Segmented strings and the McMillan map

Steven S. Gubser; Sarthak Parikh; Przemek Witaszczyk

doi:10.1007/JHEP07(2016)122

Segmented strings and the McMillan map

Steven S. Gubser, Sarthak Parikh, Przemek Witaszczyk

Physics

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6 Scopus citations

Abstract

We present new exact solutions describing motions of closed segmented strings in AdS₃ in terms of elliptic functions. The existence of analytic expressions is due to the integrability of the classical equations of motion, which in our examples reduce to instances of the McMillan map. We also obtain a discrete evolution rule for the motion in AdS₃ of arbitrary bound states of fundamental strings and D1-branes in the test approximation.

Original language	English (US)
Article number	122
Journal	Journal of High Energy Physics
Volume	2016
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2016)122
State	Published - Jul 1 2016

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

AdS-CFT Correspondence
Long strings

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10.1007/JHEP07(2016)122

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N2 - We present new exact solutions describing motions of closed segmented strings in AdS3 in terms of elliptic functions. The existence of analytic expressions is due to the integrability of the classical equations of motion, which in our examples reduce to instances of the McMillan map. We also obtain a discrete evolution rule for the motion in AdS3 of arbitrary bound states of fundamental strings and D1-branes in the test approximation.

AB - We present new exact solutions describing motions of closed segmented strings in AdS3 in terms of elliptic functions. The existence of analytic expressions is due to the integrability of the classical equations of motion, which in our examples reduce to instances of the McMillan map. We also obtain a discrete evolution rule for the motion in AdS3 of arbitrary bound states of fundamental strings and D1-branes in the test approximation.

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KW - Long strings

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JF - Journal of High Energy Physics

IS - 7

M1 - 122

ER -

Segmented strings and the McMillan map

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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