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Matrix Models from Operators and Topological Strings [PDF]
, 2015 We propose a new family of matrix models whose 1/N expansion captures the all-genus topological string on toric Calabi–Yau threefolds. These matrix models are constructed from the trace class operators appearing in the quantization of the corresponding ...
Marcos Mariño, Szabolcs Zakany
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Checks of integrality properties in topological strings [PDF]
Journal of High Energy Physics, 2017 Tests of the integrality properties of a scalar operator in topological strings on a resolved conifold background or orientifold of conifold backgrounds have been performed for arborescent knots and some non-arborescent knots.
A. Mironov +5 more
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Relations between Stokes constants of unrefined and Nekrasov-Shatashvili topological strings [PDF]
Journal of High Energy Physics, 2023 In this paper we demonstrate that the Stokes constants of unrefined free energies and the Stokes constants of Nekrasov-Shatashvili free energies of topological string on a non-compact Calabi-Yau threefold are identical, possibly up to a sign, for any ...
Jie Gu
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Integrality, duality and finiteness in combinatoric topological strings [PDF]
Journal of High Energy Physics, 2021 A remarkable result at the intersection of number theory and group theory states that the order of a finite group G (denoted |G|) is divisible by the dimension dR of any irreducible complex representation of G.
R. de Mello Koch +3 more
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String operators for Cheshire strings in topological phases [PDF]
Physical review B, 2023 Elementary point charge excitations in 3+1D topological phases can condense along a line and form a descendant excitation called the Cheshire string. Unlike the elementary flux loop excitations in the system, Cheshire strings do not have to appear as the
Nathanan Tantivasadakarn, Xie Chen
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Composite topological solitons consisting of domain walls, strings, and monopoles in O(N) models [PDF]
Journal of High Energy Physics, 2023 We study various composites of global solitons consisting of domain walls, strings, and monopoles in linear O(N) models with N = 2 and 3. Spontaneous symmetry breaking (SSB) of the O(N) symmetry down to O(N – 1) results in the vacuum manifold SN−1 ...
M. Eto, Yuta Hamada, M. Nitta
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Spectral theories and topological strings on del Pezzo geometries [PDF]
Journal of High Energy Physics, 2020 Motivated by understanding M2-branes, we propose to reformulate partition functions of M2-branes by quantum curves. Especially, we focus on the backgrounds of del Pezzo geometries, which enjoy Weyl group symmetries of exceptional algebras.
Sanefumi Moriyama
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Flowsheet generation through hierarchical reinforcement learning and graph neural networks
AIChE Journal, Volume 69, Issue 1, January 2023., 2023 Abstract Process synthesis experiences a disruptive transformation accelerated by artificial intelligence. We propose a reinforcement learning algorithm for chemical process design based on a state‐of‐the‐art actor‐critic logic. Our proposed algorithm represents chemical processes as graphs and uses graph convolutional neural networks to learn from ...
Laura Stops +3 more
wiley +1 more source
String Phase in an Artificial Spin Ice
Nature Communications, 2021 Strings of local excitations are interesting features of a strongly correlated topological quantum matter. Here, the authors show that Boltzmann-distributed strings of local excitations also describe the topological physics of the Santa Fe geometry of ...
Xiaoyu Zhang +15 more
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Codimension-2 defects and higher symmetries in (3+1)D topological phases
SciPost Physics, 2023 (3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are special cases.
Maissam Barkeshli, Yu-An Chen, Sheng-Jie Huang, Ryohei Kobayashi, Nathanan Tantivasadakarn, Guanyu Zhu
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