2007

Dying Dyons Don't Count

Cheng, Miranda C. N., Verlinde, Erik

Understand

The dyonic 1/4-BPS states in 4D string theory with N=4 spacetime supersymmetry are counted by a Siegel modular form.

  • The pole structure of the modular form leads to a contour dependence in the counting formula obscuring its duality invariance.
  • We exhibit the relation between this ambiguity and the (dis-)appearance of bound states of 1/2-BPS configurations.
  • Using this insight we propose a precise moduli-dependent contour prescription for the counting formula.

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