Giant gravitons, Bogomol'nyi-Prasad-Sommerfield bounds, and noncommutativity

Das, Sumit R. ; Jevicki, Antal ; Mathur, Samir D. (2001) Giant gravitons, Bogomol'nyi-Prasad-Sommerfield bounds, and noncommutativity Physical Review D, 63 (4). 044001_1-044001_7. ISSN 0556-2821

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It has been recently suggested that gravitons moving in AdSm×Sn spacetimes along the Sn blow up into spherical (n-2)-branes whose radius increases with increasing angular momentum. This leads to an upper bound on the angular momentum, thus "explaining" the stringy exclusion principle. We show that this bound is present only for states which saturate a BPS-like condition involving the energy E and angular momentum J,E > ~J/R, where R is the radius of Sn. Restriction of motion to such states lead to a noncommutativity of the coordinates on Sn. As an example of motions which do not obey the exclusion principle bound, we show that there are finite action instanton configurations interpolating between two possible BPS states. We suggest that this is consistent with the proposal that there is an effective description in terms of supergravity defined on noncommutative spaces and noncommutativity arises here because of imposing supersymmetry.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:8740
Deposited On:28 Oct 2010 10:56
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