| dc.description |
We present a new class of solutions of D = 10, N = 2 chiral supergravity. A non-vanishing background for the field strength G<sub>MNR</sub> of the complex two-form triggers AdS<sub>3</sub> × M<sub>7</sub> compactifications, where M<sub>7</sub> is a 7-dimensional compact manifold. When M<sub>7</sub> is a non-symmetric coset space G/H, we can always find a set of constants G<sub>MNR</sub> covariantly conserved and thus satisfying the field equations. For example the structure constants of G with indices in the G/H directions are a covariantly conserved tensor. In some symmetric G/H, where these structure constants vanish, there may still exist conserved 3-forms, yielding AdS<sub>3</sub> × G/H solutions. The conditions for supersymmetry of the AdS<sub>3</sub> × M<sub>7</sub> compactifications are derived, and tested for the supersymmetric solutions AdS<sub>3</sub> × S<sup>3</sup> × <sup>4</sup> and AdS<sub>3</sub> × S<sup>3</sup> × S<sup>3</sup> × S<sup>1</sup>. Finally, we show that the AdS<sub>3</sub> × S<sup>3</sup> × <sup>4</sup> supersymmetric background can be seen as the σ = 0 limit in a one-parameter class of solutions of the form AdS<sub>3</sub> × S<sup>3</sup> × <sup>2</sup>, the parameter σ being the inverse ``radius" of <sup>2</sup>. For σ≠0 all supersymmetries are broken. |
