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Integrability and the conformal field theory of the Higgs branch

Sax, O. O., Sfondrini, A. and Stefanski, B. (2015). Integrability and the conformal field theory of the Higgs branch. Journal of High Energy Physics, 2015(6), p. 103. doi: 10.1007/JHEP06(2015)103

Abstract

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 Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/12541
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