N=4 Topological Amplitudes and String Effective Action
| dc.creator | Antoniadis, I. | |
| dc.creator | Hohenegger, S. | |
| dc.creator | Narain, K. S. | |
| dc.date | 2006-10-24 | |
| dc.date.accessioned | 2026-07-07T11:28:05Z | |
| dc.date.available | 2026-07-07T11:28:05Z | |
| dc.description | Certain scattering amplitudes in the gravitational sector of type II string theory on K3 x T^2 are found to be computed by correlation functions of the N=4 topological string. This analysis extends the already known results for K3 by Berkovits and Vafa, which correspond to six-dimensional terms in the effective action, involving four Riemann tensors and 4g-4 graviphotons, R^4T^{4g-4}, at genus g. We find two additional classes of topological amplitudes that use the full internal SCFT of K3 x T^2. One of these string amplitudes is mapped to a 1-loop contribution in the heterotic theory, and is studied explicitly. It corresponds to the four-dimensional term R^2(ddΦ)^2T^{2g-4}, with Φa Kaluza-Klein graviscalar from T^2. Finally, the generalization of the harmonicity relation for its moduli dependent coupling coefficient is obtained and shown to contain an anomaly, generalizing the holomorphic anomaly of the N=2 topological partition function F_g. | |
| dc.description | 61 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0610258 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0610258 | |
| dc.identifier | Nucl.Phys.B771:40-92,2007 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2007.02.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196332 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | N=4 Topological Amplitudes and String Effective Action | |
| dc.type | text |