کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6415848 | 1336150 | 2014 | 39 صفحه PDF | دانلود رایگان |

In this paper we study fields satisfying N-point locality and their properties. We obtain residue formulae for N-point local fields in terms of derivatives of delta functions and Bell polynomials. We introduce the notion of the space of descendants of N-point local fields which includes normal ordered products and coefficients of operator product expansions. We show that examples of N-point local fields include the vertex operators generating the boson-fermion correspondences of types B, C and D-A. We apply the normal ordered products of these vertex operators to the setting of the representation theory of the double-infinite rank Lie algebras bâ, câ, dâ. Finally, we show that the field theory generated by N-point local fields and their descendants has a structure of a twisted vertex algebra.
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 12, December 2014, Pages 2165-2203