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  • 1. Bai, Nan
    et al.
    Chen, Hui-Huang
    Ouyang, Hao
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Wu, Jun-Bao
    Two-loop integrability of ABJM open spin chain from giant graviton2019In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, article id 193Article in journal (Refereed)
    Abstract [en]

    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.

  • 2. Chen, Hui-Huang
    et al.
    Ouyang, Hao
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Wu, Jun-Bao
    Open spin chains from determinant like operators in ABJM theory2018In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 98, no 10, article id 106012Article in journal (Refereed)
    Abstract [en]

    We study the mixing problem of the determinantlike operators in ABJM theory to two-loop order in the scalar sector. The gravity duals of these operators are open strings attached to the maximal giant graviton, which is a D4-brane wrapping a CP2 inside CP3 in our case. The anomalous dimension matrix of these operators can be regarded as an open spin chain Hamiltonian. We provide strong evidence of its integrability based on coordinate Bethe ansatz method and boundary Yang-Baxter equations.

  • 3.
    Ouyang, Hao
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Holographic four-point functions in Toda field theories in AdS(2)2019In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 4, article id 159Article in journal (Refereed)
    Abstract [en]

    We consider Toda field theories in a classical Euclidean AdS(2) background. We compute the four-point functions of boundary operators in the a(1), a(2) and b(2) Toda field theories. They take the same form as the four-point functions of generators in the corresponding W-algebras. Therefore we conjecture that the boundary operators are in one-to-one correspondence with the generators in the W-algebras.

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