Abstract
For supercosets with isometry group of the form hat{mathrm{G}} × hat{mathrm{G}} , the η-deformation can be generalised to a two-parameter integrable deformation with independent q-deformations of the two copies. We study its kappa-symmetry and write down a formula for the Ramond- Ramond fluxes. We then focus on hat{mathrm{G}} = PSU(1, 1|2) and construct two supergravity back- grounds for the two-parameter integrable deformation of the AdS3× S3× T4 superstring, as well as explore their limits. We also construct backgrounds that are solutions of the weaker generalised supergravity equations of motion and compare them to the literature.
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