Rotating AdS3 ×S3 and Dyonic Strings from 3-Dimensions
Abstract
We make a general Killing spinor analysis of a particular D=3, \, N=4 gauged supergravity that comes from a consistent S3 reduction of D=6, \, N=(1,0) supergravity coupled to a single chiral tensor multiplet. We then focus on its supersymmetric solutions with a null Killing vector and find three new ones. Two of these, namely the null warped AdS3 (also known as the Schr\"odinger spacetime) and the charged domain wall solutions, admit non-trivial gauge fields which give rise to rotating solutions in 6-dimensions. The uplift of the first one produces an interesting AdS3 ×S3 background with a non-trivial rotation in the U(1) fiber direction of the S3 which retains the Schr\"odinger scale invariance that the seed solution has. The second one leads to the well-known rotating dyonic string solution. Finally, the uplift of the third one, which is a domain wall solution with no gauge fields, results in a distribution of dyonic strings.
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