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

Abstract 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 $$ \ma...

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Bibliographic Details
Main Authors: Seungjoo Baek, Dongmin Gang
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2025)027
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Summary:Abstract 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.
ISSN:1029-8479