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In the following plot, one of the two functions

{-par, par}

defined by

par = (2 + 3 Subscript[y, 3] - 
 9 (Subscript[y, 3])^2 + ((1 + 3 Subscript[y, 3])^2 (4 - 
     36 (Subscript[y, 1])^2 - 12 Subscript[y, 3] + 
     9 (Subscript[y, 3])^2))^(1/2))^(1/2)/(3 Sqrt[2]);

has an erroneously reduced domain:

Plot3D[{-par, par}, {Subscript[y, 3], -(1/3), 2/3}, 
{Subscript[y, 1], -(Subscript[y, 3] - 2/3)/2, 
(Subscript[y, 3] - 2/3)/2}, BoxRatios -> Automatic]

When I replace the variables

{ Subscript[y, 1], Subscript[y, 3] }

by

{ a, b } 

then the error disappears.

I am using Mathmatica 9 on Mac OS X

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