A description of 1/4 BPS configurations in minimal type IIB SUGRA
Aristomenis Donos
TL;DR
This paper extends the construction of 1/2 BPS states in minimal type IIB supergravity to 1/4 BPS configurations, reducing the problem to a nonlinear scalar equation involving the Kahler potential.
Contribution
It introduces a method to describe 1/4 BPS states in minimal type IIB supergravity using a scalar equation related to the Kahler potential.
Findings
Reduced the problem to a single scalar nonlinear equation.
Identified the scalar as the Kahler potential for a 4D base space.
Extended the LLM construction to 1/4 BPS configurations.
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 non-linear 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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