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Integrability and the conformal field theory of the Higgs branch

Sax, O. O., Sfondrini, A. & Stefanski, B. (2015). Integrability and the conformal field theory of the Higgs branch. Journal of High Energy Physics, 2015(6), article number 103. doi: 10.1007/jhep06(2015)103


In the context of the AdS3/CFT2 correspondence, we investigate the Higgs branch CFT2. Witten showed that states localised near the small instanton singularity can be described in terms of vector multiplet variables. This theory has a planar, weak-coupling limit, in which anomalous dimensions of single-trace composite operators can be calculated. At one loop, the calculation reduces to finding the spectrum of a spin-chain with nearest-neighbour interactions. This CFT2 spin-chain matches precisely the one that was previously found as the weak-coupling limit of the integrable system describing the AdS3 side of the duality. We compute the one-loop dilatation operator in a non-trivial compact subsector and show that it corresponds to an integrable spin-chain Hamiltonian. This provides the first direct evidence of integrability on the CFT2 side of the correspondence.

Publication Type: Article
Publisher Keywords: AdS-CFT Correspondence, 1/N Expansion
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
SWORD Depositor:
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