English

The Odderon and Invariants of Elliptic Curves

High Energy Physics - Theory 2007-05-23 v1 High Energy Physics - Phenomenology

Abstract

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 Γ2\Gamma^2 --- the unique normal subgroup of \slz {\,} of index 2.

Keywords

Cite

@article{arxiv.hep-th/9604162,
  title  = {The Odderon and Invariants of Elliptic Curves},
  author = {Romuald A. Janik},
  journal= {arXiv preprint arXiv:hep-th/9604162},
  year   = {2007}
}

Comments

12 pages,LaTeX 2.09, uses amssym.def and psfig.sty Proceedings of the Cracow Epiphany Conference on Proton Structure, Cracow, January 5-6, 1996. To appear in Acta Phys. Pol