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arXiv 2001.02363hep-thmath-phmath.MP
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$\mathcal{N} = 3$中的散射振幅超对称$SU(N)$大PDMATHAAC下的Chern-Simons物质理论

Scattering Amplitudes in $\mathcal{N} = 3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$

Karthik Inbasekar, Lavneet Janagal, Ashish Shukla

备注：
v2: Minor changes
发表信息：
JHEP04(2020)101
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摘要：

我们研究$\mathcal{N} = 3$超对称陈-西蒙斯物质理论耦合到$SU(N)$的基本表示的物质。在t Hooft大$N$极限下，我们计算了t Hooft耦合$λ$中各阶基本标量超场的精确$2 \to 2$散射振幅.我们的计算是在$\mathcal{N} = 1$超空间中进行的，并充分利用了剩余的$SO(2)_R$对称性来求解标量超场的精确四点相关。通过取壳层上极限，我们能够精确地求出玻色子/费米子在对称、反对称和伴随散射通道中的$2 \to 2$散射振幅。我们发现，在平面极限下，$\mathcal{N} = 3$理论的散射振幅对t Hooft耦合$λ$中的所有阶都是树级精确的.该结果与推测的玻色子化对偶性一致，并且预计具有增强的对称结构，例如对偶超共形对称性和杨吉安对称性。

英文摘要：

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.

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