مشخصات پژوهش

The author proceed to construct a dual pair for the AdS3 × S3 background by applying non-Abelian T-duality (here as Poisson–Lie [PL] T-duality on a semi-Abelian double). By using a certain parametrization of the 4-dimensional Lie group A2 ⊗ 2A1 and by a suitable choice of spectator-dependent matrices the original 𝝈-model including the AdS3 × S3 metric and a non-trivial B-field are constructed. The dual background constructed by means of the PL T-duality with the spectators is an asymptotically flat one with a potential black hole interpretation supported by a non-trivial H-flux whose metric contains the true singularity with a single horizon. The question of classical integrability of the non-Abelian T-dual 𝝈-models under consideration is addressed, and their corresponding Lax pairs are found, depending on some spectral parameters. Finally, the conformal invariance conditions of the models are checked up to two-loop order, and it has been concluded that the resulting model is indeed a solution of supergravity.