In a large pot or Dutch oven, heat the sesame oil over medium heat. Add the ginger and sauté for about 1 minute until fragrant.
Stir in the red curry paste and lime zest strips. Cook for another 2 minutes, stirring frequently.
Add the chicken or vegetable stock to the pot, scraping the bottom to release any stuck bits. Bring the mixture to a gentle boil.
Once boiling, stir in the rice. Reduce the heat to a simmer and cover the pot. Let it cook for about 15 minutes or until the rice is tender.
Add the medium shrimp, frozen red bell pepper strips, frozen peas, carrot strips, and jalapeño slices to the pot. Stir gently and cook for an additional 5 minutes, or until the shrimp are pink and cooked through.
Remove the pot from heat and stir in the fresh lime juice and low-sodium soy sauce. Taste and adjust seasoning if necessary. Discard the lime zest strips before serving.
Ladle the soup into bowls and top with freshly chopped cilantro.