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A new 5d description of 6d D-type minimal conformal matter
A bstractWe propose a new 5d description of the circle-compactified 6d (DN + 4, DN + 4) minimal conformal matter theory which can be approached by the 6d N=10$$ \mathcal{N}=\left(1,0\right) $$ Sp(N)Expand
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Non-Lagrangian theories from brane junctions
A bstractIn this article we use 5-brane junctions to study the 5D TN SCFTs corresponding to the 5D $ \mathcal{N} $ = 1 uplift of the 4D $ \mathcal{N} $ = 2 strongly coupled gauge theories, which areExpand
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Line operators on S^1xR^3 and quantization of the Hitchin moduli space
We perform an exact localization calculation for the expectation values of Wilson-’t Hooft line operators in N = 2 gauge theories on S1 × R3. The expectation values are naturally expressed in termsExpand
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More on 5d descriptions of 6d SCFTs
A bstractWe propose new five-dimensional gauge theory descriptions of six-dimensional N$$ \mathcal{N} $$ = (1,0) superconformal field theories arising from type IIA brane configurations includ-ing anExpand
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Deep Residual Networks and Weight Initialization
  • Masato Taki
  • Mathematics, Computer Science
  • ArXiv
  • 9 September 2017
Residual Network (ResNet) is the state-of-the-art architecture that realizes successful training of really deep neural network. It is also known that good weight initialization of neural networkExpand
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Refined Topological Vertex and Instanton Counting
It has been proposed recently that topological A-model string amplitudes for toric Calabi-Yau 3-folds in non self-dual graviphoton background can be caluculated by a diagrammatic method that isExpand
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Tao Probing the End of the World
We introduce a new type IIB 5-brane description for the E-string theory which is the world-volume theory on the M5-brane probing the end of the world M9-brane. The E-string in the new realization isExpand
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Fiber-base duality and global symmetry enhancement
A bstractWe show that the 5D Nekrasov partition functions enjoy the enhanced global symmetry of the UV fixed point. The fiber-base duality is responsible for the global symmetry enhancement. ForExpand
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Flop Invariance of Refined Topological Vertex and Link Homologies
It has been proposed recently that the topological A-model string theory on local toric CalabiYau manifolds has a two parameter extension. Amplitudes of the two parameter topological strings can beExpand
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Line operators on $ {S^{{1}}} \times {\mathbb{R}^{{3}}} $ and quantization of the Hitchin moduli space
A bstractWe perform an exact localization calculation for the expectation values of Wilson-’t Hooft line operators in $ \mathcal{N} = 2 $ gauge theories on $ {S^{{1}}} \times {\mathbb{R}^{{3}}} $.Expand
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