Step 1: Understanding the Concept:
In swine nutrition, deficiencies of specific B-complex vitamins can cause localized demyelination of peripheral nerves, leading to characteristic locomotor deficits.
Step 2: Detailed Explanation:
1. "Goose-stepping" is a distinctive clinical sign in growing pigs where they lift their hind legs high in a stiff, military-style gait.
2. This neurological sign is caused by a deficiency of Pantothenic acid (Vitamin \(\text{B}_5\)).
3. Pantothenic acid is an essential precursor of Coenzyme A (CoA), which is required for fatty acid and myelin synthesis.
4. Deficiency leads to progressive sciatic nerve degeneration and demyelination, causing the characteristic gait.
Step 3: Final Answer:
The correct option is 2, which corresponds to Pantothenic acid.