PIRSA:15100029 Scientific Series Quantum Fields and Strings

DOI10.48660/15100029

Series: Quantum Fields and Strings

Sax, O. (2015). Integrability in AdS3/ CFT2 and the Conformal Field Theory of the Higgs branch. Perimeter Institute. https://pirsa.org/15100029

Sax, Olof. Integrability in AdS3/ CFT2 and the Conformal Field Theory of the Higgs branch. Perimeter Institute, Oct. 06, 2015, https://pirsa.org/15100029 

@misc{ pirsa_PIRSA:15100029,
  doi = {10.48660/15100029},
  url = {https://pirsa.org/15100029},
  author = {Sax, Olof},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Integrability in AdS3/ CFT2 and the Conformal Field Theory of the Higgs branch},
  publisher = {Perimeter Institute},
  year = {2015},
  month = {oct},
  note = {PIRSA:15100029 see, \url{https://pirsa.org}}
}

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.

 

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