Shadow formalism for supersymmetric conformal blocks

A bstract 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.

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Publication Details

Journal
Journal of High Energy Physics
Published
2024-11-07
DOI
https://doi.org/10.1007/jhep11(2024)048
Citations
3
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
1.98
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article

Shadow formalism for supersymmetric conformal blocks

Boris A. Runov, A. A. Belavin, J. Ramos Cabezas
3 citations
Journal of High Energy Physics
Black Holes and Theoretical Physics
1.98
article

Shadow formalism for supersymmetric conformal blocks

Boris A. Runov, A. A. Belavin, J. Ramos Cabezas
article en
3 citations

Abstract

A bstract 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.

Journal of High Energy PhysicsVol. 2024(11)
Ariel University (IL)
Sustainable cities and communities
Openalex Percentile: Top 8%
Black Holes and Theoretical Physics
1.98
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