Free field world-sheet correlators for ${\rm AdS}_3$

التفاصيل البيبلوغرافية
العنوان: Free field world-sheet correlators for ${\rm AdS}_3$
المؤلفون: Dei, Andrea, Gaberdiel, Matthias R., Gopakumar, Rajesh, Knighton, Bob
سنة النشر: 2020
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: We employ the free field realisation of the $\mathfrak{psu}(1,1|2)_1$ world-sheet theory to constrain the correlators of string theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with unit NS-NS flux. In particular, we directly obtain the unusual delta function localisation of these correlators onto branched covers of the boundary ${\rm S}^2$ by the (genus zero) world-sheet -- this is the key property which makes the equivalence to the dual symmetric orbifold manifest. In our approach, this feature follows from a remarkable `incidence relation' obeyed by the correlators, which is reminiscent of a twistorial string description. We also illustrate our results with explicit computations in various special cases.
Comment: 42 pages
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP02(2021)081
URL الوصول: http://arxiv.org/abs/2009.11306
رقم الأكسشن: edsarx.2009.11306
قاعدة البيانات: arXiv