Gravitational Blocks, Spindles and GK Geometry

التفاصيل البيبلوغرافية
العنوان: Gravitational Blocks, Spindles and GK Geometry
المؤلفون: Boido, Andrea, Gauntlett, Jerome P., Martelli, Dario, Sparks, James
سنة النشر: 2022
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: We derive a gravitational block formula for the supersymmetric action for a general class of supersymmetric AdS solutions, described by GK geometry. Extremal points of this action describe supersymmetric AdS$_3$ solutions of type IIB supergravity, sourced by D3-branes, and supersymmetric AdS$_2$ solutions of $D=11$ supergravity, sourced by M2-branes. In both cases, the branes are also wrapped over a two-dimensional orbifold known as a spindle, or a two-sphere. We develop various geometric methods for computing the gravitational block contributions, allowing us to recover previously known results for various explicit supergravity solutions, and to significantly generalize these results to other compactifications. For the AdS$_3$ solutions we give a general proof that our off-shell supersymmetric action agrees with an appropriate off-shell $c$-function in the dual field theory, establishing a very general exact result in holography. For the AdS$_2$ solutions our gravitational block formula allows us to obtain the entropy for supersymmetric, magnetically charged and accelerating black holes in AdS$_4$.
Comment: 107 pages, 2 figures. Minor changes, published version
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2211.02662
رقم الأكسشن: edsarx.2211.02662
قاعدة البيانات: arXiv