Lambda Models From Chern-Simons Theories

Understand

In this paper we refine and extend the results of arXiv:1701.04138, where a connection between the $AdS_{5}\times S^{5}$ superstring lambda model on $S^{1}=\partial D$ and a double Chern-Simons (CS) theory on $D$ based on the Lie superalgebra $\mathfrak{psu}(2,2|4)$ was suggested, after introduction of the spectral parameter $z$.

• The relation between both theories mimics the well-known CS/WZW symplectic reduction equivalence but is non-chiral in nature.
• All the statements are now valid in the strong sense, i.e.
• valid on the whole phase space, making the connection between both theories precise.