Superstars and giant gravitons

Myers, Robert C.; Tafjord, Øyvind

doi:10.1088/1126-6708/2001/11/009

Cited by 121 publications

(302 citation statements)

References 35 publications

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“…If we take the large N limit and neglect the Chern-Simons part, this equation simplifies to 3.23) which shows that the size of the fuzzy sphere is only dependent upon the energy of the solution. This is what we expect from our knowledge of dielectric branes [8,15] and Giant Gravitons [16,17], which are expanding brane solutions sourced by non-trivial background fields. Even though we are only looking at a relatively simple example, we would expect to find some similarities between these problems.…”

Section: Background Solution and Brane Actionsupporting

confidence: 61%

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Thomas

Ward

2006

J. High Energy Phys.

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We consider the non-Abelian action for the dynamics of NDp ′ -branes in the background of MDp-branes, which parameterises a fuzzy sphere using the SU(2) algebra. We find that the curved background leads to collapsing solutions for the fuzzy sphere except when we have D0 branes in the D6 background, which is a realisation of the gravitational Myers effect. Furthermore we find the equations of motion in the Abelian and non-Abelian theories are identical in the large N limit. By picking a specific ansatz we find that we can incorporate angular momentum into the action, although this imposes restriction upon the dimensionality of the background solutions. We also consider the case of non-Abelian non-BPS branes, and examine the resultant dynamics using world-volume symmetry transformations. We find that the fuzzy sphere always collapses but the solutions are sensitive to the combination of the two conserved charges and we can find expanding solutions with turning points. We go on to consider the coincident NS5-brane background, and again construct the non-Abelian theory for both BPS and non-BPS branes. In the latter case we must use symmetry arguments to find additional conserved charges on the world-volumes to solve the equations of motion. We find that in the Non-BPS case there is a turning solution for specific regions of the tachyon and radion fields. Finally we investigate the more general dynamics of fuzzy S 2k in the Dp-brane background, and find collapsing solutions in all cases.

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Section: Background Solution and Brane Actionsupporting

confidence: 61%

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Thomas

Ward

2006

J. High Energy Phys.

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“…BPS solutions describing probe D3-branes moving on the internal S 5 of AdS 5 × S 5 are known: giant gravitons [47]. Going beyond the probe approximation, one can construct supersymmetric solutions of minimal D = 5 gauged supergravity by considering large numbers of giant gravitons suitably distributed on S 5 [48]. These solutions correspond to static point sources in AdS 5 , and are therefore nakedly singular.…”

Section: Jhep02(2004)006mentioning

confidence: 99%

SupersymmetricAdS₅black holes

Gutowski¹,

Reall²

2004

J. High Energy Phys.

311

704

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The first examples of supersymmetric, asymptotically AdS 5 , black hole solutions are presented. They form a 1-parameter family of solutions of minimal fivedimensional gauged supergravity. Their angular momentum can never vanish. The solutions are obtained by a systematic analysis of supersymmetric solutions with Killing horizons. Other new examples of such solutions are obtained. These include solutions for which the horizon is a homogeneous N il or SL(2, R) manifold.

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“…This proposal immediately tells why ν −1 should be quantized. On the other hand, one can show that the superstar solutions [33], which are 1/2 BPS solutions of IIB supergravity with a naked singularity, are effectively behaving like a quantum Hall system with ν < 1 ( more precisely, ν = 1 1+q where q is an integer related to the R-charge of the solution.) The above proposal then suggests that there should be a relation between the orbifold singularity and the naked singularity of the superstar.…”

Section: Nccs Matrix Model Quantum Hall Physicsmentioning

confidence: 99%

LLL vs. LLM: Half BPS sector of SYM ≡ quantum Hall system

et al. 2005

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In this paper we elaborate on the correspondence between the quantum Hall system with filling factor equal to one and the N = 4 SYM theory in the 1/2 BPS sector, previously mentioned in the [hep-th/0409174, 0409115]. We show the equivalence of the two in various formulations of the quantum Hall physics. We present an extension of the noncommutative Chern-Simons Matrix theory which contains independent degrees of freedom (fields) for particles and quasiholes. The BPS configurations of our model, which is a model with explicit particle-quasihole symmetry, are in one-to-one correspondence with the 1/2 BPS states in the N = 4 SYM. Within our model we shed light on some less clear aspects of the physics of the N = 4 theory in the 1/2 BPS sector, like the giant dual-giant symmetry, stability of the giant gravitons, and stringy exclusion principle and possible implications of the (fractional) quantum Hall effect for the AdS/CFT correspondence.

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Superstars and giant gravitons

Cited by 121 publications

References 35 publications

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

SupersymmetricAdS₅black holes

LLL vs. LLM: Half BPS sector of SYM ≡ quantum Hall system

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Superstars and giant gravitons

Cited by 121 publications

References 35 publications

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

SupersymmetricAdS5black holes

LLL vs. LLM: Half BPS sector of SYM ≡ quantum Hall system

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SupersymmetricAdS₅black holes