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Counting all dyons in N =4 string theory

Abstract : For dyons in heterotic string theory compactified on a six-torus, with electric charge vector Q and magnetic charge vector P, the positive integer I = g.c.d.(Q \wedge P) is an invariant of the U-duality group. We propose the microscopic theory for computing the spectrum of all dyons for all values of I, generalizing earlier results that exist only for the simplest case of I=1. Our derivation uses a combination of arguments from duality, 4d-5d lift, and a careful analysis of fermionic zero modes. The resulting degeneracy agrees with the black hole degeneracy for large charges and with the degeneracy of field-theory dyons for small charges. It naturally satisfies several physical requirements including integrality and duality invariance. As a byproduct, we also derive the microscopic (0,4) superconformal field theory relevant for computing the spectrum of five-dimensional Strominger-Vafa black holes in ALE backgrounds and count the resulting degeneracies.
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Preprints, Working Papers, ...
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Contributor : Atish Dabholkar Connect in order to contact the contributor
Submitted on : Monday, December 8, 2008 - 12:11:03 PM
Last modification on : Wednesday, December 9, 2020 - 3:45:21 AM

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  • HAL Id : hal-00345080, version 1
  • ARXIV : 0803.2692


Atish Dabholkar, Joao Gomes, Sameer Murthy. Counting all dyons in N =4 string theory. 2008. ⟨hal-00345080⟩



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