Quantum Corner Symmetry: Representations and Gluing

التفاصيل البيبلوغرافية
العنوان: Quantum Corner Symmetry: Representations and Gluing
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