تقرير
Equivariant volume extremization and holography
| العنوان: | Equivariant volume extremization and holography |
|---|---|
| المؤلفون: | Colombo, Edoardo, Faedo, Federico, Martelli, Dario, Zaffaroni, Alberto |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics, Mathematics - Differential Geometry |
| الوصف: | In a previous paper two of us (D.M. and A.Z.) proposed that a vast class of gravitational extremization problems in holography can be formulated in terms of the equivariant volume of the internal geometry, or of the cone over it. We substantiate this claim by analysing supergravity solutions corresponding to branes partially or totally wrapped on a four-dimensional orbifold, both in M-theory as well as in type II supergravities. We show that our approach recovers the relevant gravitational central charges/free energies of several known supergravity solutions and can be used to compute these also for solutions that are not known explicitly. Moreover, we demonstrate the validity of previously conjectured gravitational block formulas for M5 and D4 branes. In the case of M5 branes we make contact with a recent approach based on localization of equivariant forms, constructed with Killing spinor bilinears. Comment: 62 pages. v2: minor changes, subsection and appendix added, references added. v3: minor changes, published version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.04425 |
| رقم الأكسشن: | edsarx.2309.04425 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |