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<p>We propose bulk 3D <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 rank-0 superconformal field theories, which are related to 2D <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 1 supersymmetric minimal models, <i>SM</i> (2, ·) and <i>SM</i> (3, ·), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence.</p>

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3D bulk field theories for 2D non-unitary \( \mathcal{N} \) = 1 supersymmetric minimal models

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  • 发表日期：

    2025年1月2日

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  • Seungjoo Baek,
  • Dongmin Gang

摘要

We propose bulk 3D N \( \mathcal{N} \) = 4 rank-0 superconformal field theories, which are related to 2D N \( \mathcal{N} \) = 1 supersymmetric minimal models, SM (2, ·) and SM (3, ·), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D N \( \mathcal{N} \) = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence.