The double-trace spectrum of N=4 SYM at strong coupling
| Autor: | Aprile, F., Drummond, J. M., Heslop, P., Paul, H. |
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| Rok vydání: | 2018 |
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| Zdroj: | Phys. Rev. D 98, 126008 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.98.126008 |
| Popis: | The spectrum of IIB supergravity on AdS${}_5 \times S^5$ contains a number of bound states described by long double-trace multiplets in $\mathcal{N}=4$ super Yang-Mills theory at large 't Hooft coupling. At large $N$ these states are degenerate and to obtain their anomalous dimensions as expansions in $\tfrac{1}{N^2}$ one has to solve a mixing problem. We conjecture a formula for the leading anomalous dimensions of all long double-trace operators which exhibits a large residual degeneracy whose structure we describe. Our formula can be related to conformal Casimir operators which arise in the structure of leading discontinuities of supergravity loop corrections to four-point correlators of half-BPS operators. Comment: 5 pages; References added, formatting improved |
| Databáze: | arXiv |
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