On a new hyperelliptic formula

✍ Scribed by F. Ferrari

• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 357 KB
• Volume: 24
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00402680

✦ Synopsis

In this Letter, the correlation functions of the free fermions with odd spin structures are derived on a general hyperelliptic curve. In order to express the correlators explicitly in terms of the branch points, we construct the analogous of the Szeg6 kernel for the odd spin structures.

Mathematics Subject Classifications (1991). 14H15, 32G81, 81T40.

* Here there is a httle of ambiguity in the notations. In fact, the coordinate 7 is globally defined on Zg like q and ff and, therefore, urn(7)d7 ~/~ is no longer multivalued with respect to 7. It follows that Um(7) d7 1/= is not defined as in Equation ( 4). ** The homology cycles of an hyperelliptlc curve are given explicitly in [2].