Chiral $\Lambda$-$\mathfrak{bms}_4$ symmetry of 3d conformal gravity

التفاصيل البيبلوغرافية
العنوان: Chiral $\Lambda$-$\mathfrak{bms}_4$ symmetry of 3d conformal gravity
المؤلفون: Gupta, Nishant, Suryanarayana, Nemani V.
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: We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral $\Lambda$-$\mathfrak{bms}_4$ algebra as their asymptotic symmetry algebra. This algebra is one of the four chiral $\mathcal W$-algebra extensions of $\mathfrak{so}(2,3)$ and is a generalisation of the chiral $\mathfrak{bms}_4$ algebra responsible for soft theorems of graviton MHV amplitudes in ${\mathbb R}^{1,3}$ gravity to the case of non-zero negative cosmological constant. The corresponding charges calculated using the modified covariant phase space formalism are shown to be finite and integrable, and realise this non-linear ${\cal W}$-algebra.
Comment: 22 pages
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2405.20244Test
رقم الانضمام: edsarx.2405.20244
قاعدة البيانات: arXiv