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Emergent Yang-Mills theory | Robert de Mello Koch
; Jia-Hui Huang
; Minkyoo Kim
; Hendrik J.R. Van Zyl
; | Date: |
6 May 2020 | Abstract: | We study the spectrum of anomalous dimensions of operators dual to giant
graviton branes. The operators considered belong to the su$(2|3)$ sector of
${cal N}=4$ super Yang-Mills theory, have a bare dimension $sim N$ and are a
linear combination of restricted Schur polynomials with $psim O(1)$ long rows
or columns. In the same way that the operator mixing problem in the planar
limit can be mapped to an integrable spin chain, we find that our problem maps
to particles hopping on a lattice. The detailed form of the model is in precise
agreement with the expected world volume dynamics of $p$ giant graviton branes,
which is a U$(p)$ Yang-Mills theory. The lattice model we find has a number of
noteworthy features. It is a lattice model with all-to-all sites interactions
and quenched disorder. | Source: | arXiv, 2005.2731 | Services: | Forum | Review | PDF | Favorites |
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