Wilson lines construction of osp(1|2) conformal blocks
We study N=1 superconformal theory in the context of AdS/CFT correspondence in the large central charge limit using Chern-Simons formulation of 3d gravity. In this limit conformal dimensions of a subclass of so-called light primary superfields remain finite and are governed by osp(1|2) subalgebra of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322003327 |
| _version_ | 1811300306615533568 |
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| author | Vladimir Belavin J. Ramos Cabezas |
| author_facet | Vladimir Belavin J. Ramos Cabezas |
| author_sort | Vladimir Belavin |
| collection | DOAJ |
| description | We study N=1 superconformal theory in the context of AdS/CFT correspondence in the large central charge limit using Chern-Simons formulation of 3d gravity. In this limit conformal dimensions of a subclass of so-called light primary superfields remain finite and are governed by osp(1|2) subalgebra of N=1 super-Virasoro algebra. We describe the construction of osp(1|2) conformal blocks in terms of Wilson lines of the Chern-Simons 3d gravity. We consider examples of two and three-point blocks on the sphere and one-point torus blocks of light superprimary fields, which belong to finite-dimensional representations of osp(1|2). We study the correlation function for lower and upper components of the primary osp(1|2) doublets and show that the associated conformal blocks are obtained via Wilson line construction in Chern-Simons theory. |
| first_indexed | 2024-04-13T06:49:08Z |
| format | Article |
| id | doaj.art-1d1f69d698a64bd5bd581e45860c5e33 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-13T06:49:08Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-1d1f69d698a64bd5bd581e45860c5e332022-12-22T02:57:28ZengElsevierNuclear Physics B0550-32132022-12-01985115981Wilson lines construction of osp(1|2) conformal blocksVladimir Belavin0J. Ramos Cabezas1Physics Department, Ariel University, Ariel 40700, IsraelPhysics Department, Ariel University, Ariel 40700, IsraelWe study N=1 superconformal theory in the context of AdS/CFT correspondence in the large central charge limit using Chern-Simons formulation of 3d gravity. In this limit conformal dimensions of a subclass of so-called light primary superfields remain finite and are governed by osp(1|2) subalgebra of N=1 super-Virasoro algebra. We describe the construction of osp(1|2) conformal blocks in terms of Wilson lines of the Chern-Simons 3d gravity. We consider examples of two and three-point blocks on the sphere and one-point torus blocks of light superprimary fields, which belong to finite-dimensional representations of osp(1|2). We study the correlation function for lower and upper components of the primary osp(1|2) doublets and show that the associated conformal blocks are obtained via Wilson line construction in Chern-Simons theory.http://www.sciencedirect.com/science/article/pii/S0550321322003327 |
| spellingShingle | Vladimir Belavin J. Ramos Cabezas Wilson lines construction of osp(1|2) conformal blocks Nuclear Physics B |
| title | Wilson lines construction of osp(1|2) conformal blocks |
| title_full | Wilson lines construction of osp(1|2) conformal blocks |
| title_fullStr | Wilson lines construction of osp(1|2) conformal blocks |
| title_full_unstemmed | Wilson lines construction of osp(1|2) conformal blocks |
| title_short | Wilson lines construction of osp(1|2) conformal blocks |
| title_sort | wilson lines construction of osp 1 2 conformal blocks |
| url | http://www.sciencedirect.com/science/article/pii/S0550321322003327 |
| work_keys_str_mv | AT vladimirbelavin wilsonlinesconstructionofosp12conformalblocks AT jramoscabezas wilsonlinesconstructionofosp12conformalblocks |