Supersymmetric backgrounds from λ-deformations

Abstract

We provide the first supersymmetric embedding of an integrable λ-deformation to type-II supergravity. Specifically, that of the near horizon of the NS1-NS5 brane intersection, geometrically corresponding to AdS3 × S3 × T4. We show that the deformed background preserves 1/4 of the maximal supersymmetry. In the Penrose limit we show that it preserves no-more than one half of the maximal supersymmetry.

Supersymmetric solutions of type-II supergravity from λ-deformations and zoom-in limits

“…Therefore, in order to define the NATD limit, one has to consider an expansion around a complex value of the SL(2, R) group parameters. As it has been observed in [15], this results in a background with real RR fluxes. However, this is not the only consistent option one has as λ approaches the identity.…”

“…This shift must be accompanied by an appropriate rescaling of the RR four-form in order to guarantee that the type-IIA equations of motion are still satisfied. Taking L 0 = L 1 = 1 in (4.3), it becomes evident that the plane-wave solution is T-dual to the one found in section 3.2 of [15].…”

“…A λ-deformed AdS 3 × S 3 × T 4 type-IIB solution that preserves 8 supercharges was constructed recently in [15]. Here we derive its type-IIA cousin by applying the limit (B.7) in the supergravity background of the previous section.…”

“…Nevertheless, in the case of SL(2, R) × SU(2), the outcome was a solution of the type-IIB* supergravity [14], and as such, it is of no interest for our considerations. 1 This problem for the embedding of the SL(2, R) × SU(2) λ-model has been successfully addressed recently in [15] by an analytic continuation of the SL(2, R) parameters. As a result, the first 1/4 supersymmetric type-II solution from a λ-deformed model has been found.…”

“…In the present work, we construct the λ-deformation for the near-horizon limit of the NS1-NS5-NS5 setup, and we show that it is 1/4 supersymmetric. The background presented in [15] can be obtained by a zoom-in limit that makes one of the deformed three-spheres flat. We also consider the Penrose limits [16] around two null geodesics of the deformed geometry and demonstrate the non-existence of supernumerary supercharges for the pp-wave solutions.…”