Semiclassical rigid strings with two spins in AdS_5

Abstract

Semiclassical spinning string states in AdS_5 are, in general, characterised 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 non-zero 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 \log S 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.

34 pages, 9 figures

References in corpus (11)

• Gluon scattering amplitudes at strong coupling
• Giant Magnons
• Comments on operators with large spin
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• Logarithmic scaling in gauge/string correspondence
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Cited by in corpus (11)

• Exciting the GKP string at any coupling
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Double-helix Wilson loops: case of two angular momenta
• From weak coupling to spinning strings
• Stringy Membranes in AdS/CFT
• Spiky strings in de Sitter space
• Spinning pulsating strings in $(Ad{S}_5\times S^5{)}_{\varkappa }$
• Spiky Strings with Two Spins in AdS5
• On the algebraic curves for circular and folded strings in ${\text{AdS}}_5\times S^5$
• On classical string solutions in AdS_5 x S^5