{"arxiv_id":"hep-th/0003075","incoming":{"papers":194,"sentences":279,"groups":[{"kind":"extends","label":"Builds on it","papers":3,"sentences":4,"quotes":[{"arxiv_id":"0709.2158","title":"Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality","url":"/paper/0709.2158","section":"Proposal for gauge theory duals of brane-anti-brane systems : Outline","sentence":"A simple inspection of the derivation of the giant graviton solutions of [ref] shows that spherical anti-3-branes can provide supersymmetric solutions with opposite angular momentum.","intent_p":0.85,"contests_p":null},{"arxiv_id":"0711.0176","title":"Diagonal multi-matrix correlators and BPS operators in N=4 SYM","url":"/paper/0711.0176","section":"Conclusions and open questions","sentence":"It should also allow a better understanding of the mapping from the geometry of giant graviton moduli spaces to the space of diagonal gauge-invariant eighth-BPS operators at finite $N$, generalising the geometrical explanation [ref] of the stringy exclusion principle [ref] .","intent_p":0.82,"contests_p":null},{"arxiv_id":"2104.13932","title":"A gravity interpretation for the Bethe Ansatz expansion of the $\\mathcal{N}=4$ SYM index","url":"/paper/2104.13932","section":"Introduction and Summary","sentence":"Our analysis in this paper focuses on the Eucllidean path integral, but along the way, we have also found new supersymmetric Lorentzian probe D3-brane configurations in the BPS black hole backgrounds (and complexification thereof), that generalize the giant and dual giant graviton configurations in AdS$_5$ [ref] .","intent_p":0.91,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2502.14249","title":"Giant gravitons in D$p$-brane holography","url":"/paper/2502.14249","section":"Classical analysis","sentence":"Here $ḟ = f̣/τ̣$ is a time derivative with respect to written proper time measured with respect to the fictitious AdS metric, [equation] Now, following [ref] we zoom in on the maximal giant and write [equation] Defining $Π= ṙ$, to quadratic order the $R$-charge is [equation] Note that the Hamiltonian is conjugate to the proper time in AdS; 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