Modular Invariance and the Odderon

Details Modular Invariance and the Odderon Modular Invariance and the Odderon

1995-11-29

arxiv.org/abs/hep-th/9511210v2

Phys.Lett. B371 (1996) 293-297

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX, uses amssym.def for \Bbb 'blackboard math' fonts

Scientific paper

10.1016/0370-2693(96)00014-7

We identify a new symmetry for the equations governing odderon amplitudes, corresponding in the Regge limit of QCD to the exchange of 3 reggeized gluons. The symmetry is a modular invariance with respect to the unique normal subgroup of sl(2,Z) {\,} of index 2. This leads to a natural description of the Hamiltonian and conservation-law operators as acting on the moduli space of elliptic curves with a fixed ``sign'': elliptic curves are identified if they can be transformed into each other by an {\em even} number of Dehn twists.

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