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Annulus Amplitudes and ZZ Branes in Minimal String Theory

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arxiv hep-th/0406030 v2 pith:YBPDXCYR submitted 2004-06-03 hep-th

David Kutasov , Kazumi Okuyama , Jongwon Park , Nathan Seiberg , David Shih This is my paper · ORCID
classification hep-th
keywords annulusbranesamplitudestheoryzz-fzztamplitudeminimalstring
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We study the annulus amplitudes of (p,q) minimal string theory. Focusing on the ZZ-FZZT annulus amplitude as a target-space probe of the ZZ brane, we use it to confirm that the ZZ branes are localized in the strong-coupling region. Along the way we learn that the ZZ-FZZT open strings are fermions, even though our theory is bosonic! We also provide a geometrical interpretation of the annulus amplitudes in terms of the Riemann surface M_{p,q} that emerges from the FZZT branes. The ZZ-FZZT annulus amplitude measures the deformation of M_{p,q} due to the presence of background ZZ branes; each kind of ZZ-brane deforms only one A-period of the surface. Finally, we use the annulus amplitudes to argue that the ZZ branes can be regarded as "wrong-branch" tachyons which violate the bound \alpha<Q/2.

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Cited by 2 Pith papers

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  1. 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.

  2. 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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