A new type of loop equations

We derive a new form of loop equations for light-like Wilson loops. In boso nic theories those loop equations close only for straight light-like Wilson lines. In the case of N = 1 in ten dimensions they close for any light-lik e Wilson loop. Upon dimensional reduction to N = 4 SYM in four dimensions, these loops become exactly the chiral loops which can be evaluated semiclas sically, in the strong coupling limit, by a minimal surface in anti de-Sitt er space. We show that the AdS calculation satisfies those loop equations. We also find a new fermionic loop equation derived from the gauge theory fe rmionic equation of motion.