# Anti de Sitter radius

1. Feb 9, 2013

### gentsagree

The AdS4 radius is related to the cosmological constant by $\Lambda =\frac{-3}{b^{2}}$.

Is this true in any number of dimensions, or is there a generalised relation depending on number of dimensions n?

2. Feb 13, 2013

### instanton

In generic dimension $d$, the cosmological constant is related to AdS radius via $\Lambda=-\frac{(d-1)(d-2)}{2\ell^2}$.