Abstract
In this paper we present an effort to extend the LLM construction of $1/2$ BPS states in minimal IIB supergravity to configurations that preserve $1/4$ of the total number of supersymmetries. Following the same techniques we reduce the problem to that of a single scalar which satisfies a nonlinear equation. In particular, the scalar is identified to be the Kahler potential with which a four dimensional base space is equipped.
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