论文标题
$ t \ Overline {T} $超对称量子力学的变形
$T \overline{T}$ Deformations of Supersymmetric Quantum Mechanics
论文作者
论文摘要
We define a manifestly supersymmetric version of the $T \overline{T}$ deformation appropriate for a class of $(0+1)$-dimensional theories with $\mathcal{N} = 1$ or $\mathcal{N} = 2$ supersymmetry, including one presentation of the super-Schwarzian theory which is dual to JT supergravity.这些变形是根据与超空间翻译相关的noether电流编写的，因此我们将它们共同称为$ f（\ nathcal {q}）$变形。 We provide evidence that the $f(\mathcal{Q})$ deformations of $\mathcal{N} = 1$ and $\mathcal{N} = 2$ theories are on-shell equivalent to the dimensionally reduced supercurrent-squared deformations of $2d$ theories with $\mathcal{N} = (0,1)$ and $\mathcal{N} = （1,1）$超对称性。在$ \ Mathcal {n} = 1 $案例中，我们提出了$ f（\ Mathcal {q}）$变形的两种形式，这些形式驱动相同的流量，并通过研究非s仪中的类似的等效变形来阐明它们的等效性。
We define a manifestly supersymmetric version of the $T \overline{T}$ deformation appropriate for a class of $(0+1)$-dimensional theories with $\mathcal{N} = 1$ or $\mathcal{N} = 2$ supersymmetry, including one presentation of the super-Schwarzian theory which is dual to JT supergravity. These deformations are written in terms of Noether currents associated with translations in superspace, so we refer to them collectively as $f(\mathcal{Q})$ deformations. We provide evidence that the $f(\mathcal{Q})$ deformations of $\mathcal{N} = 1$ and $\mathcal{N} = 2$ theories are on-shell equivalent to the dimensionally reduced supercurrent-squared deformations of $2d$ theories with $\mathcal{N} = (0,1)$ and $\mathcal{N} = (1,1)$ supersymmetry, respectively. In the $\mathcal{N} = 1$ case, we present two forms of the $f(\mathcal{Q})$ deformation which drive the same flow, and clarify their equivalence by studying the analogous equivalent deformations in the non-supersymmetric setting.
