Something is wrong with my Wien Bridge
The minimum gain to start oscillation of a Wien Bridge Oscillator is three. So, if your circuit negative feedback resistors are in the ratio 2:1 then theoretically this is sufficient to start an oscillation.
However, it may take a year to build-up and, with slight losses (op-amps are not actually ideal) or tolerance issues on the two feedback resistors, then your oscillator may not start at all. For this reason, the feedback resistors need to be chosen such that your value for R1 is slightly greater than twice the value of R2.
Then it will start but then you'll encounter the next problem; the amplitude of the sine wave will continue to grow until the op-amp output clips the sinewave. And now you have a distorted sinewave which is not usually desirable.
For this reason, anyone designing a practical Wien Bridge Oscillator incorporates a variable gain stage that attempts to stabilize the amplitude at a fixed and fairly undistorted level. Traditionally this has been done with filament bulbs as per this wiki article: -

There is also this circuit that uses back-to-back diodes to slightly clip the sinewave as amplitude grows beyond a certain point: -

You can also use a JFET to provide amplitude stability: -

Picture from here.
So, take your pick.