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Related papers: Open Spin Chains from Determinant Like Operators i…

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In our previous work, the two-loop integrability of ABJM determinant like operator has been well established. In this paper, we push the integrability to all loop orders. The asymptotic Bethe ansatz equations for ABJM determinant like…

High Energy Physics - Theory · Physics 2019-08-28 Hui-Huang Chen

The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied within the paradigm of open quantum spin…

High Energy Physics - Theory · Physics 2009-11-11 Abhishek Agarwal

We study open strings on giant gravitons (D-branes on cycles) in the ABJM/$AdS_4\times \mathbb{CP}^3$ correspondence. We find that their energy spectrum has the same form as the one for closed strings, with a nontrivial function of the…

High Energy Physics - Theory · Physics 2015-02-04 Carlos Cardona , Horatiu Nastase

We investigate the integrable structures in an N=2 superconfomal Sp(N) Yang-Mills theory with matter, which is dual to an open+closed string system. We restrict ourselves to the BMN operators that correspond to free string states. In the…

High Energy Physics - Theory · Physics 2009-11-10 Bin Chen , Xiao-Jun Wang , Yong-Shi Wu

We propose a perturbative asymptotic Bethe ansatz (PABA) for open spin-chain systems whose Hamiltonians are given by matrices of anomalous dimension for composite operators, and apply it to two types of composite operators related to two…

High Energy Physics - Theory · Physics 2009-11-11 Keisuke Okamura , Kentaroh Yoshida

We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. The anomalous dimensions computed in the gauge theory are in complete quantitative agreement with…

High Energy Physics - Theory · Physics 2016-04-20 Robert de Mello Koch , Nirina Hasina Tahiridimbisoa , Christopher Mathwin

We prove the integrability of the two-loop open spin chain Hamiltonian from ABJM determinant like operators given in arXiv:1809.09941. By explicitly constructing R-matrices and K-matrices, we successfully obtain the two-loop Hamiltonian…

High Energy Physics - Theory · Physics 2019-04-02 Nan Bai , Hui-Huang Chen , Hao Ouyang , Jun-Bao Wu

We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su$(2|3)$ sector of ${\cal N}=4$ super Yang-Mills theory, have a bare dimension $\sim N$ and are a linear…

High Energy Physics - Theory · Physics 2020-12-02 Robert de Mello Koch , Jia-Hui Huang , Minkyoo Kim , Hendrik J. R. Van Zyl

We demonstrate that the one-loop anomalous dimension matrix in N = 2 SYM with a single chiral hypermultiplet of fundamental matter, which is dual to AdS_5 X S^5 with a D7-brane filling AdS_5 and wrapped around an $^3 in the S^5, is an…

High Energy Physics - Theory · Physics 2009-11-11 Theodore G. Erler , Nelia Mann

We study the anomalous dimensions of operators in the scalar sector of \beta-deformed ABJ(M) theories. We show that the anomalous dimension matrix at two-loop order gives an integrable Hamiltonian acting on an alternating SU(4) spin chain…

High Energy Physics - Theory · Physics 2021-01-29 Song He , Jun-Bao Wu

We study open spin chains for strings stretched between giant graviton states in the N=4 SYM field theory in the collective coordinate approach. We study the boundary conditions and the effective Hamiltonian of the corresponding spin chain…

High Energy Physics - Theory · Physics 2015-06-15 David Berenstein , Eric Dzienkowski

In 2005, Berenstein and Vazquez determined an open spin chain Hamiltonian describing the one-loop anomalous dimensions of determinant-like operators corresponding to open strings attached to Y=0 maximal giant gravitons. We construct the…

High Energy Physics - Theory · Physics 2015-05-30 Rafael I. Nepomechie

We study the anomalous dimensions for scalar operators in ABJM theory in the SU(2) sector. The operators we consider have a classical dimension that grows as N in the large N limit. Consequently, the large N limit is not captured by summing…

High Energy Physics - Theory · Physics 2014-12-24 Robert de Mello Koch , Rocky Kreyfelt , Stephanie Smith

We investigate the integrability of the boundary state arising from the subdeterminant operators in the alternating SU(4) spin chain in ABJM theory. Our findings show that the resulting matrix product states are only integrable for two…

High Energy Physics - Theory · Physics 2024-04-03 Peihe Yang

We compute the two-loop anomalous dimension matrix in the scalar sector of planar ${\cal N}=3$ flavored ABJM theory. Using coordinate Bethe ansatz, we obtain the reflection matrix and confirm that the boundary Yang-Baxter equations are…

High Energy Physics - Theory · Physics 2021-10-12 Nan Bai , Hui-Huang Chen , Song He , Jun-Bao Wu , Wen-Li Yang , Meng-Qi Zhu

We study the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on giant gravitons. We consider both AdS and sphere giants as well as boundstates of them. The open…

High Energy Physics - Theory · Physics 2009-01-30 Robert de Mello Koch , Jelena Smolic , Milena Smolic

In this short note we begin the analysis of deformed integrable Chern-Simons theories. We construct the two loop dilatation operator for the scalar sector of the ABJM theory with $k1 \neq -k2$ and we compute the anomalous dimension of some…

High Energy Physics - Theory · Physics 2015-05-13 Davide Forcella , Waldemar Schulgin

We prove that in the presence of a maximal giant graviton state in N=4 SYM, the states dual to open strings attached to the giant graviton give rise to an PSU(2,2|4) open spin chain model with integrable boundary conditions in the SO(6)…

High Energy Physics - Theory · Physics 2009-11-11 David Berenstein , Samuel E. Vazquez

We develop techniques to compute the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on boundstates of sphere giant gravitons. Our results, which are applicable to…

High Energy Physics - Theory · Physics 2009-05-20 David Bekker , Robert de Mello Koch , Michael Stephanou

We demonstrate that the one-loop dilatation generator for the scalar sector of a certain perturbation of N=4 Super Yang-Mills with fundamentals is the Hamiltonian of an integrable spin chain with open boundary conditions. The theory is a…

High Energy Physics - Theory · Physics 2009-11-10 Oliver DeWolfe , Nelia Mann
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