LONDON, June 10 (Reuters) - An AI boom has driven stock markets to record highs,big tech firms are piling hundreds of billions of dollarsinto new tech, while consumers, workers and businesses are grappling with existential questions unleashed by the likes of ChatGPT and Claude. Some analysts say Artificial Intelligence will boost productivity and make businesses more profitable. But others warn of a dystopia of AI-fuelled mass unemployment where some sectors no longer exist.