Aharony–Bergman–Jafferis–Maldacena理论中的三点函数与可积边界态

Aharony-Bergman-Jafferis-Maldacena 理论在圆上的研究

The Aharony-Bergman-Jafferis-Maldacena theory on a circle

本文利用三维对称性对 ABJM 理论在一维天球上的四点关联函数进行 bootstrap，发现对偶反演性质可替代交叉对称条件，并从多共线极限提取 OPE 谱，方法具有普适性。

All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron

We define a new geometry obtained from the all-loop amplituhedron in ${\cal N}=4$ SYM by reducing its four-dimensional external and loop momenta to three dimensions. Focusing on the simplest four-point case, we provide strong evidence that the canonical form of this ``reduced amplituhedron" gives the all-loop integrand of the ABJM four-point amplitude. In addition to various all-loop cuts manifested by the geometry, we present explicitly new results for the integrand up to five loops, which are much simpler than results in ${\cal N}=4$ SYM. One of the reasons for such all-loop simplifications …

Superconformal Indices for ${\cal N}=6$ Chern Simons Theories

Aharony, Bergman, Jafferis and Maldacena have recently proposed a dual gravitational description for a family of superconformal Chern Simons theories in three spacetime dimensions. In this note we perform the one loop computation that determines the field theory superconformal index of this theory and compare with the index computed over the Fock space of dual supersymmetric gravitons. In the appropriate limit (large $N$ and large $k$) we find a perfect match.

BMN矩阵量子力学的维滕指标

Witten index of BMN matrix quantum mechanics

研究计算BMN矩阵量子力学的维滕指标，该指标可算基态及不同BPS态数量差，为熵设下限且呈$N^2$增长，为M理论中BPS黑洞存在提供证据，还探讨了其与ABJM理论超共形指标在无限$N$极限下的关系。

ABJM旋链中chiral可积边态的构造：基于反射方程

Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations

本文基于反射方程和融合程序，构建ABJM旋链中2n-site chiral可积矩阵积态，并推导四site chiral可积态与Bethe态的精确重叠公式，同时数值研究chiral可积子空间。

M2-brane Perspective on N=6 Super Chern-Simons Theory at Level k

Recently, O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena (ABJM) proposed three-dimensional super Chern-Simons-matter theory, which at level k is supposed to describe the low energy limit of N M2-branes. For large N and k, but fixed 't Hooft coupling λ=N/k, it is dual to type IIA string theory on AdS_4 x CP^3. For large N but finite k, it is dual to M theory on AdS_4 x S^7/Z_k. In this paper, relying on the second duality, we find exact giant magnon and single spike solutions of membrane configurations on AdS_4 x S^7/Z_k by reducing the system to the Neumann-Rosochatius integrable mode…