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

Abstract

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.

Authors:
; ; ;  [1]
  1. Department of Physics, Purdue University, 525 Northwestern Avenue, W. Lafayette, Indiana 47907-2036 (United States)
Publication Date:
OSTI Identifier:
21259855
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.79.026006; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Ishizeki, R, Kruczenski, M, Tirziu, A, Tseytlin, A A, and Blackett Laboratory, Imperial College, London SW7 2AZ. Spiky strings in AdS{sub 3}xS{sup 1} and their AdS-pp-wave limits. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.026006.
Ishizeki, R, Kruczenski, M, Tirziu, A, Tseytlin, A A, & Blackett Laboratory, Imperial College, London SW7 2AZ. Spiky strings in AdS{sub 3}xS{sup 1} and their AdS-pp-wave limits. United States. https://doi.org/10.1103/PHYSREVD.79.026006
Ishizeki, R, Kruczenski, M, Tirziu, A, Tseytlin, A A, and Blackett Laboratory, Imperial College, London SW7 2AZ. 2009. "Spiky strings in AdS{sub 3}xS{sup 1} and their AdS-pp-wave limits". United States. https://doi.org/10.1103/PHYSREVD.79.026006.
@article{osti_21259855,
title = {Spiky strings in AdS{sub 3}xS{sup 1} and their AdS-pp-wave limits},
author = {Ishizeki, R and Kruczenski, M and Tirziu, A and Tseytlin, A A and Blackett Laboratory, Imperial College, London SW7 2AZ},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.79.026006},
url = {https://www.osti.gov/biblio/21259855}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 2,
volume = 79,
place = {United States},
year = {Thu Jan 15 00:00:00 EST 2009},
month = {Thu Jan 15 00:00:00 EST 2009}
}