The M5-brane on K3 and del Pezzo's and multi-loop string amplitudes
Abstract
We study the BPS spectrum of Little String Theory for bound states of M5-branes wrapped on six manifold of product topology M4 × Σ2 and the apparence of multi-loop θ-functions in a supersymmetric index calculation. We find a total reconstruction of the g-loop heterotic contribution in the case of a double K3 M-theory compactification. Moreover, we consider total wrapping of M5-branes on del Pezzo surfaces Bk and, by studying the relevant amplitude, we notice the arising of θ-functions relative to BPS strings on Tk-1, i.e. membranes on Tk. This happens because of beautiful relations between four dimensional SYM theories and CFTs in two dimensions and seems to be linked to a duality recently observed by A. Iqbal, A. Neitzke and C. Vafa in [1].
- Publication:
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Journal of High Energy Physics
- Pub Date:
- December 2001
- DOI:
- 10.1088/1126-6708/2001/12/022
- arXiv:
- arXiv:hep-th/0111126
- Bibcode:
- 2001JHEP...12..022B
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 1+14 pages