Spiky strings in the Bethe ansatz at strong coupling

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.106004· OSTI ID:21409790

Kruczenski, M; Tirziu, A ^[1]

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1. Department of Physics, Purdue University, W. Lafayette, Indiana 47907-2036 (United States)

We study spiky string solutions in AdS{sub 3}xS{sup 1} that are characterized by two spins S, J as well as winding m in S{sup 1} and spike number n. We construct explicitly two-cut solutions by using the SL(2) asymptotic Bethe ansatz equations at leading order in strong coupling. Unlike the folded spinning string, these solutions have asymmetric distributions of Bethe roots. The solutions match the known spiky string classical results obtained directly from string theory for arbitrary semiclassical parameters, including J=0 and any value of S, namely, short and long strings. At large spins and winding number the string touches the boundary, and we find a new scaling limit with the energy given as E-S=(n/2{pi}){radical}(1+[(4{pi}{sup 2})/n{sup 2}](J{sup 2}/ln{sup 2}S+m{sup 2}/ln{sup 2}S))lnS. This is a generalization of the known scaling for the folded spinning string.

• OSTI ID: 21409790
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 10; Other Information: DOI: 10.1103/PhysRevD.81.106004; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER GROUP
ASYMMETRY
ASYMPTOTIC SOLUTIONS
DISTRIBUTION
EQUATIONS
SCALING
SEMICLASSICAL APPROXIMATION
SPIN
STRING MODELS
STRING THEORY
STRONG-COUPLING MODEL
ANGULAR MOMENTUM
APPROXIMATIONS
CALCULATION METHODS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
M-THEORY
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
SYMMETRY GROUPS