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Title: Spiky strings, lightlike Wilson loops, and pp-wave anomaly

Abstract

We consider rigid rotating closed strings with spikes in AdS{sub 5} dual to certain higher twist operators in N=4 SYM theory. In the limit of large spin when the spikes reach the boundary of AdS{sub 5}, the solutions with different numbers of spikes are related by conformal transformations, implying that their energy is determined by the same function of the 't Hooft coupling f({lambda}) that appears in the anomalous dimension of twist 2 operators or in the cusp anomaly. In the limit when the number of spikes goes to infinity, we find an equivalent description in terms of a string moving in an AdS pp-wave background. From the boundary theory point of view, the corresponding description is based on the gauge theory living in a 4d pp-wave space. Then, considering a charge moving at the speed of light, or a null Wilson line, we find that the integrated energy-momentum tensor has a logarithmic UV divergence that we call the 'pp-wave anomaly'. The AdS/CFT correspondence implies that, for N=4 SYM, this pp-wave anomaly should have the same value as the cusp anomaly. We verify this at lowest order in SYM perturbation theory. As a side result of our string theory analysis,more » we find new open string solutions in the Poincare patch of the standard AdS space which end on a lightlike Wilson line and also in two parallel lightlike Wilson lines at the boundary.« less

Authors:
;  [1]
  1. Department of Physics, Purdue University, West Lafayette, Indiana 47907-2036 (United States)
Publication Date:
OSTI Identifier:
21205234
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.77.126005; (c) 2008 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; COUPLING; CUSPED GEOMETRIES; DE SITTER GROUP; ENERGY-MOMENTUM TENSOR; GAUGE INVARIANCE; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; PERTURBATION THEORY; SPIN; STRING MODELS; SYMMETRY; TRANSFORMATIONS; VELOCITY; WILSON LOOP; YANG-MILLS THEORY

Citation Formats

Kruczenski, M, Tseytlin, A A, and Blackett Laboratory, Imperial College, London SW7 2AZ. Spiky strings, lightlike Wilson loops, and pp-wave anomaly. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.126005.
Kruczenski, M, Tseytlin, A A, & Blackett Laboratory, Imperial College, London SW7 2AZ. Spiky strings, lightlike Wilson loops, and pp-wave anomaly. United States. doi:10.1103/PHYSREVD.77.126005.
Kruczenski, M, Tseytlin, A A, and Blackett Laboratory, Imperial College, London SW7 2AZ. Sun . "Spiky strings, lightlike Wilson loops, and pp-wave anomaly". United States. doi:10.1103/PHYSREVD.77.126005.
@article{osti_21205234,
title = {Spiky strings, lightlike Wilson loops, and pp-wave anomaly},
author = {Kruczenski, M and Tseytlin, A A and Blackett Laboratory, Imperial College, London SW7 2AZ},
abstractNote = {We consider rigid rotating closed strings with spikes in AdS{sub 5} dual to certain higher twist operators in N=4 SYM theory. In the limit of large spin when the spikes reach the boundary of AdS{sub 5}, the solutions with different numbers of spikes are related by conformal transformations, implying that their energy is determined by the same function of the 't Hooft coupling f({lambda}) that appears in the anomalous dimension of twist 2 operators or in the cusp anomaly. In the limit when the number of spikes goes to infinity, we find an equivalent description in terms of a string moving in an AdS pp-wave background. From the boundary theory point of view, the corresponding description is based on the gauge theory living in a 4d pp-wave space. Then, considering a charge moving at the speed of light, or a null Wilson line, we find that the integrated energy-momentum tensor has a logarithmic UV divergence that we call the 'pp-wave anomaly'. The AdS/CFT correspondence implies that, for N=4 SYM, this pp-wave anomaly should have the same value as the cusp anomaly. We verify this at lowest order in SYM perturbation theory. As a side result of our string theory analysis, we find new open string solutions in the Poincare patch of the standard AdS space which end on a lightlike Wilson line and also in two parallel lightlike Wilson lines at the boundary.},
doi = {10.1103/PHYSREVD.77.126005},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 77,
place = {United States},
year = {2008},
month = {6}
}