Dyonic giant magnons

Chen, Heng‐Yu; Dorey, Nick; Okamura, Keisuke

doi:10.1088/1126-6708/2006/09/024

Cited by 175 publications

(264 citation statements)

References 36 publications

Supporting

Mentioning

253

Contrasting

Unclassified

Order By: Relevance

“…The simple giant magnon is a string solution living in a R × S 3 subspace of AdS 5 × S 5 . The giant magnon solution can be extended to a solution in R × S 3 , the dyonic giant magnon [51], which carries angular momentum M along the additional angle. This solution corresponds to a bound state of |M | fundamental magnons [52].…”

Section: Giant Magnonsmentioning

confidence: 99%

Dressing phases ofAdS3/CFT2

et al. 2013

View full text Add to dashboard Cite

This is the unspecified version of the paper.This version of the publication may differ from the final published version. Permanent repository link AbstractWe determine the all-loop dressing phases of the AdS 3 /CFT 2 integrable system related to type IIB string theory on AdS 3 ×S 3 ×T 4 by solving the recently found crossing relations and studying their singularity structure. The two resulting phases present a novel structure with respect to the ones appearing in AdS 5 /CFT 4 and AdS 4 /CFT 3 . In the strongly-coupled regime, their leading order reduces to the universal Arutyunov-Frolov-Staudacher phase as expected. We also compute their sub-leading order and compare it with recent one-loop perturbative results, and comment on their weak-coupling expansion.

show abstract

Section: Giant Magnonsmentioning

confidence: 99%

Dressing phases ofAdS3/CFT2

et al. 2013

View full text Add to dashboard Cite

show abstract

“…In all cases, the Weierstrass function ℘ obeys the following half-period relations 23) where ω 3 := ω 1 + ω 2 . If ∆ = 0, then at least two of the roots are equal and the Weierstrass function ℘ takes a special form, which is not doubly periodic, but trigonometric.…”

Section: Some Properties Of the Weierstrass Function ℘mentioning

confidence: 99%

“…In the context of holographic dualities [16][17][18], it is particularly interesting to study the reduction of string actions in AdS 5 ×S 5 [19][20][21], where kink solutions of the reduced integrable systems were understood as magnon solutions [22,23] and likewise in AdS 4 ×CP 3 [24] in the framework of the ABJM conjecture [25].…”

Section: Introductionmentioning

confidence: 99%

On elliptic string solutions in AdS3 and dS3

Bakas

Pastras

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

Classical string actions in AdS 3 and dS 3 can be connected to the sinh-Gordon and cosh-Gordon equations through Pohlmeyer reduction. We show that the problem of constructing a classical string solution with a given static or translationally invariant Pohlmeyer counterpart is equivalent to solving four pairs of effective Schrödinger problems. Each pair consists of a flat potential and an n = 1 Lamé potential whose eigenvalues are connected, and, additionally, the four solutions satisfy a set of constraints. An approach for solving this system is developed by employing an interesting connection between the specific class of classical string solutions and the band structure of the Lamé potential. This method is used for the construction of several families of classical string solutions, one of which turns out to be the spiky strings in AdS 3 . New solutions include circular rotating strings in AdS 3 with singular time evolution of their radius and angular velocity as well as classical string solutions in dS 3 .

show abstract

“…., where the time period is T = π/(m cos q). For the dyonic giant magnon, this gives [4] Dyonic Giant Magnon:…”

Section: Semi-classical Quantization Of the Dyonsmentioning

confidence: 99%

“…The reason is that, under special circumstances, when the spacetime is of the form R t × F/G, with F/G a symmetric space like S n or CP n , the world-sheet theory is a non-relativistic integrable system. The excitations of the string are known as giant magnons [2][3][4][5][6][7][8], which are soliton-like solutions on the string world-sheet, and in many cases the exact factorizable S-matrix is already known [9][10][11][12][13]. More precisely the giant magnons are kink solutions that correspond to open strings and have to be put together to make closed string configurations.…”

Section: Introductionmentioning

confidence: 99%

The semi-classical spectrum of solitons and giant magnons

Hollowood

Miramontes

2011

J. High Energ. Phys.

View full text Add to dashboard Cite

In this note, we summarize recent progress in constructing and then semi-classically quantizing solitons, or non-abelian Q-balls, in the symmetric space sine-Gordon theories. We then consider the images of these solitons in the related constrained sigma model, which are the dyonic giant magnons on the string theory world-sheet. Focussing on the case of the symmetric space S 5 , we perform a semi-classical quantization of the solitons and magnons and show that both lead to Chern-Simons quantum mechanics on the internal moduli space which is a real Grassmannian SO(4)/SO(2) × SO(2) but-importantly-with a different coupling constant. Quantizing this system shows that both the Q-balls and magnons come in a tower of states transforming in symmetric representations of the SO(4) symmetry group; however, the former come in a finite tower whereas the latter come in the well-known infinite tower of dyonic giant magnons.

show abstract

Dyonic giant magnons

Cited by 175 publications

References 36 publications

Dressing phases ofAdS3/CFT2

Dressing phases ofAdS3/CFT2

On elliptic string solutions in AdS3 and dS3

The semi-classical spectrum of solitons and giant magnons

Contact Info

Product

Resources

About