Showing papers by "Rafael I. Nepomechie published in 2008"
TL;DR: In this paper, the exact S-matrix for the planar limit of the = 6 super Chern-Simons theory was proposed for the AdS4/CFT3 correspondence.
Abstract: We propose the exact S-matrix for the planar limit of the = 6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS4/CFT3 correspondence. Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase. We use this S-matrix to formulate the asymptotic Bethe ansatz. Our result for the Bethe-Yang equations and corresponding Bethe ansatz equations confirms the all-loop Bethe ansatz equations recently conjectured by Gromov and Vieira.
188 citations
TL;DR: In this paper, the exact S-matrix for the planar limit of the N=6 super Chern-Simons theory was proposed for the AdS_4/CFT_3 correspondence.
Abstract: We propose the exact S-matrix for the planar limit of the N=6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS_4/CFT_3 correspondence. Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase. We use this S-matrix to formulate the asymptotic Bethe ansatz. Our result for the Bethe-Yang equations and corresponding Bethe ansatz equations confirms the all-loop Bethe ansatz equations recently conjectured by Gromov and Vieira.
52 citations
TL;DR: In this article, the Zamolodchikov-Faddeev algebra for the superstring sigma model on AdS5 × S5 was extended to the case of open strings attached to maximal giant gravitons, which was recently considered by Hofman and Maldacena.
Abstract: We extend the Zamolodchikov-Faddeev algebra for the superstring sigma model on AdS5 × S5, which was formulated by Arutyunov, Frolov and Zamaklar, to the case of open strings attached to maximal giant gravitons, which was recently considered by Hofman and Maldacena. We obtain boundary S-matrices which satisfy the standard boundary Yang-Baxter equation.
40 citations
TL;DR: In this paper, the Zamolodchikov-Faddeev algebra is used to derive factorizable boundary S-matrices that generalize those of Hofman and Maldacena.
Abstract: Beisert and Koroteev have recently found a bulk S-matrix corresponding to a q-deformation of the centrally-extended su(2|2) algebra of AdS/CFT. We formulate the associated Zamolodchikov-Faddeev algebra, using which we derive factorizable boundary S-matrices that generalize those of Hofman and Maldacena.
25 citations
TL;DR: The authors extended Sklyanin's construction of commuting open-chain transfer matrices to the SU(2|2) bulk and boundary S-matrices of AdS/CFT.
Abstract: We extend Sklyanin's construction of commuting open-chain transfer matrices to the SU(2|2) bulk and boundary S-matrices of AdS/CFT. Using the graded version of the S-matrices leads to a transfer matrix of particularly simple form. We also find an SU(1|1) boundary S-matrix which has one free boundary parameter.
21 citations
TL;DR: In this paper, an alternative S-matrix for the planar limit of the N=6 superconformal Chern-Simons theory was proposed, for which the scattering of A and B particles is not reflectionless.
Abstract: We have recently proposed an S-matrix for the planar limit of the N=6 superconformal Chern-Simons theory of Aharony, Bergman, Jafferis and Maldacena which leads to the all-loop Bethe ansatz equations conjectured by Gromov and Vieira. An unusual feature of this proposal is that the scattering of A and B particles is reflectionless. We consider here an alternative S-matrix, for which A-B scattering is not reflectionless. We argue that this S-matrix does not lead to the Bethe ansatz equations which are consistent with perturbative computations.
20 citations
TL;DR: In this article, an inversion identity for the open AdS/CFT SU(1|1) quantum spin chain was proved and the eigenvalues of the transfer matrix and corresponding Bethe ansatz equations were determined.
Abstract: We prove an inversion identity for the open AdS/CFT SU(1|1) quantum spin chain which is exact for finite size. We use this identity, together with an analytic ansatz, to determine the eigenvalues of the transfer matrix and the corresponding Bethe ansatz equations. We also solve the closed chain by algebraic Bethe ansatz.
9 citations
TL;DR: In this paper, the Zamolodchikov-Faddeev algebra is used to derive factorizable boundary S-matrices that generalize those of Hofman and Maldacena.
Abstract: Beisert and Koroteev have recently found a bulk S-matrix corresponding to a q-deformation of the centrally-extended su(2|2) algebra of AdS/CFT. We formulate the associated Zamolodchikov-Faddeev algebra, using which we derive factorizable boundary S-matrices that generalize those of Hofman and Maldacena.
8 citations
TL;DR: This paper extended Sklyanin's construction of commuting open-chain transfer matrices to the SU(2|2) bulk and boundary S-matrices of AdS/CFT.
Abstract: We extend Sklyanin's construction of commuting open-chain transfer matrices to the SU(2|2) bulk and boundary S-matrices of AdS/CFT. Using the graded version of the S-matrices leads to a transfer matrix of particularly simple form. We also find an SU(1|1) boundary S-matrix which has one free boundary parameter.
7 citations
TL;DR: In this article, the Zamolodchikov-Faddeev algebra was extended to the case of open strings attached to maximal giant gravitons, which was recently considered by Hofman and Maldacena.
Abstract: We extend the Zamolodchikov-Faddeev algebra for the superstring sigma model on $AdS_{5}\times S^{5}$, which was formulated by Arutyunov, Frolov and Zamaklar, to the case of open strings attached to maximal giant gravitons, which was recently considered by Hofman and Maldacena. We obtain boundary $S$-matrices which satisfy the standard boundary Yang-Baxter equation.
6 citations
TL;DR: In this paper, a set of nonlinear integral equations (NLIEs) for this model was derived, and the scattering matrix of the various (in particular, magnon) excitations was computed.
TL;DR: In this paper, an inversion identity for the open AdS/CFT SU(1|1) quantum spin chain was proved and the eigenvalues of the transfer matrix and corresponding Bethe ansatz equations were determined.
Abstract: We prove an inversion identity for the open AdS/CFT SU(1|1) quantum spin chain which is exact for finite size. We use this identity, together with an analytic ansatz, to determine the eigenvalues of the transfer matrix and the corresponding Bethe ansatz equations. We also solve the closed chain by algebraic Bethe ansatz.