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Giant gravitons, Bogomol’nyi-Prasad-Sommerfield bounds, and noncommutativity
Phys. Rev. D 63, 044001 – Published 3 January, 2001
DOI: https://doi.org/10.1103/PhysRevD.63.044001
Abstract
It has been recently suggested that gravitons moving in spacetimes along the 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 where R is the radius of Restriction of motion to such states lead to a noncommutativity of the coordinates on 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.
References (13)
- J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998); S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998); E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
- J. Maldacena and A. Strominger, J. High Energy Phys. 12, 005 (1998).
- A. Jevicki and S. Ramgoolam, J. High Energy Phys. 04, 032 (1999); P. Ho, S. Ramgoolam, and R. Tatar, Nucl. Phys. B573, 364 (2000); A. Jevicki, M. Mihailescu, and S. Ramgoolam, J. High Energy Phys. 10, 008 (2000).
- J. McGreevy, L. Susskind, and N. Toumbas, J. High Energy Phys. 06, 008 (2000).
- R. Myers, J. High Energy Phys. 12, 022 (1999); D. Kabat and W. Taylor, Adv. Theor. Math. Phys. 2, 181 (1998).
- S. R. Das, S. Trivedi, and S. Vaidya (unpublished).
- P. Ho and M. Li, hep-th/0004072.
- A. Jevicki, talk given at KIAS Summer Workshop on Branes, Seoul, 2000, http://www.kias.re.kr/conf/brane-program.html
- M. Grisaru, R. Myers, and O. Tafjord, J. High Energy Phys. 08, 040 (2000).
- A. Hashimoto, S. Hirano, and N. Itzhaki, J. High Energy Phys. 08, 051 (2000).
- L. Andrianopoli and S. Ferrara, Lett. Math. Phys. 48, 145 (1999); W. Skiba, Phys. Rev. D 60, 105038 (1999); M. Bianchi, S. Kovacs, G. Rossi, and Yassen S. Stanev, J. High Energy Phys. 08, 020 (1999).
- J. de Boer, Nucl. Phys. B548, 139 (1999); J. High Energy Phys. 05, 017 (1999).
- Hong Liu and A. A. Tseytlin, J. High Energy Phys. 10, 003 (1999); E. D ’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, the Yuri Golfand memorial volume, Many Faces of the Superworld, edited by M. Shifman (World Scientific, Singapore, 2000), hep-th/9908160.