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Giant Gravitons in Conformal Field Theory
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Giant gravitons in AdS_5 x S^5, 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 AdS_7 x S^4 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.
Forward citations
Cited by 10 Pith papers
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The maximal giant's unstable-saddle thimble contributes exactly the negative terms in the half-BPS partition function, identifying those terms as bulk duals of trace relations.
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CFTs with broken continuous global symmetry on the moduli space require a tower of charged local operators whose scaling dimensions are asymptotically linear in the charge.
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Absorption of closed strings by giant gravitons
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Quantum Gravity Corrections to Giant Graviton Correlators
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The giant graviton expansion in AdS$_5\times$SE$_5$
Giant-graviton fluctuations on AdS5 imes SE5 are governed by a conical Fock-Darwin system whose lowest Landau level yields the protected finite-N index of the dual N=1 SCFT for T1,1.
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Controlled Chaos in 4D SCFTs
Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.
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Higher-Trace Operators and Cut Diagrammatics in the Conformal Block Expansion
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(Un)solvable Matrix Models for BPS Correlators
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On the Universality of Probe Complexity in $\mathcal{N}=4$ SYM
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