Spiky strings in AdS{sub 3}xS{sup 1} and their AdS-pp-wave limits

Journal Article · Thu Jan 15 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.026006· OSTI ID:21259855

Ishizeki, R; Kruczenski, M; Tirziu, A; Tseytlin, A A ^[1]

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1. Department of Physics, Purdue University, 525 Northwestern Avenue, W. Lafayette, Indiana 47907-2036 (United States)

We study a class of classical solutions for closed strings moving in AdS{sub 3}xS{sup 1} subset of AdS{sub 5}xS{sup 5} with energy E and spin S in AdS{sub 3} and angular momentum J and winding m in S{sup 1}. They have rigid shape with n spikes in AdS{sub 3}. We find that when J or m are nonzero, the spikes do not end in cusps. We consider in detail a special large n limit in which S{approx}n{sup 2}, J{approx}n, i.e. S>>J>>1, with (E+S/n{sup 2}), (E-S/n), (J/n), (m/n) staying finite. In that limit the spiky spinning string approaches the boundary of AdS{sub 5}. We show that the corresponding solution can be interpreted as describing a periodic-spike string moving in AdS{sub 3}-pp-wavexS{sup 1} background. The resulting expression for the string energy should represent a strong-coupling prediction for anomalous dimension of a class of dual gauge theory states in a particular thermodynamic limit of the SL(2,R) spin chain.

• OSTI ID: 21259855
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
CUSPED GEOMETRIES
DE SITTER GROUP
FORECASTING
GAUGE INVARIANCE
MATHEMATICAL SOLUTIONS
PERIODICITY
SPIN
STRING MODELS
STRONG-COUPLING MODEL