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Exact Multi-Matrix Correlators

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arxiv 0801.2061 v4 pith:FYFYR7AT submitted 2008-01-14 hep-th

Rajsekhar Bhattacharyya , Storm Collins , Robert de Mello Koch This is my paper
classification hep-th
keywords functionsmulti-matrixpointpolynomialsrestrictedschurarguecomplete
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We argue that restricted Schur polynomials provide a useful parameterization of the complete set of gauge invariant variables of multi-matrix models. The two point functions of restricted Schur polynomials are evaluated exactly in the free field theory limit. They have diagonal two point functions.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Overcrowding and the Finite-$N$ Hilbert Space

    hep-th 2026-07 accept novelty 7.0 of 10

    For d Hermitian N x N matrices, any all-single-trace choice of primary coordinates must miss a trace direction by degree 2 log_d N + log_d log_d N + O(1), parametrically below the first trace identity.

  2. Critical dimensions and small cycle dominance from all-orders asymptotics of $d$-matrix theory

    hep-th 2026-03 conditional novelty 7.0 of 10

    The weighted partition numbers of d-matrix theory admit an all-orders asymptotic expansion that switches from divergent to convergent at d=13 (bosonic) or 7 (fermionic).

  3. Superconformal Weight Shifting Operators

    hep-th 2025-06 unverdicted novelty 7.0 of 10

    Introduces SU(m,m|2n)-covariant weight-shifting operators in the super-Grassmannian formalism to derive all superconformal blocks from half-BPS ones.

  4. 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.

  5. (Un)solvable Matrix Models for BPS Correlators

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to kno...

  6. String theory mathematics and matrix data analysis

    hep-th 2026-07 unverdicted novelty 2.0 of 10

    A proceedings review of the PIGMM programme; no new mathematical or experimental result is introduced.

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