Perturbative tests of non-perturbative counting

Dabholkar, Atish ; Gomes, Joao (2010) Perturbative tests of non-perturbative counting Journal of High Energy Physics, 2010 (3). pp. 1-10. ISSN 1126-6708

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Official URL: http://www.springerlink.com/content/g3k385425ntv72...

Related URL: http://dx.doi.org/10.1007/JHEP03(2010)128

Abstract

We observe that a class of quarter-BPS dyons N = 4 in theories with charge vector (Q, P) and with nontrivial values of the arithmetic duality invariant I := gcd(Q∧P) are nonperturbative in one frame but perturbative in another frame. This observation suggests a test of the recently computed nonperturbative partition functions for dyons with nontrivial values of the arithmetic invariant. For all values of I, we show that the nonperturbative counting yields vanishing indexed degeneracy for this class of states everywhere in the moduli space in precise agreement with the perturbative result.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
Keywords:Black Holes in String Theory; Superstrings and Heterotic Strings; String Duality
ID Code:8171
Deposited On:26 Oct 2010 12:13
Last Modified:16 May 2016 18:14

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