BPS defects in AdS$_{3}$ supergravity

التفاصيل البيبلوغرافية
العنوان: BPS defects in AdS$_{3}$ supergravity
المؤلفون: Giribet, Gaston, Mišković, Olivera, Yazbek, Nahuel, Zanelli, Jorge
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: AdS supergravity admits supersymmetric solutions that describe BPS defects. Here, we investigate such solutions in AdS$_3$ supergravity, which is formulated as a Chern-Simons theory on $\mathrm{OSp}(2|1)\,\times\, \mathrm{OSp}(2|1)$. We compute the Killing spinor equation on the BTZ geometry in different ways, looking for BPS solutions on the entire space of parameters. We focus our attention on defects that represent geometries with integer angular excesses; these correspond to specific negative values of the BTZ mass. We compare our solutions with other results in the literature, finding exact agreement. We argue that, in the semiclassical limit, the BPS defects can be associated to degenerate representations of the Virasoro symmetry at the boundary. The case of non-diagonal representations, describing stationary, non-static defects, is also discussed.
Comment: 26 pages, 1 figure
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.00171
رقم الأكسشن: edsarx.2402.00171
قاعدة البيانات: arXiv