Rational three-spin string duals and non-anomalous finite size effects

Lisa Freyhult; Charlotte Kristjansen

doi:10.1088/1126-6708/2005/05/043

Rational three-spin string duals and non-anomalous finite size effects

Lisa Freyhult, Charlotte Kristjansen

Theoretical high energy, astroparticle and gravitational physics

17 Citations (Scopus)

Abstract

We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size corrections are conjectured to encode information about string sigma model loop corrections to the spectrum of type IIB superstrings on AdS_5xS^5. We compare our result to the zero-mode contribution to the leading quantum string correction derived for the stable three-spin string with two out of the three spin labels identical and observe agreement. As a side result we clarify the relation between the Bethe root description of three-spin strings of the type (J,J',J') with respectively J>J' and JJ.

Original language	English
Journal	Journal of High Energy Physics
Volume	2005
ISSN	1126-6708
DOIs	https://doi.org/10.1088/1126-6708/2005/05/043
Publication status	Published - 14 Feb 2005

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10.1088/1126-6708/2005/05/043

Cite this

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title = "Rational three-spin string duals and non-anomalous finite size effects",

abstract = "We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size corrections are conjectured to encode information about string sigma model loop corrections to the spectrum of type IIB superstrings on AdS_5xS^5. We compare our result to the zero-mode contribution to the leading quantum string correction derived for the stable three-spin string with two out of the three spin labels identical and observe agreement. As a side result we clarify the relation between the Bethe root description of three-spin strings of the type (J,J',J') with respectively J>J' and JJ.",

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T1 - Rational three-spin string duals and non-anomalous finite size effects

AU - Freyhult, Lisa

AU - Kristjansen, Charlotte

N1 - 15 pages, v2: comparison to string theory changed, references added, v3: textual modifications and title changed

PY - 2005/2/14

Y1 - 2005/2/14

N2 - We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size corrections are conjectured to encode information about string sigma model loop corrections to the spectrum of type IIB superstrings on AdS_5xS^5. We compare our result to the zero-mode contribution to the leading quantum string correction derived for the stable three-spin string with two out of the three spin labels identical and observe agreement. As a side result we clarify the relation between the Bethe root description of three-spin strings of the type (J,J',J') with respectively J>J' and JJ.

AB - We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size corrections are conjectured to encode information about string sigma model loop corrections to the spectrum of type IIB superstrings on AdS_5xS^5. We compare our result to the zero-mode contribution to the leading quantum string correction derived for the stable three-spin string with two out of the three spin labels identical and observe agreement. As a side result we clarify the relation between the Bethe root description of three-spin strings of the type (J,J',J') with respectively J>J' and JJ.

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DO - 10.1088/1126-6708/2005/05/043

M3 - Journal article

SN - 1126-6708

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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