Giant gravitons in conformal field theory

By Vijay Balasubramanian, M. Berkooz, A. Naqvi, M. Strassler. 2001

427 citations recorded by the source corpus.

Giant gravitons in AdS5 ? S5, and its orbifolds, have a dual field theory representation as states created by chiral primary operators. We argue that these operators are not single-trace operators in the conformal field theory, but rather are determinants and subdeterminants of scalar fields; the stringy exclusion principle applies to these operators. Evidence for this identification comes from three sources: (a) topological considerations in orbifolds, (b) computation of protected correlators using free field theory and (c) a Matrix model argument. The last argument applies to AdS7 ? S4 and the dual (2,0) theory, where we use algebraic aspects of the fuzzy 4-sphere to compute the expectation value of a giant graviton operator along the Coulomb branch of the theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0947565c5a010f3fa58ec1dcc45ddac8d165d962

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Citations in the corpus

Exact Correlators of Giant Gravitons from dual N=4 SYM (2001, background): “c = (L, ~ 0). These are proportional to the sub-determinants considered in [ 16 ] as duals of”
Giant Gravitons - with Strings Attached (III) (2007, background): “3.1 Dynamical emergence of Chan-Paton factors 14 3.2 Physical basis 16”
Peculiar properties of a charged dilatonic black hole in AdS 5 (2009, background): “The SO(6)R symmetry of N = 4 SYM corresponds to the rotation group in directions transverse to the D3-branes: that is, rotations of the S5 factor in AdS5 × S5.”
Superstars and giant gravitons (2001, neutral): “(29) that µ1 = 1, and r2 L2 = p1 − 2 N p̃1, (32) very similar to the results for a pure AdS5 × S5 background with p̃i = 0, i.e., r2/L2 = p1 in the latter case [10, 11].”
Baryon Spectra and AdS/CFT Correspondence (2002, background): “It was argued in [17] that such Dbranes should become giant gravitons.”
Supersymmetric states of N=4 Yang-Mills from giant gravitons (2006, background): “Half BPS giant gravitons have been studied extensively, see for instance [27, 28, 29, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63].”
On gravitational description of Wilson lines (2006, background): “Such combinations can be classified in terms of representations of permutations group SN [5], in particular the giants correspond to antisymmetric representations and dual giants correspond to symmetric representations of this group [23, 5].”
Branes, anti-branes and Brauer algebras in gauge-gravity duality (2007, neutral): “1y.kimura@qmul.ac.uk 2s.ramgoolam@qmul.ac.uk”
Open Strings from N=4 Super Yang-Mills (2002, background): “However, within any diagram the interactions between the Ys and themselves is dominated by planar sub-diagrams because JY ∼ √ N and because when N is large nonplanarity only becomes important when more that ∼ N fields are involved [13].”
The library of Babel: on the origin of gravitational thermodynamics (2005, background): “(6) It is worth comparing this to the conformal dimensions of various more familiar states in the AdS/CFT correspondence: Supergravity states in AdSd+1 ∆ ≃ d2 + √ d2 4 +M2ℓ2 ≃ O(1).”
A toy model for the AdS/CFT correspondence (2004, background): “The two operators which were conjecture to be dual to these two D-brane configurations are given by two very simple Young tableaux: the one with one column (totally antisymmetric representations of GL(N,C) [29]) or one row (totally symmetric representations of GL(N,C)[24]).”
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].”
Strings in flat space and pp waves from N = 4 Super Yang Mills (2002, background): “If the number of fields is very large it is possible that non-planar contractions dominate over planar ones [20,21] .”
D-branes in Yang-Mills theory and emergent gauge symmetry (2004, neutral): “For 1 ≤ k ≤ J − 1, following the calculations in the appendix of [11] we find 〈OZ,Y,Xk (x)∗OZ,Y,Xk (0)〉one−loop (23) = ∫ d4y〈OZ,Y,Xk (x)∗OZ,Y,Xk (0) = ( −2Ngs π ) C |x|2∆ log(|x|Λ) For k = 0 or k = J only tr(XY YX) or tr(Y XXY ) contribute, so we have one half of the result 〈OZ,Y,X0 (x)∗OZ,Y,X0…”
Meson Spectroscopy in AdS/CFT with Flavour (2003, background): “Of course, the precise gauge theory description of these configurations is more intricate than implied above, involving certain subdeterminant operators [28] that implicitly extend the above through the addition of a combination of multi-trace operators.”