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@ARTICLE{Cagnazzo:191862,
      author       = {Cagnazzo, Alessandra and Schomerus, Volker and Tlapak,
                      Vaclav},
      title        = {{O}n the {S}pectrum of {S}uperspheres},
      reportid     = {PUBDB-2014-04050, DESY-14-151. arXiv:1408.6838},
      year         = {2014},
      abstract     = {Sigma models on coset superspaces, such as odd dimensional
                      superspheres, play an important role in physics and in
                      particular the AdS/CFT correspondence. In this work we apply
                      recent general results on the spectrum of coset space models
                      and on supergroup WZNW models to study the conformal sigma
                      model with target space S$^{3|2}$. We construct its vertex
                      operators and provide explicit formulas for their anomalous
                      dimensions, at least to leading order in the sigma model
                      coupling. The results are used to revisit a non-perturbative
                      duality between the supersphere and the OSP(4|2) Gross-Neveu
                      model that was conjectured by Candu and Saleur. With the
                      help of powerful all-loop results for $
                      \frac{1}{2}\mathrm{B}\mathrm{P}\mathrm{S} $ operators in the
                      Gross-Neveu model we are able to recover the entire zero
                      mode spectrum of the sigma model at a certain finite value
                      of the Gross-Neveu coupling. In addition, we argue that the
                      sigma model constraints and equations of motion are
                      implemented correctly in the dual Gross-Neveu description.
                      On the other hand, high(er) gradient operators of the sigma
                      model are not all accounted for. It is possible that this
                      discrepancy is related to an instability from high gradient
                      operators that has previously been observed in the context
                      of Anderson localization.},
      keywords     = {sigma model: conformal (INSPIRE) / zero mode: spectrum
                      (INSPIRE) / operator: vertex (INSPIRE) / gradient: high
                      (INSPIRE) / operator: BPS (INSPIRE) / field theory:
                      conformal (INSPIRE) / Gross-Neveu model (INSPIRE) / coset
                      space (INSPIRE) / duality (INSPIRE) / Wess-Zumino-Witten
                      model (INSPIRE) / AdS/CFT correspondence (INSPIRE) /
                      anomalous dimension (INSPIRE) / superspace (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {514 - Theoretical Particle Physics (POF2-514) / GATIS -
                      Gauge Theory as an Integrable System (317089)},
      pid          = {G:(DE-HGF)POF2-514 / G:(EU-Grant)317089},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)15},
      eprint       = {1408.6838},
      howpublished = {arXiv:1408.6838},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1408.6838;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/191862},
}