Abstract
Although the AdS5 × S5 worldsheet action is not quadratic,
some features of the pure spinor formalism are simpler in an
AdS5 × S5 background than in a flat background. The BRST
operator acts geometrically, the left and right-moving pure
spinor ghosts can be treated as complex conjugates, the zero mode
measure factor is trivial, and the b ghost does not require non-minimal
fields.
Furthermore, a topological version of the AdS5 × S5
action with the same worldsheet variables
and BRST operator can be constructed by gauge-fixing
a G/G principal chiral model where
G = PSU(2,2|4). This topological model is argued to describe
the zero radius limit that is dual to free 
= 4 super-Yang-Mills
and can also be interpreted as an ``unbroken phase'' of superstring theory.
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