A robo-advisor is an investment platform that builds and rebalances a diversified portfolio for you, based on a short risk-tolerance questionnaire and your investment horizon. You answer five or six questions, the platform picks a portfolio of low-cost trackers, and it manages the asset allocation and rebalancing automatically.
The pitch is simplicity. You don't pick funds, you don't track performance against benchmarks, you don't rebalance. In exchange, you pay an extra layer of platform fee on top of the underlying fund costs. UK robo-advisors charge between 0.20% and 0.75% per year as the platform fee, on top of a 0.10% to 0.30% fund OCF. The honest comparison is the all-in cost, not the headline platform fee.
The major UK robo-advisors are Nutmeg (JP Morgan-backed), Wealthify (Aviva-backed), Moneyfarm, InvestEngine, and AJ Bell's Dodl. Each has a different opinion on portfolio construction, but the underlying philosophy is the same: low-cost passive index funds wrapped in a managed envelope.