Shadow formalism for supersymmetric conformal blocks

Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theories. We demonstrate that shadow formalism yields known expr...

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Bibliographic Details
Published in:arXiv.org 2024-08
Main Authors: Belavin, Vladimir, Juan Ramos Cabezas, Runov, Boris
Format: Article
Language:English
Subjects:
Differential equations
Formalism
Shadows
Toruses
Online Access:Get full text
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Summary:Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theories. We demonstrate that shadow formalism yields known expressions for the large-c limit of the four-point superconformal block on a plane and of the one-point superconformal block on a torus. We also explicitly find the two-point global torus superconformal block in the necklace channel and check it against the Casimir differential equation.
ISSN:2331-8422