Higher-dimensional symmetry of AdS×S correlators
Dec 17, 2021
Citations per year
Abstract: (Springer)
It was recently shown that IIB supergravity on AdS×S enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two complementary approaches to correlators of hypermultiplets in AdS×S. In particular, we show that 4-point correlators of 1/2-BPS operators in the 1d boundary can be computed using 4d conformal symmetry and a 4d effective action in the bulk. The 4d conformal symmetry is realised by acting with Casimirs of SU(1, 1|2), and is generically broken by higher derivative corrections. We point out similar structure underlying α′ corrections to IIB supergravity in AdS×S. In particular, while the α′ corrections can be written in terms of a sixth order Casimir acting on a 10d conformal block, similar structure does not appear in higher-order corrections. We note however that a specific combination of higher derivative corrections can give rise to Witten diagrams with higher dimensional symmetry at the integrand level, with breaking then arising from the measure.Note:
- v2. published in JHEP
- AdS-CFT Correspondence
- Scale and Conformal Symmetries
- symmetry: conformal
- correction: derivative
- derivative: high
- supergravity: Type IIB
- effective action
- n-point function: 4
- operator: BPS
- anomalous dimension
References(51)
Figures(0)
- [1]
- [4]
- [5]
- [6]
- [7]
- [8]
- [10]
- [11]
- [13]
- [14]
- [15]
- [16]
- [18]
- [19]
- [20]
- [22]
- [23]
- [24]
- [25]