017
  مجال البحث فيزياء
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We present analytical implementation of conformal field theory on a compact Riemann surface. We consider statistical fields constructed from background charge modifications of the Gaussian free field and derive Ward identities which represent the Lie derivative operators in terms of the Virasoro fields and the puncture operators associated with the background charges. As applications, we derive Eguchi-Ooguris version of Wards equations and certain types of BPZ equations on a torus.



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