is achieved by incorporating anti $D3$-branes ($\overline{D3}$-branes) in the picture. The coefficient D depends on the number of $\overline{D3}$-branes introduced. The introduction of $\overline{D3}$-brane breaks supersymmetry and the results in a positive definite vacuum energy by compensating the AdS value of the scalar potential at the minimum. Moreover, by fine-tuning $D$, one can have a dS minimum close to zero.

We now employ the basic philosophy employed in KKLT model to the $4d$, $\mathcal{N} = 1$ supergravity to investigate the issue of small and positive cosmological constant with the generation of soft susy breaking terms at the TeV scale. In the present context, we restrict ourselves to the tree level contribution of the cosmological constant, while it is possible to limit the effect of radiative corrections in this computation[@ulrich]. We will show how the Kähler correction may lead to the AdS/dS nature of the scalar potential.

An Extended Scenario
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In this section a scenario in the context of $4d$, $\mathcal{N} = 1$ supergravity is constructed with an AdS minimum where supersymmetry is broken at an intermediate energy scale (lower than the Planck scale and higher than the TeV scale). In this construction $\Phi_M$ is assumed to run over the 