Generalization of boson-fermion equivalence and Fay's addition theorem

✍ Scribed by Hideyuki Kato; Satoru Saito

• Publisher: Springer
• Year: 1989
• Tongue: English
• Weight: 264 KB
• Volume: 18
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00399965

✦ Synopsis

Generalizations of Fay's addition theorem for Abel functions are obtained by using generalized boson-fermion equivalence of off-shell string amplitudes. A simple example of such generalizations is presented explicitly which relates derivatives of a Riemann 0-function to its determinant.

AMS subject classifications (1980). 81XX, 35XX. * The string amplitude defined in the Letter actually corresponds to a holomorphic square root of an amplitude in the toroidally compactified bosonic string theory. Details will be explained elsewhere in a future publication.