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• W3102608624 abstract "A bstract Starting from a general $$ mathcal{N}=2 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:math> SCFT, we study the network of $$ mathcal{N}=1 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:math> SCFTs obtained from relevant deformations by nilpotent mass parameters. We also study the case of flipper field deformations where the mass parameters are promoted to a chiral superfield, with nilpotent vev. Nilpotent elements of semi-simple algebras admit a partial ordering connected by a corresponding directed graph. We find strong evidence that the resulting fixed points are connected by a similar network of 4D RG flows. To illustrate these general concepts, we also present a full list of nilpotent deformations in the case of explicit $$ mathcal{N}=2 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:math> SCFTs, including the case of a single D3-brane probing a D - or E -type F-theory 7-brane, and 6D ( G, G ) conformal matter compactified on a T 2 , as described by a single M5-brane probing a D - or E -type singularity. We also observe a number of numerical coincidences of independent interest, including a collection of theories with rational values for their conformal anomalies, as well as a surprisingly nearly constant value for the ratio a IR /c IR for the entire network of flows associated with a given UV $$ mathcal{N}=2 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:math> SCFT. The arXiv submission also includes the full dataset of theories which can be accessed with a companion Mathematica script." @default.
• W3102608624 created "2020-11-23" @default.
• W3102608624 creator A5020982892 @default.
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• W3102608624 creator A5073704967 @default.
• W3102608624 date "2019-05-01" @default.
• W3102608624 modified "2023-09-25" @default.
• W3102608624 title "Nilpotent networks and 4D RG flows" @default.
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• W3102608624 doi "https://doi.org/10.1007/jhep05(2019)074" @default.
• W3102608624 hasPublicationYear "2019" @default.
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