The WZNW model on PSU (1,1|2)

By G. Gotz, T. Quella, V. Schomerus. 2006

137 citations recorded by the source corpus.

Abstract. According to the work of Berkovits, Vafa and Witten, the non-linear sigma model on the supergroup PSU(1,1|2) is the essential building block for string theory on AdS3 × S3 × T4. Models associated with a non-vanishing value of the RR flux can be obtained through a psu(1,1|2) invariant marginal deformation of the WZNW model on PSU(1,1|2). We take this as a motivation to present a manifestly psu(1,1|2) covariant construction of the model at the Wess-Zumino point, corresponding to a purely NSNS background 3-form flux. At this point the model possesses an enhanced psu with wide hat(1,1|2) current algebra symmetry whose representation theory, including explicit character formulas, is developed systematically in the first part of the paper. The space of vertex operators and a free fermion representation for their correlation functions is our main subject in the second part. Contrary to a widespread claim, bosonic and fermionic fields are necessarily coupled to each other. The interaction changes the supersymmetry transformations, with drastic consequences for the multiplets of localized normalizable states in the model. It is only this fact which allows us to decompose the full state space into multiplets of the global supersymmetry. We analyze these decompositions systematically as a preparation for a forthcoming study of the RR deformation.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ad9e5d739a40daeb421afcfd6fdcc7d54dc2b035

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Citations in the corpus

Associative-algebraic approach to logarithmic conformal field theories (2007, background): “Box 208120,New Haven,CT 06520-8120 USA b Service de Physique Th eorique,CEA Saclay, G ifSurYvette,91191,France c D epartm entofPhysicsand Astronom y,University ofSouthern California LosAngeles,CA 90089,USA”
Logarithmic conformal field theory: beyond an introduction (2013, result): “rrelation functions and so on as above. This approach has been considered, with varying degrees of detail, for the bulk theories corresponding to the Wess-Zumino-Witten models on SL(2|1)[33], PSL(2|2)[138] and for general type I supergroups in [97]. A different approach determines, and then exploits”
The worldsheet dual of the symmetric product CFT (2018, methodology): “The psu(1, 1|2)k-characters for k ≥ 2 can be found in [27].”