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Gas of D-Branes and
| Venue: | Hagedorn Density of BPS States, HUTP-95/A042, hep-th/9511088 |
| Citations: | 17 - 1 self |
BibTeX
@INPROCEEDINGS{Vafa_gasof,
author = {Cumrun Vafa},
title = {Gas of D-Branes and},
booktitle = {Hagedorn Density of BPS States, HUTP-95/A042, hep-th/9511088},
year = {}
}
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Abstract
We consider type IIA compactification on K3. We show that the instanton subsectors of the worldvolume of N 4-branes wrapped around K3 lead to a Hagedorn density of BPS states in accord with heterotic-type IIA duality in 6 dimensions. We also find evidence that the correct framework to understand the results of Nakajima on the appearance of affine Kac-Moody algebras on the cohomology of moduli space of instantons on ALE spaces is in the context of heterotic-type IIA string duality. Dec. 1995One of the motivations behind the recent proposals of string dualities has been the appearance of field theory dualities, and in particular the Montonen-Olive duality for N=4 YM theory. The existence of field theory dualities is a necessary condition to any generalization to string theory. There seems to be, however, another indirect, but perhaps deeper connection between the string duality and N = 4 YM duality. In [1] a strong coupling test of Montonen-Olive S-duality was done. In particular SU(2), N = 4 YM on K3 was considered and it was found that the partition function of the theory is modular, in accord with S-duality. However, there was a surprising aspect to this computation: In the course of this computation the oscillator partition function of bosonic string theory
Keyphrases
field theory duality correct framework oscillator partition function string duality partition function necessary condition montonen-olive duality montonen-olive s-duality heterotic-type iia string duality ym duality modulus space ale space surprising aspect k3 lead type iia compactification hagedorn density bosonic string theory recent proposal affine kac-moody algebra heterotic-type iia duality ym theory bps state particular su instanton subsectors
