AdS$_3$ four-point functions from $\frac{1}{8}$-BPS states
| Autor: | Bombini, Alessandro, Galliani, Andrea |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | JHEP 1906 (2019) 044 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP06(2019)044 |
| Popis: | We compute four-point functions in the Heavy-Heavy-Light-Light limit involving all possible $\frac{1}{8}$-BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by using the AdS/CFT dictionary of type IIB supergravity on AdS$_3 \times S^3 \times {\cal M}_4$ that maps supersymmetric heavy operators whose conformal dimension is the order of the central charge to explicit asymptotically AdS supergravity solutions. Using the Ward Identities for the generators of the ${\cal N}=(4,4)$ superconformal $SU(2)$ Kac-Moody algebra, we can relate all of these four-point functions to each other and to other known four-point functions involving $\frac{1}{4}$-BPS heavy states, furnishing non-trivial checks of the computations. Finally, the Ward Identities can be employed to reconstruct the all-light four-point functions, providing the first holographic correlators of single-trace operators computed in AdS$_3$ involving $\frac{1}{8}$-BPS operators. Comment: 38 pages, 3 figures. v2: matches the published version on JHEP; some references added; minor typos corrected |
| Databáze: | arXiv |
| Externí odkaz: |
|