Quantum corrections to spinning superstrings in AdS(3) x S-3 x M-4: determining the dressing phase

M. Beccaria; F. Levkovic-Maslyuk; Guido Macorini; A.A. Tseytlin

doi:10.1007/jhep04(2013)006

Quantum corrections to spinning superstrings in AdS(3) x S-3 x M-4: determining the dressing phase

M. Beccaria, F. Levkovic-Maslyuk, Guido Macorini, A.A. Tseytlin

Experimental Particle Physics

52 Citations (Scopus)

Abstract

We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS ₃ × S ³ × T ⁴ supported by RR flux. We find that the phase should be different from the phase appearing in the AdS ₅ × S ⁵ case. We use the simplest example of a rigid circular string with two equal spins in S ³ and also consider the general approach based on the algebraic curve description. We also discuss the case of the AdS ₃ × S ³ × S ³ × S ¹ theory and find the dependence of the 1-loop correction to the effective string tension function h(λ) (expected to enter the magnon dispersion relation) on the parameter α related to the ratio of the two 3-sphere radii. This correction vanishes in the AdS ₃ × S ³ × T ⁴ case.

Original language	English
Article number	006
Journal	Journal of High Energy Physics (Online)
Volume	2103
Issue number	4
ISSN	1126-6708
DOIs	https://doi.org/10.1007/jhep04(2013)006
Publication status	Published - 1 Apr 2013

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title = "Quantum corrections to spinning superstrings in AdS(3) x S-3 x M-4: determining the dressing phase",

abstract = "We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS 3 × S 3 × T 4 supported by RR flux. We find that the phase should be different from the phase appearing in the AdS 5 × S 5 case. We use the simplest example of a rigid circular string with two equal spins in S 3 and also consider the general approach based on the algebraic curve description. We also discuss the case of the AdS 3 × S 3 × S 3 × S 1 theory and find the dependence of the 1-loop correction to the effective string tension function h(λ) (expected to enter the magnon dispersion relation) on the parameter α related to the ratio of the two 3-sphere radii. This correction vanishes in the AdS 3 × S 3 × T 4 case.",

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T1 - Quantum corrections to spinning superstrings in AdS(3) x S-3 x M-4

T2 - determining the dressing phase

AU - Beccaria, M.

AU - Levkovic-Maslyuk, F.

AU - Macorini, Guido

AU - Tseytlin, A.A.

PY - 2013/4/1

Y1 - 2013/4/1

N2 - We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS 3 × S 3 × T 4 supported by RR flux. We find that the phase should be different from the phase appearing in the AdS 5 × S 5 case. We use the simplest example of a rigid circular string with two equal spins in S 3 and also consider the general approach based on the algebraic curve description. We also discuss the case of the AdS 3 × S 3 × S 3 × S 1 theory and find the dependence of the 1-loop correction to the effective string tension function h(λ) (expected to enter the magnon dispersion relation) on the parameter α related to the ratio of the two 3-sphere radii. This correction vanishes in the AdS 3 × S 3 × T 4 case.

AB - We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS 3 × S 3 × T 4 supported by RR flux. We find that the phase should be different from the phase appearing in the AdS 5 × S 5 case. We use the simplest example of a rigid circular string with two equal spins in S 3 and also consider the general approach based on the algebraic curve description. We also discuss the case of the AdS 3 × S 3 × S 3 × S 1 theory and find the dependence of the 1-loop correction to the effective string tension function h(λ) (expected to enter the magnon dispersion relation) on the parameter α related to the ratio of the two 3-sphere radii. This correction vanishes in the AdS 3 × S 3 × T 4 case.

U2 - 10.1007/jhep04(2013)006

DO - 10.1007/jhep04(2013)006

M3 - Journal article

SN - 1126-6708

VL - 2103

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 4

M1 - 006

ER -

Quantum corrections to spinning superstrings in AdS(3) x S-3 x M-4: determining the dressing phase

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