Normalization of ZZ instanton amplitudes in minimal string theory

Eniceicu, Dan Stefan; Mahajan, Raghu; Murdia, Chitraang; Sen, Ashoke

doi:10.48550/arxiv.2202.03448

Cited by 3 publications

(14 citation statements)

References 25 publications

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“…Even though both expressions are formal, combining the two leads to an unambiguous result. This approach has been applied to ten-dimensional type IIB string theory [18,19], compactification of type II string theories on Calabi-Yau threefolds [20,21] as well as two-dimensional string theory [22] and minimal string theory [23]. In each case the result agrees with earlier predictions based on symmetries.…”

Section: Jhep07(2022)090 1 Introductionsupporting

confidence: 71%

“…Nevertheless, we show how we can organize the contributions to Z A and Z M , both from the open string channel and from the closed string channel, using character formulas for the representations of the extended N = 2 superconformal algebra that underlies the theory associated with Calabi-Yau compactifications [45][46][47][48]. The relevant formulae can be found in (D. 23), (D.18), (D.28) and (D. 44). This can facilitate computation of Z A and Z M in theories that are obtained from solvable models by small deformations.…”

Section: Jhep07(2022)090mentioning

confidence: 99%

“…Therefore, we cannot compare our results with any known result. Nevertheless, since we follow the same procedure that was used in the analysis of [18][19][20][21][22][23], we expect our analysis to produce the correct result.…”

Section: Jhep07(2022)090 1 Introductionmentioning

confidence: 96%

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D-instanton induced superpotential

Alexandrov

Fırat

Kim

et al. 2022

J. High Energ. Phys.

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We use string field theory to fix the normalization of the D-instanton corrections to the superpotential involving the moduli fields of type II string theory compactified on an orientifold of a Calabi-Yau threefold in the absence of fluxes. We focus on O(1) instantons whose only zero modes are the four bosonic modes associated with translation of the instanton in non-compact directions and a pair of fermionic zero modes associated with the two supercharges broken by the instanton. We work with a generic superconformal field theory and express our answer in terms of the spectrum of open strings on the instanton. We analyse the contribution of multi-instantons of this kind to the superpotential and argue that it vanishes when background fluxes are absent.

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Section: Jhep07(2022)090 1 Introductionsupporting

confidence: 71%

Section: Jhep07(2022)090mentioning

confidence: 99%

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D-instanton induced superpotential

Alexandrov

Fırat

Kim

et al. 2022

J. High Energ. Phys.

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“…In this context it is interesting to ask what is the role of Stokes numbers in the minimal string theory. There is a strong connection between ZZ-brane amplitudes and Stokes numbers that has been thoroughly established in the literature [65,79,98,99]. It seems interesting to explore this connection further.…”

Section: Global Structure Of 2d Quantum Gravitymentioning

confidence: 82%

“…Indeed, in the physics literature the most interesting calculations arise from matrix models and minimal strings. Herein, "canonical" Stokes data has an eigenvalue-tunneling or ZZ-brane [96] one-loop amplitude interpretation [97][98][99] and may be computed directly from the matrix integral, for both P I [77,80,39] and P II [82,40] (see as well [65,81,83,84]). For all multicritical and minimal string theoretic models, these "canonical" Stokes coefficients were recently computed in [95].…”

Section: Introductionmentioning

confidence: 99%

Resurgent Stokes Data for Painleve Equations and Two-Dimensional Quantum (Super) Gravity

Baldino¹,

Schiappa²,

Schwick³

et al. 2022

Preprint

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Resurgent-transseries solutions to Painlevé equations may be recursively constructed out of these nonlinear differential-equations-but require Stokes data to be globally defined over the complex plane. Stokes data explicitly construct connection-formulae which describe the nonlinear Stokes phenomena associated to these solutions, via implementation of Stokes transitions acting on the transseries. Nonlinear resurgent Stokes data lack, however, a first-principle computational approach, hence are hard to determine generically. In the Painlevé I and Painlevé II contexts, nonlinear Stokes data get further hindered as these equations are resonant, with non-trivial consequences for the interconnections between transseries sectors, bridge equations, and associated Stokes coefficients. In parallel to this, the Painlevé I and Painlevé II equations are string-equations for two-dimensional quantum (super) gravity and minimal string theories, where Stokes data have natural ZZ-brane interpretations. This work computes for the first time the complete, analytical, resurgent Stokes data for the first two Painlevé equations, alongside their quantum gravity or minimal string incarnations. The method developed herein, dubbed "closed-form asymptotics", makes sole use of resurgent large-order asymptotics of transseries solutions-alongside a careful analysis of the role resonance plays. Given its generality, it may be applicable to other distinct (nonlinear, resonant) problems. Results for analytical Stokes coefficients have natural structures, which are described, and extensive high-precision numerical tests corroborate all analytical predictions. Connection-formulae are explicitly constructed, with rather simple and compact final results encoding the full Stokes data, and further allowing for exact monodromy checks-hence for an analytical proof of our results.

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All the D-Branes of Resurgence

Schiappa¹,

Schwick²,

Tamarin³

2023

Preprint

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It was recently shown how to account for all instantons of hermitian matrix models via (anti-) eigenvalue-tunneling-including both exponentially-suppressed and exponentiallyenhanced transseries-transmonomials which are predicted by resurgence. Matrix-model eigenvalue-tunneling corresponds to ZZ-branes. The present work shows how matrix-model antieigenvalues correspond to negative-tension ZZ-branes; and how to compute generic nonperturbative sectors-with both ZZ and negative-tension-ZZ branes-in the minimal-string free-energy. Negative-tension D-branes are herein a requirement of resurgence. This results in the construction of minimal-string free-energy transseries and the analytic computation of their resurgent Stokes data. Calculations are presented via Liouville boundary conformal field theory and via (matching) matrix model analysis. Minimal-string results are extended to Jackiw-Teitelboim gravity. Building on the matrix model analysis, one extension towards topological string theory is obtained via the remodeling-conjecture-which allows for addressing one-cut, toric Calabi-Yau geometries. Building on the Liouville theory calculation, one other extension towards critical string theory is obtained via the H + 3 -Liouville correspondence-which allows for addressing negative-tension D-instantons in AdS spacetime. Throughout, checks of the construction and formulae are made in several examples, against both Borel resurgent analysis and string-equation transseries data.

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Normalization of ZZ instanton amplitudes in minimal string theory

Cited by 3 publications

References 25 publications

D-instanton induced superpotential

D-instanton induced superpotential

Resurgent Stokes Data for Painleve Equations and Two-Dimensional Quantum (Super) Gravity

All the D-Branes of Resurgence

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