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Integrability in AdS3/CFT2 and the Conformal Field Theory of the Higgs branch
  OKC/Nordita High-Energy Physics Theory seminar

Monday 28 September 2015
from 13:15 to 14:15
at 122:026
Speaker : Olof Ohlsson Sax (Nordita)
Abstract : I will discuss the Higgs-branch CFT2 dual to string theory on AdS3 x S3 x T4. 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. In particual I will show that the one-loop dilatation operator in a non-trivial compact subsector corresponds to an integrable spin-chain Hamiltonian. This provides the first direct evidence of integrability on the CFT2 side of the correspondence.

AlbaNova  | Last modified 24 September 2015 08:47  |  HELP