Invasion of the giant gravitons from Anti-de Sitter space

By John McGreevy, L. Susskind, N. Toumbas. 2000

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It has been known for some time that the AdS/CFT correspondence predicts a limit on the number of single particle states propagating on the compact spherical component of the AdS × S geometry. The limit is called the stringy exclusion principle. The physical origin of this effect has been obscure but it is usually thought of as a feature of very small distance physics. In this paper we will show that the stringy exclusion principle is due to a surprising large distance phenomenon. The massless single particle states become progressively less and less point-like as their angular momentum increases. In fact they blow up into spherical branes of increasing size. The exclusion principle is simply understood as the condition that the particle should not be bigger than the sphere that contains it.

Subfields: Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/df60135c941cc62c6a4ea29c1b7b0cebe77a3085

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Citations in the corpus

Branes, anti-branes and Brauer algebras in gauge-gravity duality (2007, neutral): “1y.kimura@qmul.ac.uk 2s.ramgoolam@qmul.ac.uk”
Diagonal free field matrix correlators, global symmetries and giant gravitons (2008, background): “Some aspects of this principle find a geometrical expression in the properties of giant gravitons [5, 6].”
Holographic Wilson loops (2006, background): “This brane describes the puffing up of k fundamental strings into a D-brane inside S(5), so in analogy with a similar phenomena for point-like gravitons [20], such a brane can be called a giant Wilson loop.”
On gravitational description of Wilson lines (2006, background): “While all our metrics have AdS5 × S5 asymptotics, they generically have nontrivial topologies, which can be uniquely specified by a set of non–contractible three– and five–spheres.”
Giant gravitons—with strings attached (I) (2007, neutral): “The Dual of Excited Giant Gravitons 5 2.1 Giants 6 2.2 Excited Giants 8 2.3 Open Strings 14 2.4 A First Look at Two Point Functions 15 2.5 Summary of Results 18 2.6 Two Point Function of a Giant with 3 Strings Attached 22”
N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals (2008, background): “One way to see this is from the fact that a maximal giant graviton M5-brane [54] (wrapped on S5 ⊂ S7) has charge J = N ′ = Nk in the covering space.”
An Index for 4 Dimensional Super Conformal Theories (2005, background): “For example, the maximum size giant graviton that wraps an S(3) in S(5) [40] corresponds to the equation z1 = 0.”
All-genus calculation of Wilson loops using D-branes (2005, background): “One inspiration for this is the concept of “giant gravitons,” where fundamental string excitations are replaced by spherical D3-branes wrapping part of the S(5) [4] or part of AdS5 [5, 6].”
Strings in flat space and pp waves from N = 4 Super Yang Mills (2002, result): “This research was supported in part by DOE grant DE-FGO2-91ER40654.”
Towards the F-theorem: $ \mathcal{N} = 2 $ field theories on the three-sphere (2011, background): “In addition to M5-branes wrapping topologically non-trivial cycles that are allowed only in the SU(N)×U(1) gauge theory, on the gravity side one can also consider giant gravitons, which are BPS configurations of M5-branes wrapping topologically trivial five-cycles and rotating within the 7-d space Y”
Giant gravitons from holomorphic surfaces (2000, background): “Suppose that we have an embedding of manifolds i : X ⊂ Y , dimX = k, dimY − dimX = l, l is even, both X and Y have a spin structure.”
Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills (2002, background): “The supergravity computation of the radius, similar to that in [19] gives again (5.”
Wilson Loops of Anti-symmetric Representation and D5-branes (2006, background): “There is also an analogue of the giant graviton wrapped on S3 in the S5 [6] for the Wilson line.”
Diagonal multi-matrix correlators and BPS operators in N=4 SYM (2007, methodology): “The relevant inner products are [3] ⊗ [3] = [3] [2, 1] ⊗ [2, 1] = [3] ⊕ [2, 1] ⊕ [1, 1, 1] [1(3)] ⊗ [1(3)] = [3] (181) So we get N(2, 1) = 3 + 1 = 4 (182) This counts correctly for tr(XXY ), tr(XX) tr(Y ), tr(XY ) tr(X) and tr(X) tr(X) tr(Y ).”
Large N BPS states and emergent quantum gravity (2005, background): “h to expand the supergravity solutions in the LLM 6Eigenvalues (fermions) and holes in the string theory are interpreted as D-branes [21, 9, 13]. In particular, these D-branes are the giant gravitons [30]. There is by now overwhelming evidence for this identiﬁcation [31, 15]. – 21 – coordinate syste”
Baryon Spectra and AdS/CFT Correspondence (2002, background): “It is related to the “giant graviton” effect [18].”
On spherical harmonics for fuzzy spheres in diverse dimensions (2001, methodology): “ space inside the four-sphere. Precisely such a behaviour, where particles behave like two-dimensional extended objects with a two-dimensional transverse space, was found for giant gravitons on S4 in [25]. It would be very interesting to explore possible connections with [25] and the fuzzy four-sphe”