Anomaly cancelling terms from the elliptic genus

Details Anomaly cancelling terms from the elliptic genus Anomaly cancelling terms from the elliptic genus

Mar 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988nuphb.299...91l&link_type=abstract

Nuclear Physics B, Volume 299, Issue 1, p. 91-116.

Physics

Nuclear Physics

71

Scientific paper

We calculate the heterotic string one-loop diagram in 2n + 2 dimensions with one external Bμν and n external gravitons and/or gauge bosons. The result is a modular integral over the weight zero terms of the character valued partition function (or elliptic genus) of the theory, and can be directly expressed in terms of the factor which multiplies TrF2 - TrR2 in the field theory anomaly. The integrands have a non-trivial dependence on the modular parameter τ, reflecting contributions not only from the physical massless states but also from an infinity of ``unphysical'' modes. Some of them are identical to integrands which have been discussed recently in relation with Atkin-Lehner symmetry and the cosmological constant. As a corollary we find a method to compute these integrals without using Atkin-Lehner transformations.
On leave of absence from: Department of Mathematics, Massachusetts Institute of Technology, Cambridge MA 02139, USA. Work supported in part by National Science Foundation Grant #84-07109.

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