Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry

dc.creatorHuang, Wung-Hong
dc.date2006-02-02
dc.date2006-02-22
dc.date.accessioned2026-07-07T10:45:51Z
dc.date.available2026-07-07T10:45:51Z
dc.descriptionThe rotating D3-brane in the $AdS_5 \times S^5$ spacetime could be blowed up to the spherical BPS configuration which has the same energy and quantum number of the point-like graviton and is called as a giant graviton. The configuration is stable only if its angular momentum was less than a critical value of $P_c$. In this paper we investigate the properties of the giant graviton in the electric/magnetic Melvin geometries of deformed $AdS_5 \times S^5$ spacetime which was obtained in our previous paper (hep-th/0512117, Phys. Rev. D73 (2006) 026007). We find that in the magnetic Melvin spacetime the giant graviton has lower energy than the point-like graviton. Also, the critical value of the angular momentum is an increasing function of the magnetic field flux $B$. In particular, it is seen that while increasing the angular momentum the radius of giant graviton is initially an increasing function, then, after it reach its maximum value it becomes a decreasing function of the angular momentum. During these regions the giant graviton is still a stable configuration, contrast to that in the undeformed theory. Finally, beyond the critical value of angular momentum the giant graviton has higher energy than the point-like graviton and it eventually becomes unstable. Our analyses show that the electric Melvin field will always render the giant graviton unstable.
dc.descriptionLatex 12 pages, typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0602019
dc.identifierhttp://arxiv.org/abs/hep-th/0602019
dc.identifierPhys.Lett.B635:141-147,2006
dc.identifierdoi:10.1016/j.physletb.2006.02.041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183042
dc.subjectHigh Energy Physics - Theory
dc.titleElectric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry
dc.typetext

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