Giant magnon solution and dispersion relation in string theory in $AdS_3$x$S^3$x$T^4$ with mixed flux - INSPIRE

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Giant magnon solution and dispersion relation in string theory in $AdS_3$ x $S^3$ x $T^4$ with mixed flux

B. Hoare
(
- Humboldt U., Berlin
)
,
A. Stepanchuk
(
- Imperial Coll., London
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)

Nov 7, 2013

30 pages

Published in:

Nucl.Phys.B 879 (2014) 318-347

Published: Nov 30, 2015

e-Print:

1311.1794 [hep-th]

DOI:

10.1016/j.nuclphysb.2013.12.011

Report number:

IMPERIAL-TP-AS-2013-01,
HU-EP-13-56

View in:

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Abstract: (Elsevier)

We address the question of the exact form of the dispersion relation for light-cone string excitations in string theory in AdS3×S3×T4 with mixed R–R and NS–NS 3-form fluxes. The analogy with string theory in AdS5×S5 suggests that in addition to the data provided by the perturbative near-BMN expansion and symmetry algebra considerations there is another source of information for the dispersion relation – the semiclassical giant magnon solution. In earlier work in arXiv:1303.1037 and arXiv:1304.4099 we found that the symmetry algebra constraints, which are consistent with a perturbative expansion, do not completely determine the form of the dispersion relation. The aim of the present paper is to fix the dispersion relation by constructing a generalisation of the known dyonic giant magnon soliton on S3 to the presence of a non-zero NS–NS flux described by a WZ term in the string action (with coefficient q ). We find that the angular momentum of this soliton gets shifted by a term linear in world-sheet momentum p. We also discuss the symmetry algebra of the string light-cone S-matrix and show that the exact dispersion relation, which should have the correct perturbative BMN and semiclassical giant magnon limits, should also contain such a linear momentum term. The simplicity of the resulting bound-state picture provides a strong argument in favour of this dispersion relation.

Note:

32 pages. v2: minor comments added

magnon: giant
string: excited state
constraint: algebra
dispersion relation
anti-de Sitter
string model
semiclassical
light cone
soliton
flux

References(46)

Figures(0)

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