All the D-Branes of Resurgence

Schiappa, Ricardo; Schwick, Maximilian; Tamarin, Noam

doi:10.48550/arxiv.2301.05214

Cited by 5 publications

(4 citation statements)

References 130 publications

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“…The one-loop determinant for ζ ‹ 1 " 1{pζ ‹ 2 q : is associated with the exponential of a cylinder diagram with identical boundary conditions (either real-real or ghost-ghost), while the one-loop determinant for a case with both ζ ‹ 1 ‰ ζ ‹ 2 and ζ ‹ 1 ‰ 1{pζ ‹ 2 q : is associated with the exponential of a cross-cylinder. We will not comment on the more subtle case when ζ ‹ 1 " ζ ‹ 2 which would correspond to a cylinder between a real brane and its ghost partner, but will instead refer the reader to [60] and [90] where such cases were considered in the context of hermitian matrix integrals.…”

Section: B3 the Double-scaling Limitmentioning

confidence: 99%

Normalization of ZZ instanton amplitudes in minimal string theory

Eniceicu

Mahajan

Murdia

et al. 2022

J. High Energ. Phys.

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We use insights from string field theory to analyze and cure the divergences in the cylinder diagram in minimal string theory with both boundaries lying on a ZZ brane. We focus on theories with worldsheet matter consisting of the (2, p) minimal model plus Liouville theory, with total central charge 26, together with the usual bc-ghosts. The string field theory procedure gives a finite, purely imaginary normalization constant for non-perturbative effects in minimal string theory, or doubly non-perturbative effects in JT gravity. We find precise agreement with the prediction from the dual double-scaled one-matrix integral. We also make a few remarks about the extension of this result to the more general (p′, p) minimal string.

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Section: B3 the Double-scaling Limitmentioning

confidence: 99%

Normalization of ZZ instanton amplitudes in minimal string theory

Eniceicu

Mahajan

Murdia

et al. 2022

J. High Energ. Phys.

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“…Resurgence techniques have been already applied to JT gravity: we stress that without the τ -scaling limit the genus expansion is in fact asymptotic and resurgence is an ideal approach to recover its non-perturbative completion. In a beautiful series of papers [25][26][27] the resurgent nature of JT gravity has been carefully studied, starting both from its minimal string embedding and its Weil-Peterson volumes interpretation. As a result instanton-actions and Stokes data for transseries have been computed and tested, while the calculations have been systematized into the framework of a non-perturbative extension of topological recursion relation [28].…”

Section: Summary Of Resultsmentioning

confidence: 99%

The resurgence of the plateau in supersymmetric $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim gravity

Griguolo,

Papalini,

Russo

et al. 2024

J. High Energ. Phys.

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Significant progresses have been made recently in understanding the spectral form factor of Jackiw-Teitelboim gravity, particularly at late times where non-perturbative effects are expected to play a dominant role. By focusing on a peculiar regime of large time and fixed temperature, called τ-scaling limit, it was found that it is possible to analytically investigate the late-time plateau directly through the gravitational genus expansion. We extend this analysis to the supersymmetric $$ \mathcal{N} $$ N = 1 generalization of the bosonic theory, revealing an interesting structure. First, we notice that in the τ-scaling limit the perturbative sum over genera truncates after a single term, which solely accounts for the ramp behaviour. Instead a non-perturbative completion, responsible for the plateau, is encoded into an exact formula coming from the properties of the chiral gaussian ensemble, governing the spectral properties of the supersymmetric theory. We are able to recover the non-perturbative contributions by slightly deforming the genus of the involved surfaces and using resurgence theory. We derive a closed-form analytical expression for the late-time plateau and a trans-series expansion that captures the ramp-plateau transition.

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“…In [30] it was suggested, based on the results of [63], that to go beyond (114) one has to take into account a new type of instanton. This new instanton has found an eigenvalue description very recently [64] in terms of super matrix models (see [65] for its applications), and this makes it possible to provide a rationale for (9) in terms of eigenvalue instantons and "antieigenvalue" instantons [66].…”

Section: Discussionmentioning

confidence: 99%

Large N instantons from topological strings

Mariño,

Miravitllas

2024

SciPost Phys.

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The 1/N1/N expansion of matrix models is asymptotic, and it requires non-perturbative corrections due to large NN instantons. Explicit expressions for large NN instanton amplitudes are known in the case of Hermitian matrix models with one cut, but not in the multi-cut case. We show that the recent exact results on topological string instanton amplitudes provide the non-perturbative contributions of large NN instantons in generic multi-cut, Hermitian matrix models. We present a detailed test in the case of the cubic matrix model by considering the asymptotics of its 1/N1/N expansion, which we obtain at relatively high genus for a generic two-cut background. These results can be extended to certain non-conventional matrix models which admit a topological string theory description. As an application, we determine the large NN instanton corrections for the free energy of ABJM theory on the three-sphere, which correspond to D-brane instanton corrections in superstring theory. We also illustrate the applications of topological string instantons in a more mathematical setting by considering orbifold Gromov-Witten invariants. By focusing on the example of {\mathbb C}^3/{\mathbb Z}_3ℂ3/ℤ3, we show that they grow doubly-factorially with the genus and we obtain and test explicit asymptotic formulae for them.

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All the D-Branes of Resurgence

Cited by 5 publications

References 130 publications

Normalization of ZZ instanton amplitudes in minimal string theory

Normalization of ZZ instanton amplitudes in minimal string theory

The resurgence of the plateau in supersymmetric $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim gravity

Large N instantons from topological strings

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