We investigate phenomenological four-dimensional (4D) dS solutions with co-dimension 2 branes and finite 4D Planck mass in six dimensions. We present the conditions under which six-dimensional compactifications with holomorphic axion–dilaton field or models with pure gravity with local sources can yield 4D dS solutions. Different classes of solutions are specified by a holomorphic function describing different embeddings of multiple conical branes. Depending on the local singularities of this holomorphic function and the topology of the compact dimension, one has to introduce 3-branes creating a deficit angle equal to π and/or 4-branes with positive tensions.

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