Abstract. A strategy for proving (n

Abstract. A strategy for proving (not a proof of, as was the first overoptimistic belief) the Riemann hypothesis is suggested. The vanishing of Riemann Zeta reduces to an orthogonality condition for the eigenfunctions of anon-Hermitian operator D+ having the zeros of Riemann Zeta as its eigenvalues. The construction of D+ is inspired by the conviction that Riemann Zetais associated with a physical system allowing superconformal transformationsas its symmetries and second quantization in terms of the representations ofsuperconformal algebra. The eigenfunctions of D+ are analogous to the socalled coherent states and in general not orthogonal to each other. The statesorthogonal to a vacuum state (having a negative norm squared) correspondto the zeros of Riemann Zeta. The physical states having a positive normsquared correspond to the zeros of Riemann Zeta at the critical line. Riemannhypothesis follows by reductio ad absurdum from the hypothesis that ordinarysuperconformal algebra acts as gauge symmetries for all coherent states orthogonal to the vacuum state, including also the non-physical might-be coherentstates off from the critical line.