Poisson-Lie duals of the $\eta$-deformed $\mathrm{AdS}_2 \times \mathrm{S}^2 \times \mathrm{T}^6$ superstring

Understand

We investigate Poisson-Lie duals of the $\eta$-deformed $\mathrm{AdS}_2 \times \mathrm{S}^2 \times \mathrm{T}^6$ superstring.

• The $\eta$-deformed background satisfies a generalisation of the type II supergravity equations.
• We discuss three Poisson-Lie duals, with respect to (i) the full $\mathfrak{psu}(1,1|2)$ superalgebra, (ii) the full bosonic subalgebra and (iii) the Cartan subalgebra, for which the corresponding backgrounds are expected to satisfy the standard type II supergravity equations.
• The metrics and B-fields for the first two cases are the same and given by an analytic continuation of the $\lambda$-deformed model on $\mathrm{AdS}_2 \times \mathrm{S}^2 \times \mathrm{T}^6$ with the torus undeformed.