Daniel GRUNBERG
(Max Planck Institute, Bonn)

Gromow-Witten potentials and automorphic forms

The GW potential is a free energy in string theory; its associated partition function can be written as an infinite product. We present examples of genus 0 potentials where such products have automorphic properties and try to motivate the search for similar properties in the general case.

References:

  1. J.A. Harvey and G. Moore, Algebras, BPS states, and strings Nucl. Phys. B463 (1996) 315-368; arXiv:hep-th/9510182.
  2. R.E. Borcherds, Automorphic Forms on O_{s+2,2}(R) and Infinite Products, Invent. Math. 120 (1995) 161-213
  3. B. Pioline , A. Waldron, Automorphic forms: a physicist's survey, arXiv:hep-th/0312068.
  4. My own work - in progress. or see my phd thesis Thesis.ps
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