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"Holey Sheets" - Pfaffians and Subdeterminants as D-brane Operators in Large N Gauge Theories

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arxiv hep-th/0211152 v1 pith:DSLEOX3C submitted 2002-11-18 hep-th

Ofer Aharony , Yaron E. Antebi , Micha Berkooz , Ram Fishman This is my paper · ORCID
classification hep-th
keywords operatorstheorycorrespondencegaugelargesidebeenboundaries
verification ladder T0 review T1 audit T2 compute T3 formal
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In the AdS/CFT correspondence, wrapped D3-branes (such as "giant gravitons") on the string theory side of the correspondence have been identified with Pfaffian, determinant and subdeterminant operators on the field theory side. We substantiate this identification by showing that the presence of pairs of such operators in a correlation function of a large N gauge theory naturally leads to a modified 't Hooft expansion including also worldsheets with boundaries. This happens independently of supersymmetry or conformal invariance.

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Cited by 3 Pith papers

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  1. Localization and wall-crossing of giant graviton expansions in AdS$_5$

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    The 1/2-BPS giant graviton expansions for U(N), SO(2k+1), Sp(k), and SO(2k) N=4 SYM are derived from supersymmetric localization of D3-branes in AdS5, with the analytic continuation explained as wall-crossing in a Lan...

  2. Absorption of closed strings by giant gravitons

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    The projector reinterpretation of the Jiang-Komatsu-Vescovi effective theory shows that integrability selection rules hold for maximal and near-maximal giants, but fail for sub-maximal giants and dual giants.

  3. Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    SO(d) and O(d) invariant sectors of d-matrix QM show negative microcanonical heat capacity that becomes positive at k_crit ~ N^2/4, forming a caloric fold similar to AdS black holes.

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