Spin 2 operators in holographic 4d \( \mathcal{N}=2 \) SCFTs. (English) Zbl 1416.81142
Summary: A broad class of holographic duals for 4d \( \mathcal{N}=2 \) SCFTs is based on the general half-BPS \(\mathrm{AdS}_5\) solutions to M-theory constructed by Lin, Lunin and Maldacena, and their Kaluza-Klein reductions to Type IIA. We derive the equations governing spin 2 fluctuations around these solutions. The resulting partial differential equations admit families of universal solutions which are constructed entirely out of the generic data characterizing the background. This implies the existence of families of spin 2 operators in the dual SCFTs, in short superconformal multiplets which we identify.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 83E05 | Geometrodynamics and the holographic principle |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
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