Step 1: Understand auxins.
Auxins are a class of plant growth hormones mainly involved in cell elongation, apical dominance, root initiation, and tropic responses in plants.
Step 2: Analyze Indole-3-acetic acid (IAA).
Indole-3-acetic acid is the principal naturally occurring auxin found in plants. Therefore, option (A) is an auxin.
Step 3: Analyze Phenylacetic acid.
Phenylacetic acid also exhibits auxin-like activity and is considered a naturally occurring auxin in plants. Hence, option (C) is an auxin.
Step 4: Analyze Indole-3-butyric acid (IBA).
Indole-3-butyric acid is a synthetic or naturally occurring auxin commonly used for stimulating root formation in plant cuttings. Thus, option (D) is also an auxin.
Step 5: Analyze Abscisic acid (ABA).
Abscisic acid is not an auxin. It is a different class of plant hormone mainly associated with stress responses, seed dormancy, and stomatal closure.
Step 6: Compare all options.
Among the given compounds, only abscisic acid belongs to a different plant hormone category and does not function as an auxin.
Step 7: Final conclusion.
Therefore, the compound that is NOT an auxin is abscisic acid.
\[
\boxed{\text{Abscisic acid}}
\]
Hence, the correct answer is option (B).