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arXiv · hep-th/9511210

Modular Invariance and the Odderon

Romuald Janik
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Abstract

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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Romuald Janik. 1995-11-30. Modular Invariance and the Odderon. https://doi.org/10.1016/0370-2693(96)00014-7

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