New York State Common Retirement Fund, Albany, may need a $1.1 billion cash infusion from the state on April 1, when the next fiscal year starts, if equity market returns dont improve, state Comptroller Alan Hevesi warned today. The state contributed $138 million to the fund during the current fiscal year. Unless markets rebound, the $97 billion plan is also likely to increase local government contribution rates to 11% of payroll next year from about 1% now, Mr. Hevesi said. For local police and firefighters, the contribution rates could rise from zero to 15% of payroll, he said. Contribution rates for the 2004 fiscal year will be determined by the value of the fund on March 31.