The Bethe ansatz equations for reflecting magnons

Galleas, W.

doi:10.1016/j.nuclphysb.2009.04.024

Cited by 23 publications

(36 citation statements)

References 77 publications

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“…Our ansatz of the eigenvalues of the transfer matrices passed through some consistency checks and should be compared with the all-loop asymptotic Bethe ansatz equations which need to be proposed. Such all-loop Bethe ansatz equations for N = 4 SYM were obtained in [22]. We have shown in [1] and this paper that determinant like operators provide integrable boundary conditions for the open spin chain in ABJM theory at least at planar two-loop level.…”

Section: Resultsmentioning

confidence: 60%

Two-loop integrability of ABJM open spin chain from giant graviton

Bai

Chen

Ouyang

et al. 2019

J. High Energ. Phys.

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We prove the integrability of the two-loop open spin chain Hamiltonian from ABJM determinant like operators given in [1]. By explicitly constructing R-matrices and K-matrices, we successfully obtain the two-loop Hamiltonian from the double row transfer matrices. This proves the integrability of our two-loop Hamiltonian. Based on the vacuum eigenvalues of the transfer matrices, we make a conjecture on the eigenvalues of the transfer matrices for general excited states. Bethe ansatz equations are simply obtained from the analytic conditions at the superficial poles of the eigenvalues.

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Section: Resultsmentioning

confidence: 60%

Two-loop integrability of ABJM open spin chain from giant graviton

Bai

Chen

Ouyang

et al. 2019

J. High Energ. Phys.

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“…Multiparticle states of the open string correspond to so-called determinant-like operators in the dual gauge theory. The Y − Y system, consisting of Y = 0 branes [10] at both ends of the string, was studied in [11,12,13]. The integrability of this model was exploited in [12,13] to compute wrapping corrections of one-particle states.…”

Section: Introductionmentioning

confidence: 99%

Wrapping corrections for non-diagonal boundaries in AdS/CFT

Bajnok

Nepomechie

2016

J. High Energ. Phys.

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Abstract:We consider an open string stretched between a Y = 0 brane and a Y θ = 0 brane. The latter brane is rotated with respect to the former by an angle θ, and is described by a non-diagonal boundary S-matrix. This system interpolates smoothly between the Y − Y (θ = 0) and the Y −Ȳ (θ = π/2) systems, which are described by diagonal boundary S-matrices. We use integrability to compute the energies of one-particle states at weak coupling up to leading wrapping order (4, 6 loops) as a function of the angle. The results for the diagonal cases exactly match with those obtained previously.

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“…The detailed results depend on the specific boundary conditions at the two ends of the interval. Among the integrable cases that have been studied are Y = 0 branes [11,12] at both ends [13,14,15]; and Y = 0 at one end and Y = 0 at the other end [16]. (For a review of integrable boundary conditions in AdS/CFT, see [17].…”

Section: Introductionmentioning

confidence: 99%