论文标题
$ t \ overline {t} $ scfts中的变形和可集成的超对称理论
$T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
论文作者
论文摘要
We calculate the $\mathcal{S}$-multiplets for two-dimensional Euclidean $\mathcal{N}=(0,2)$ and $\mathcal{N} = (2,2)$ superconformal field theories under the $T\overline{T}$ deformation at leading order of perturbation theory in the deformation coupling.然后，从这些$ \ MATHCAL {n} =（0，2）$变形的多重点，我们计算两点和三点相关器。我们显示$ \ MATHCAL {n} =（0,2）$手性环的元素在$ t \ overline {t} $变形下不流动。专门针对可综合的超对称种子理论，例如$ \ Mathcal {n} =（2,2）$ landau-Ginzburg模型，我们使用热力学的bethe ansatz来研究S-膜和基态能量。从S-Matrix的角度和Melzer的折叠处方，我们表明基态能量遵守了Inviscid Burgers的方程式。最后，我们证明了几个索引独立于$ d $ term扰动，包括Witten Index，Cecotti-Fendley-Intrigator-intrigator-vafa索引和椭圆属，不在$ t \ the edline {t} $变形下流动。
We calculate the $\mathcal{S}$-multiplets for two-dimensional Euclidean $\mathcal{N}=(0,2)$ and $\mathcal{N} = (2,2)$ superconformal field theories under the $T\overline{T}$ deformation at leading order of perturbation theory in the deformation coupling. Then, from these $\mathcal{N} = (0, 2)$ deformed multiplets, we calculate two- and three-point correlators. We show the $\mathcal{N} = (0,2)$ chiral ring's elements do not flow under the $T\overline{T}$ deformation. Specializing to integrable supersymmetric seed theories, such as $\mathcal{N} = (2,2)$ Landau-Ginzburg models, we use the thermodynamic Bethe ansatz to study the S-matrices and ground state energies. From both an S-matrix perspective and Melzer's folding prescription, we show that the deformed ground state energy obeys the inviscid Burgers' equation. Finally, we show that several indices independent of $D$-term perturbations including the Witten index, Cecotti-Fendley-Intriligator-Vafa index and elliptic genus do not flow under the $T\overline{T}$ deformation.
