Attractors with Vanishing Central Charge
| dc.creator | Bellucci, S. | |
| dc.creator | Marrani, A. | |
| dc.creator | Orazi, E. | |
| dc.creator | Shcherbakov, A. | |
| dc.date | 2007-07-18 | |
| dc.date.accessioned | 2026-07-07T10:56:48Z | |
| dc.date.available | 2026-07-07T10:56:48Z | |
| dc.description | We consider the Attractor Equations of particular $\mathcal{N}=2$, d=4 supergravity models whose vector multiplets' scalar manifold is endowed with homogeneous symmetric cubic special Kähler geometry, namely of the so-called $st^{2}$ and $stu$ models. In this framework, we derive explicit expressions for the critical moduli corresponding to non-BPS attractors with vanishing $\mathcal{N}=2$ central charge. Such formulæhold for a generic black hole charge configuration, and they are obtained without formulating any \textit{ad hoc} simplifying assumption. We find that such attractors are related to the 1/2-BPS ones by complex conjugation of some moduli. By uplifting to $\mathcal{N}=8$, d=4 supergravity, we give an interpretation of such a relation as an exchange of two of the four eigenvalues of the $\mathcal{N}=8$ central charge matrix $Z_{AB}$. We also consider non-BPS attractors with non-vanishing $\mathcal{Z}$; for peculiar charge configurations, we derive solutions violating the Ansatz usually formulated in literature. Finally, by group-theoretical considerations we relate Cayley's hyperdeterminant (the invariant of the stu model) to the invariants of the st^{2} and of the so-called t^{3} model. | |
| dc.description | 17 pages, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/0707.2730 | |
| dc.identifier | http://arxiv.org/abs/0707.2730 | |
| dc.identifier | Phys.Lett.B655:185-195,2007 | |
| dc.identifier | doi:10.1016/j.physletb.2007.08.079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186536 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Attractors with Vanishing Central Charge | |
| dc.type | text |