The Odderon and Invariants of Elliptic Curves

Details The Odderon and Invariants of Elliptic Curves The Odderon and Invariants of Elliptic Curves

1996-04-25

arxiv.org/abs/hep-th/9604162v1

Acta Phys.Polon. B27 (1996) 1275-1286

Physics

High Energy Physics

High Energy Physics - Theory

12 pages,LaTeX 2.09, uses amssym.def and psfig.sty Proceedings of the Cracow Epiphany Conference on Proton Structure, Cracow,

Scientific paper

In this talk we present some links of the theory of the odderon with elliptic curves. These results were obtained in an earlier work \cite{RJ}. The natural degrees of freedom of the odderon turn out to coincide with conformal invariants of elliptic curves with a fixed `sign'. This leads to a formulation of the odderon which is modular invariant with respect to $\Gamma^2$ --- the unique normal subgroup of \slz {\,} of index 2.

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