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Title: Classical string solutions in AdS{sub 5}xS{sup 5}

Abstract

We discuss some new simple closed bosonic string solutions in AdS{sub 5}xS{sup 5} that may be of interest in the context of AdS/CFT duality. In the first part of this work we consider solutions with two spins (S{sub 1},S{sub 2}) in AdS{sub 5}. Starting from the flat-space solutions and using perturbation theory in the curvature of AdS{sub 5} space, we construct leading terms in the small two-spin solution. We find corrections to the leading Regge term in the classical string energy and uncover a discontinuity in the spectrum for a certain type of solution. We then analyze the connection between small-spin and large-spin limits of string solutions in AdS{sub 5}. We show that the S{sub 1}=S{sub 2} solution in AdS{sub 5} found in earlier papers admits both limits only in the simplest cases of the folded and rigid circular strings. In the second part of the paper, we construct a new class of chiral solutions in R{sub t}xS{sup 5} for which embedding coordinates of S{sup 5} satisfy the linear Laplace equations. They generalize the previously studied rigid string solutions. We study in detail a simple nontrivial example.

Authors:
 [1]
  1. Blackett Laboratory, Imperial College, London SW7 2AZ (United Kingdom)
Publication Date:
OSTI Identifier:
21505042
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.83.046002; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; CHIRALITY; CORRECTIONS; DUALITY; LAPLACE EQUATION; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY; QUANTUM FIELD THEORY; SPECTRA; SPIN; STRING MODELS; ANGULAR MOMENTUM; COMPOSITE MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; EXTENDED PARTICLE MODEL; FIELD THEORIES; MATHEMATICAL MODELS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; PARTICLE PROPERTIES; QUARK MODEL; SPACE

Citation Formats

Murchikova, E M, and SINP, Moscow State University, 119991, Moscow. Classical string solutions in AdS{sub 5}xS{sup 5}. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.046002.
Murchikova, E M, & SINP, Moscow State University, 119991, Moscow. Classical string solutions in AdS{sub 5}xS{sup 5}. United States. https://doi.org/10.1103/PHYSREVD.83.046002
Murchikova, E M, and SINP, Moscow State University, 119991, Moscow. 2011. "Classical string solutions in AdS{sub 5}xS{sup 5}". United States. https://doi.org/10.1103/PHYSREVD.83.046002.
@article{osti_21505042,
title = {Classical string solutions in AdS{sub 5}xS{sup 5}},
author = {Murchikova, E M and SINP, Moscow State University, 119991, Moscow},
abstractNote = {We discuss some new simple closed bosonic string solutions in AdS{sub 5}xS{sup 5} that may be of interest in the context of AdS/CFT duality. In the first part of this work we consider solutions with two spins (S{sub 1},S{sub 2}) in AdS{sub 5}. Starting from the flat-space solutions and using perturbation theory in the curvature of AdS{sub 5} space, we construct leading terms in the small two-spin solution. We find corrections to the leading Regge term in the classical string energy and uncover a discontinuity in the spectrum for a certain type of solution. We then analyze the connection between small-spin and large-spin limits of string solutions in AdS{sub 5}. We show that the S{sub 1}=S{sub 2} solution in AdS{sub 5} found in earlier papers admits both limits only in the simplest cases of the folded and rigid circular strings. In the second part of the paper, we construct a new class of chiral solutions in R{sub t}xS{sup 5} for which embedding coordinates of S{sup 5} satisfy the linear Laplace equations. They generalize the previously studied rigid string solutions. We study in detail a simple nontrivial example.},
doi = {10.1103/PHYSREVD.83.046002},
url = {https://www.osti.gov/biblio/21505042}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 83,
place = {United States},
year = {Tue Feb 15 00:00:00 EST 2011},
month = {Tue Feb 15 00:00:00 EST 2011}
}