Abstract
We propose a closed string tachyon action including kinetic
and potential terms for non-supersymmetric orbifolds. The action is
given in terms of solutions to tt* equations which captures the
geometry of vacua of the corresponding N = 2 worldsheet theory. In
certain cases the solutions are well studied. In case of tachyons of
/
n, solutions to affine toda equations
determine the action. We study the particular case of
/3→ in detail and find
that the Tachyon action is determined in terms of a solution to
Painleve III equation.
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