Quantum corner symmetry: Representations and gluing
The corner symmetry algebra organizes the physical charges induced by gravity on codimension-2 corners of a manifold. In this letter, we initiate a study of the quantum properties of this group using as a toy model the corner symmetry group of two-dimensional gravity SL(2,R)⋉R2. We first describe th...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-07-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325003053 |
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| author | Luca Ciambelli Jerzy Kowalski-Glikman Ludovic Varrin |
| author_facet | Luca Ciambelli Jerzy Kowalski-Glikman Ludovic Varrin |
| author_sort | Luca Ciambelli |
| collection | DOAJ |
| description | The corner symmetry algebra organizes the physical charges induced by gravity on codimension-2 corners of a manifold. In this letter, we initiate a study of the quantum properties of this group using as a toy model the corner symmetry group of two-dimensional gravity SL(2,R)⋉R2. We first describe the central extensions and how the quantum corner symmetry group arises and give the Casimirs. We then make use of one particular representation to discuss the gluing of corners, achieved by identifying the maximal commuting sub-algebra. This is a concrete implementation of the gravitational constraints at the quantum level. |
| format | Article |
| id | doaj-art-fd885b54e30441b59051dbb7fa3e8443 |
| institution | OA Journals |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-fd885b54e30441b59051dbb7fa3e84432025-08-20T02:31:16ZengElsevierPhysics Letters B0370-26932025-07-0186613954410.1016/j.physletb.2025.139544Quantum corner symmetry: Representations and gluingLuca Ciambelli0Jerzy Kowalski-Glikman1Ludovic Varrin2Perimeter Institute for Theoretical Physics, 31 Caroline St. N., Waterloo ON, N2L 2Y5, Canada; Corresponding author.Faculty of Physics and Astronomy, University of Wroclaw, Pl. Maksa Borna 9, 50-204 Wroclaw, Poland; National Centre for Nuclear Research, Pasteura 7, 02-093 Warsaw, PolandNational Centre for Nuclear Research, Pasteura 7, 02-093 Warsaw, PolandThe corner symmetry algebra organizes the physical charges induced by gravity on codimension-2 corners of a manifold. In this letter, we initiate a study of the quantum properties of this group using as a toy model the corner symmetry group of two-dimensional gravity SL(2,R)⋉R2. We first describe the central extensions and how the quantum corner symmetry group arises and give the Casimirs. We then make use of one particular representation to discuss the gluing of corners, achieved by identifying the maximal commuting sub-algebra. This is a concrete implementation of the gravitational constraints at the quantum level.http://www.sciencedirect.com/science/article/pii/S0370269325003053 |
| spellingShingle | Luca Ciambelli Jerzy Kowalski-Glikman Ludovic Varrin Quantum corner symmetry: Representations and gluing Physics Letters B |
| title | Quantum corner symmetry: Representations and gluing |
| title_full | Quantum corner symmetry: Representations and gluing |
| title_fullStr | Quantum corner symmetry: Representations and gluing |
| title_full_unstemmed | Quantum corner symmetry: Representations and gluing |
| title_short | Quantum corner symmetry: Representations and gluing |
| title_sort | quantum corner symmetry representations and gluing |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325003053 |
| work_keys_str_mv | AT lucaciambelli quantumcornersymmetryrepresentationsandgluing AT jerzykowalskiglikman quantumcornersymmetryrepresentationsandgluing AT ludovicvarrin quantumcornersymmetryrepresentationsandgluing |