Semiclassical rigid strings with two spins in AdS_{5}

Semiclassical spinning string states in AdS(5) are, in general, characterized by the three SO(2, 4) conserved charges: the energy E and the two spins S-1 and S-2. We discuss several examples of explicit classical solutions for rigid closed strings of (bended) circular shape with two nonzero spins. In particular, we identify a solution that should represent a state that has minimal energy for large values of the two equal spins. Similarly to the spiky string in AdS(3), in the large-spin limit this string develops long "arcs" that stretch towards the boundary of AdS(5). This allows the string to increase the spin while having the energy growing only logarithmically with S = S-1 + S-2. The large-spin asymptotics of such solutions is effectively controlled by their near-boundary parts which, as in the spiky string case, happen to be SO(2, 4) equivalent to segments of the straight folded spinning string. As a result, the coefficient of the logS term in the string energy should be given, up to an overall 3/2 coefficient, by the same universal scaling function (cusp anomaly) as in the folded string case, to all orders in the inverse string tension or strong-coupling expansion.