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• W3106372332 abstract "In this work we launch a systematic theory of superconformal blocks for four­point functions of arbitrary supermultiplets. Our results apply to a large class of superconformal field theories including 4-dimensional models with any number $$ mathcal{N} $$ of supersymmetries. The central new ingredient is a universal construction of the relevant Casimir differential equations. In order to find these equations, we model superconformal blocks as functions on the supergroup and pick a distinguished set of coordinates. The latter are chosen so that the superconformal Casimir operator can be written as a perturbation of the Casimir operator for spinning bosonic blocks by a fermionic (nilpotent) term. Solu­ tions to the associated eigenvalue problem can be obtained through a quantum mechanical perturbation theory that truncates at some finite order so that all results are exact. We illustrate the general theory at the example of d = 1 dimensional theories with $$ mathcal{N} $$ = 2 supersymmetry for which we recover known superblocks. The paper concludes with an outlook to 4-dimensional blocks with $$ mathcal{N} $$ = 1 supersymmetry." @default.
• W3106372332 created "2020-11-23" @default.
• W3106372332 creator A5002021539 @default.
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• W3106372332 date "2020-01-01" @default.
• W3106372332 modified "2023-09-27" @default.
• W3106372332 title "Superconformal blocks: general theory" @default.
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• W3106372332 doi "https://doi.org/10.1007/jhep01(2020)159" @default.
• W3106372332 hasPublicationYear "2020" @default.
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