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Loops versus Matrices - The nonperturbative aspects of noncritical string

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arxiv hep-th/0405076 v5 pith:L6BXKLW6 submitted 2004-05-10 hep-th

M. Hanada , M. Hayakawa , N. Ishibashi , H. Kawai , T. Kuroki , Y. Matsuo , T. Tada This is my paper · ORCID
classification hep-th
keywords stringaspectsequationsformulationsloopmatrixmodelsnonperturbative
verification ladder T0 review T1 audit T2 compute T3 formal
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The nonperturbative aspects of string theory are explored for non-critical string in two distinct formulations: loop equations and matrix models. The effects corresponding to D-brane in these formulations are especially investigated in detail. It is shown that matrix models can universally yield a definite value of the chemical potential for an instanton while loop equations can not. This implies that string theory may not be nonperturbatively formulated solely in terms of closed strings.

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Cited by 4 Pith papers

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

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    A double-scaling limit of the BMN/plane-wave matrix model is derived analytically and produces an eigenvalue integral for the 1/4-BPS sector of IIA little string theory on R×S⁵.

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  3. Non-perturbative effects in JT gravity from KdV equations

    hep-th 2025-05 conditional novelty 6.0 of 10

    The KdV equation governing 2D topological gravity admits a one-parameter transseries; its leading nonperturbative sector reproduces known JT gravity instanton corrections and extends them to multi-instanton order.

  4. All the D-Branes of Resurgence

    hep-th 2023-01 unverdicted novelty 6.0 of 10

    Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.

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