Counting Dyons in N = 4 String Theory

نویسندگان

  • Robbert Dijkgraaf
  • Erik Verlinde
  • Herman Verlinde
چکیده

We present a microscopic index formula for the degeneracy of dyons in four-dimensional N = 4 string theory. This counting formula is manifestly symmetric under the duality group, and its asymptotic growth reproduces the macroscopic Bekenstein-Hawking en-tropy. We give a derivation of this result in terms of the type II ve-brane compactiied on K3, by assuming that its uctuations are described by a closed string theory on its world-volume. We nd that the degeneracies are given in terms of the denominator of a generalized super Kac-Moody algebra. We also discuss the correspondence of this result with the counting of D-brane states.

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تاریخ انتشار 1996