Three-spin Strings on AdS_5 x S^5 from N=4 SYM

C. Kristjansen

doi:10.1016/j.physletb.2004.02.037

Three-spin Strings on AdS_5 x S^5 from N=4 SYM

C. Kristjansen

Teoretisk højenergi, astropartikel og gravitationel fysik

44 Citationer (Scopus)

47 Downloads (Pure)

Abstract

Using the integrable spin chain picture we study the one-loop anomalous dimension of certain single trace scalar operators of N=4 SYM expected to correspond to semi-classical string states on AdS_5 x S^5 with three large angular momenta (J_1,J_2,J_3) on S^5. In particular, we investigate the analyticity structure encoded in the Bethe equations for various distributions of Bethe roots. In a certain region of the parameter space our operators reduce to the gauge theory duals of the folded string with two large angular momenta and in another region to the duals of the circular string with angular momentum assignment (J,J',J'), J>J'. In between we locate a critical line. We propose that the operators above the critical line are the gauge theory duals of the circular elliptic string with three different spins and support this by a perturbative calculation.

Originalsprog	Engelsk
Tidsskrift	Physics Letters B
Vol/bind	586
Udgave nummer	1-2
Sider (fra-til)	106-116
ISSN	0370-2693
DOI	https://doi.org/10.1016/j.physletb.2004.02.037
Status	Udgivet - 4 feb. 2004

Emneord

hep-th

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10.1016/j.physletb.2004.02.037Licens: CC BY

1-s2.0-S0370269304003351-mainForlagets udgivne version, 247 KB

Citationsformater

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AB - Using the integrable spin chain picture we study the one-loop anomalous dimension of certain single trace scalar operators of N=4 SYM expected to correspond to semi-classical string states on AdS_5 x S^5 with three large angular momenta (J_1,J_2,J_3) on S^5. In particular, we investigate the analyticity structure encoded in the Bethe equations for various distributions of Bethe roots. In a certain region of the parameter space our operators reduce to the gauge theory duals of the folded string with two large angular momenta and in another region to the duals of the circular string with angular momentum assignment (J,J',J'), J>J'. In between we locate a critical line. We propose that the operators above the critical line are the gauge theory duals of the circular elliptic string with three different spins and support this by a perturbative calculation.

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