Branes, quivers and wave-functions

Kimura, Taro; Panfil, Miłosz; Sugimoto, Yuji; Sułkowski, Piotr

doi:10.21468/scipostphys.10.2.051

Cited by 10 publications

(4 citation statements)

References 25 publications

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“…Refs. [43][44][45][46]. We will be most interested in the 'S-transform' [47,48] which exchanges x = y and y = −x.…”

Section: Brane and Anti-brane Insertionsmentioning

confidence: 99%

Quantum chaos in 2D gravity

Altland¹,

Boris²,

Sonner³

et al. 2022

Preprint

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We present a quantitative and fully non-perturbative description of the ergodic phase of quantum chaos in the setting of two-dimensional gravity. To this end we describe the doubly non-perturbative completion of semiclassical 2D gravity in terms of its associated universe field theory. The guiding principle of our analysis is a flavor-matrix theory (fMT) description of the ergodic phase of holographic gravity, which exhibits U(n|n) causal symmetry breaking and restoration. JT gravity and its 2D-gravity cousins alone do not realize an action principle with causal symmetry, however we demonstrate that their universe field theory, the Kodaira-Spencer (KS) theory of gravity, does. After directly deriving the fMT from brane-antibrane correlators in KS theory, we show that causal symmetry breaking and restoration can be understood geometrically in terms of different (topological) D-brane vacua. We interpret our results in terms of an open-closed string duality between holomorphic Chern-Simons theory and its closed-string equivalent, the KS theory of gravity. Emphasis will be put on relating these geometric principles to the characteristic spectral correlations of the quantum ergodic phase.

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“…Refs. [43][44][45][46]. We will be most interested in the 'S-transform' [47,48] which exchanges x = y and y = −x.…”

Section: Brane and Anti-brane Insertionsmentioning

confidence: 99%

Quantum chaos in 2D gravity

Altland¹,

Boris²,

Sonner³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In Theorem 1.6, the integrality for the local Calabi-Yau 4-folds E Y (D) follows from the identification of the BPS invariants with DT invariants of a symmetric quiver 3 . We construct the symmetric quiver Q(Y (D)) by combining the log-open correspondence given by Theorem 1.5 with a correspondence previously established by Panfil-Sulkowski between toric Calabi-Yau 3-folds with "strip geometries" and symmetric quivers [79,123].…”

Section: Higher Genus Log Invariants and Log-open Correspondencementioning

confidence: 99%

Stable maps to Looijenga pairs

Bousseau,

Brini,

van Garrel

2020

Preprint

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A log Calabi-Yau surface with maximal boundary, or Looijenga pair, is a pair (Y, D) with Y a smooth rational projective complex surface and D = D1 + • • • + D l ∈ | − KY | an anticanonical singular nodal curve. Under some positivity conditions on the pair, we propose a series of correspondences relating five different classes of enumerative invariants attached to (Y, D): (1) the log Gromov-Witten theory of the pair (Y, D), (2) the Gromov-Witten theory of the total space of i OY (−Di), (3) the open Gromov-Witten theory of special Lagrangians in a Calabi-Yau 3-fold determined by (Y, D), (4) the Donaldson-Thomas theory of a symmetric quiver specified by (Y, D), and (5) a class of BPS invariants considered in different contexts by Klemm-Pandharipande, Ionel-Parker, and Labastida-Mariño-Ooguri-Vafa. We furthermore provide a complete closed-form solution to the calculation of all these invariants.

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“…In Theorem 1.6, the integrality for the local Calabi-Yau 4-folds E Y .D/ follows from the identification of the BPS invariants with DT invariants of a symmetric quiver. 7 We construct the symmetric quiver Q.Y .D// by combining the log-open correspondence given by Theorem 1.5 with a correspondence previously established by Panfil and Sułkowski [103] between toric Calabi-Yau 3-folds with "strip geometries" and symmetric quivers; see also Kimura, Panfil, Sugimoto and Sułkowski [67].…”

Section: The All-genus Log-open Correspondencementioning

confidence: 99%

Stable maps to Looijenga pairs

Bousseau,

Brini,

van Garrel

2024

Geom. Topol.

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A log Calabi-Yau surface with maximal boundary, or Looijenga pair, is a pair .Y; D/ with Y a smooth rational projective complex surface and D D D 1 C C D l 2 j K Y j an anticanonical singular nodal curve. Under some natural conditions on the pair, we propose a series of correspondences relating five different classes of enumerative invariants attached to .Y; D/: (1) the log Gromov-Witten theory of the pair .Y; D/, (2) the Gromov-Witten theory of the total space of L i O Y . D i /, (3) the open Gromov-Witten theory of special Lagrangians in a Calabi-Yau 3-fold determined by .Y; D/, (4) the Donaldson-Thomas theory of a symmetric quiver specified by .Y; D/, and (5) a class of BPS invariants considered in different contexts by Klemm and Pandharipande, Ionel and Parker, and Labastida, Mariño, Ooguri and Vafa.We furthermore provide a complete closed-form solution to the calculation of all these invariants.14J33, 14J81, 14N35, 16G20, 53D45 1. Introduction 394 2. Nef Looijenga pairs 410 3. Local Gromov-Witten theory 416 4. Log Gromov-Witten theory 423 5. Log-local correspondence 438 6. Open Gromov-Witten theory 445 7. KP and quiver DT invariants 463 8. Higher-genus BPS invariants 469 9. Orbifolds 474 Appendix A. Proof of Theorem 3.3 476 Appendix B. Infinite scattering 480 Appendix C. Proof of Theorem 5.4 482 Appendix D. Symmetric functions 488 References 491

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Branes, quivers and wave-functions

Cited by 10 publications

References 25 publications

Quantum chaos in 2D gravity

Quantum chaos in 2D gravity

Stable maps to Looijenga pairs

Stable maps to Looijenga pairs

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