论文标题
$ \ Mathcal {n} = 3 $ supersymmetric $ su（n）$ chern-simons-matter理论的散射幅度{n} = 3 $
Scattering Amplitudes in $\mathcal{N} = 3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
论文作者
论文摘要
我们研究$ \ Mathcal {n} = 3 $超对称Chern-Simons-Matter理论，与$ SU（N）$的基本表示相结合。在't Hooft大$ n $限制中，我们计算了基本标量超级场的确切$ 2 \ 2 $散射幅度，以汇总$λ$的所有订单。我们的计算以$ \ Mathcal {n} = 1 $ superspace表示，并大量使用剩余$ so（2）_r $对称性，以求解标量超级领域的确切四点相关器。通过采用壳上极限，我们能够在对称，反对称和隔离通道中提取确切的$ 2 \ 2 $散射振幅。我们发现，在平面限制中，$ \ MATHCAL {N} = 3 $理论的散射幅度与't Hooft耦合$λ$中的所有订单相确切。结果与猜想的双重性二元性一致，并有望具有增强的对称结构，例如双重超符号对称性和扬吉对称性。
We study $\mathcal{N} = 3$ supersymmetric Chern-Simons-matter theory coupled to matter in the fundamental representation of $SU(N)$. In the 't Hooft large $N$ limit, we compute the exact $2 \to 2$ scattering amplitudes of the fundamental scalar superfields to all orders in the 't Hooft coupling $λ$. Our computations are presented in $\mathcal{N} = 1$ superspace and make significant use of the residual $SO(2)_R$ symmetry in order to solve for the exact four-point correlator of the scalar superfields. By taking the on-shell limit, we are able to extract the exact $2 \to 2$ scattering amplitudes of bosons/fermions in the symmetric, anti-symmetric and adjoint channels of scattering. We find that the scattering amplitude of the $\mathcal{N} = 3$ theory in the planar limit is tree-level exact to all orders in the 't Hooft coupling $λ$. The result is consistent with the conjectured bosonization duality and is expected to have enhanced symmetry structures such as dual superconformal symmetry and Yangian symmetry.
