تقرير
Quantum Corner Symmetry: Representations and Gluing
العنوان: | Quantum Corner Symmetry: Representations and Gluing |
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المؤلفون: | Ciambelli, Luca, Kowalski-Glikman, Jerzy, Varrin, Ludovic |
سنة النشر: | 2024 |
المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology |
الوصف: | The corner symmetry algebra organises 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. We first describe the central extensions and how the quantum corner symmetry group arises. We then classify the Casimirs and the induced unitary irreducible representation. We finally discuss the gluing of corners, achieved identifying the maximal commuting sub-algebra. This is a concrete implementation of the gravitational constraints at the quantum level, via the entangling product. Comment: v1, 6 pages |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2406.07101 |
رقم الأكسشن: | edsarx.2406.07101 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |