Abstract
We discuss the relevance of Eisenstein series for representing certain G()-invariant string theory amplitudes which receive corrections from BPS states only. The Eisenstein series are constructed using G()-invariant mass formulae and are manifestly invariant modular functions on the symmetric space K \\ G() of non-compact type, with K the maximal compact subgroup of G(). In particular, we show how Eisenstein series of the T-duality group SO(d,d,) can be used to represent one- and g-loop amplitudes in compactified string theory. We also obtain their non-perturbative extensions in terms of the Eisenstein series of the U-duality group Ed+1(d+1)().
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
