Results 1 to 10 of about 18,022 (134)
Toroidal and elliptic quiver BPS algebras and beyond
Journal of High Energy Physics, 2022 The quiver Yangian, an infinite-dimensional algebra introduced recently in [1], is the algebra underlying BPS state counting problems for toric Calabi-Yau three-folds.
Dmitry Galakhov +2 more
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The Representation Theory of Neural Networks
Mathematics, 2021 In this work, we show that neural networks can be represented via the mathematical theory of quiver representations. More specifically, we prove that a neural network is a quiver representation with activation functions, a mathematical object that we ...
Marco Armenta, Pierre-Marc Jodoin
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Shifted quiver Yangians and representations from BPS crystals
Journal of High Energy Physics, 2021 We introduce a class of new algebras, the shifted quiver Yangians, as the BPS algebras for type IIA string theory on general toric Calabi-Yau three-folds.
Dmitry Galakhov +2 more
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Big Finitistic Dimensions for Categories of Quiver Representations [PDF]
Mathematics Interdisciplinary Research, 2021 Assume that A is a Grothendieck category and R is the category of all A-representations of a given quiver Q. If Q is left rooted and A has a projective generator, we prove that the big finitistic flat (resp. projective) dimension FFD(A) (resp. FPD(A)) of
Roghayeh Bagherian, Esmaeil Hosseini
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Quivers and the Euclidean algebra (Extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We show that the category of representations of the Euclidean group $E(2)$ is equivalent to the category of representations of the preprojective algebra of the quiver of type $A_{\infty}$. Furthermore, we consider the moduli space of $E(2)$-modules along
Alistair Savage
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Shifted quiver quantum toroidal algebra and subcrystal representations
Journal of High Energy Physics, 2022 Recently, new classes of infinite-dimensional algebras, quiver Yangian (QY) and shifted QY, were introduced, and they act on BPS states for non-compact toric Calabi-Yau threefolds. In particular, shifted QY acts on general subcrystals of the original BPS
Go Noshita, Akimi Watanabe
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Mathematics, 2023 In this paper, we explore a process called neural teleportation, a mathematical consequence of applying quiver representation theory to neural networks.
Marco Armenta +7 more
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A combinatorial model for exceptional sequences in type A [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Exceptional sequences are certain ordered sequences of quiver representations. We use noncrossing edge-labeled trees in a disk with boundary vertices (expanding on T. Araya’s work) to classify exceptional sequences of representations of $Q$, the linearly
Alexander Garver, Jacob P. Matherne
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Gauge/Bethe correspondence from quiver BPS algebras
Journal of High Energy Physics, 2022 We study the Gauge/Bethe correspondence for two-dimensional N $$ \mathcal{N} $$ = (2, 2) supersymmetric quiver gauge theories associated with toric Calabi-Yau three-folds, whose BPS algebras have recently been identified as the quiver Yangians.
Dmitry Galakhov +2 more
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On quiver W-algebras and defects from gauge origami
Physics Letters B, 2020 In this note, using Nekrasov's gauge origami framework, we study two different versions of the BPS/CFT correspondence – first, the standard AGT duality and, second, the quiver W algebra construction which has been developed recently by Kimura and Pestun.
Peter Koroteev
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