To prepare dressing, combine the first 9 ingredients in a small bowl, stirring well with a whisk.
To prepare salad, combine spelt, 1 1/2 cups broth, and 1 cup water in a saucepan, and bring to a boil. Reduce heat, and simmer 25 minutes.
While the spelt is cooking, bring water to a boil in a medium saucepan, and add green beans and sliced carrots. Cook until crisp-tender. Drain and plunge into cold water. Drain again. Combine spelt, green beans, carrots, and remaining ingredients in a large bowl. Add dressing, and toss well to coat. Let stand for 30 minutes, stirring occasionally.