Results 1  10
of
26
FiniteSize Corrections of the CP 3 Giant Magnons: the Lüscher terms,” [arXiv:0810.0704
 in the SU(2) × SU(2) sector of AdS4 × CP 3 ,” [arXiv:0810.1246
"... We compute classical and first quantum finitesize corrections to the recently found giant magnon solutions in two different subspaces of CP 3. We use the Lüscher approach on the recently proposed exact Smatrix for N = 6 superconformal ChernSimons theory. We compare our results with the string and ..."
Abstract

Cited by 6 (2 self)
 Add to MetaCart
We compute classical and first quantum finitesize corrections to the recently found giant magnon solutions in two different subspaces of CP 3. We use the Lüscher approach on the recently proposed exact Smatrix for N = 6 superconformal ChernSimons theory. We compare our results with the string and algebraic curve computations and find agreement, thus providing a nontrivial test for the new AdS4/CFT3 correspondence within an integrability framework. 1
arXiv:1111.2839v3 Real and Virtual Bound States in Lüscher Corrections for CP 3 Magnons
, 2011
"... We study classical and quantum finitesize corrections to giant magnons in AdS4 × CP 3 using generalised Lüscher formulae. Lüscher Fterms are organised in powers of the exponential suppression factor (e−∆/2h)m, and we calculate all terms in this series, matching oneloop algebraic curve results ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
(Show Context)
We study classical and quantum finitesize corrections to giant magnons in AdS4 × CP 3 using generalised Lüscher formulae. Lüscher Fterms are organised in powers of the exponential suppression factor (e−∆/2h)m, and we calculate all terms in this series, matching oneloop algebraic curve results from our previous paper [1]. Starting with the second term, the structure of these terms is different to those in AdS5 × S5 thanks to the appearance of heavy modes in the loop, which can here be interpreted as twoparticle bound states in the mirror theory. By contrast, physical bound states can represent dyonic giant magnons, and we also calculate Fterms for these solutions. Lüscher µterms, suppressed by e−∆/E, instead give at leading order the classical finitesize correction. For the elementary dyonic giant magnon we recover the correction given by [2]. We then extend this to calculate the next term in 1/h, giving a oneloop prediction. Finally we also calculate Fterms for the various composite giant magnons, RP 3 and ‘big’, again finding agreement to all orders.
A nexttoleading Lüscher formula
"... We propose a nexttoleading Lüscherlike formula for the finitesize corrections of the excited states energies in integrable theories. We conjecture the expressions of the corrections for both the energy and the particles ’ rapidities by interpreting the excited states as momentadependent defect ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
We propose a nexttoleading Lüscherlike formula for the finitesize corrections of the excited states energies in integrable theories. We conjecture the expressions of the corrections for both the energy and the particles ’ rapidities by interpreting the excited states as momentadependent defects. We check the resulting formulas in some simple relativistic model and conjecture those for the AdS5/CFT4 case. ar X iv
Giant magnons in TsTtransformed AdS5 × S 5
, 805
"... Abstract: We consider giant magnons propagating in a γdeformed AdS5 × S 5 background obtained from AdS5 × S 5 by means of a chain of TsT transformations. We point out that in the lightcone gauge and in the infinite J limit the deformed and undeformed string models share the same magnon dispersion ..."
Abstract
 Add to MetaCart
Abstract: We consider giant magnons propagating in a γdeformed AdS5 × S 5 background obtained from AdS5 × S 5 by means of a chain of TsT transformations. We point out that in the lightcone gauge and in the infinite J limit the deformed and undeformed string models share the same magnon dispersion relation, the su(22) ⊕ su(22)invariant worldsheet Smatrix and the dressing factor. The γdependence in the limit is only due to different levelmatching conditions. We consider the reduction of the deformed model to R ×S 3 and determine the leading γdependence of the dispersion relation for a finite J giant magnon.
The Smatrix of String Bound States
, 803
"... Abstract: We find the Smatrix which describes the scattering of twoparticle bound states of the lightcone string sigma model on AdS5 × S5. We realize the Mparticle bound state representation of the centrally extended su(22) algebra on the space of homogeneous (super)symmetric polynomials of deg ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract: We find the Smatrix which describes the scattering of twoparticle bound states of the lightcone string sigma model on AdS5 × S5. We realize the Mparticle bound state representation of the centrally extended su(22) algebra on the space of homogeneous (super)symmetric polynomials of degree M depending on two bosonic and two fermionic variables. The scattering matrix SMN of M and Nparticle bound states is a differential operator of degree M + N acting on the product of the corresponding polynomials. We require this operator to obey the invariance condition and the YangBaxter equation, and we determine it for the two cases M = 1, N = 2 and M = N = 2. We show that the Smatrices found satisfy generalized physical unitarity, CPT invariance, parity transformation rule and crossing symmetry. Although the dressing factor as a function of four parameters x + 1, x−1, x+ 2, x−2 is universal for scattering of any bound states, it obeys a crossing symmetry equation which depends on M and N.
The Bound State SMatrix for AdS5 × S 5 Superstring
, 902
"... Abstract: We determine the Smatrix that describes scattering of arbitrary bound states in the lightcone string theory in AdS5 × S 5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state representations. The basic analytic structure supporti ..."
Abstract
 Add to MetaCart
Abstract: We determine the Smatrix that describes scattering of arbitrary bound states in the lightcone string theory in AdS5 × S 5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state representations. The basic analytic structure supporting the Smatrix entries turns out to be the hypergeometric function 4F3. We show that for particular bound state numbers it reproduces all the scattering matrices previously obtained in the literature. Our findings should be relevant for the TBA and Lüscher approaches to the finitesize spectral problem. They also shed some light on the construction of the universal Rmatrix for the centrallyextended psu(22)