Wilson lines construction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math> toroidal conformal blocks

Belavin, A. A.; Pietro, Oreglia,; Cabezas, J. Ramos

doi:10.1016/j.nuclphysb.2023.116186

Nuclear Physics B

2023

DOI: 10.1016/j.nuclphysb.2023.116186

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Wilson lines construction of sl3 toroidal conformal blocks

A. A. Belavin

Oreglia, Pietro

J. Ramos Cabezas

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2024

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Cited by 3 publications

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Global conformal blocks via shadow formalism

Belavin,

Cabezas

2024

J. High Energ. Phys.

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We study 𝔰𝔩2 and 𝔰𝔩3 global conformal blocks on a sphere and a torus, using the shadow formalism. These blocks arise in the context of Virasoro and 𝒲3 conformal field theories in the large central charge limit. In the 𝔰𝔩2 case, we demonstrate that the shadow formalism yields the known expressions in terms of conformal partial waves. Then, we extend this approach to the 𝔰𝔩3 case and show that it allows to build simple integral representations for 𝔰𝔩3 global blocks. We demonstrate this construction on two examples: the four-point block on the sphere and the one-point torus block.

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Global conformal blocks via shadow formalism

Belavin,

Cabezas

2024

J. High Energ. Phys.

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Wilson networks in AdS and global conformal blocks

Alkalaev,

Kanoda,

Khiteev

2024

Nuclear Physics B

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A note on the large-c conformal block asymptotics and α-heavy operators

Alkalaev,

Litvinov

2024

Nuclear Physics B

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Wilson lines construction of sl3 toroidal conformal blocks

Cited by 3 publications

References 47 publications

Global conformal blocks via shadow formalism

Global conformal blocks via shadow formalism

Wilson networks in AdS and global conformal blocks

A note on the large-c conformal block asymptotics and α-heavy operators

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