论文标题
卡洛利亚人和非权威主义的杰基 - 泰特尔博
Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
论文作者
论文摘要
我们基于扩展的牛顿 - 霍克（Newton-Hooke）和扩展的ADS Carroll Superalgebras，分别在两个时空维度上，我们将非忠实和超级忠实的Jackiw-Teitelboim（JT）超级重力作为公制BF理论。扩展的牛顿 - 霍克结构，尤其是BF构造非相关的JT超级重力所需的不变度度量，是通过执行$ \ Mathcal {n} = 2 $ ads $ _2 $ _2 $ superalgebra的扩展而获得的。随后，我们介绍了扩展的广告$ _2 $ carroll Superalgebra和相关的不变度量，以适当地重新定义牛顿 - 霍克超级巨头。所涉及的映射可以看作是在扩展的牛顿 - 霍克代数之间纯粹的骨值水平上存在的双重性的超对称扩展，该代数具有（正）负宇宙常数和两个维度的扩展（a）DS Carroll代数。最后，我们在BF形式主义中提供了Carrollian JT超级重力行动。此外，我们表明，也可以通过直接扩展$ \ Mathcal {n} = 2 $ jt Supergravity来获得呈现的非偏见和超忠实理论。
We present non- and ultra-relativistic Jackiw-Teitelboim (JT) supergravity as metric BF theories based on the extended Newton-Hooke and extended AdS Carroll superalgebras in two spacetime dimensions, respectively. The extended Newton-Hooke structure, and, in particular, the invariant metric necessary for the BF construction of non-relativistic JT supergravity, is obtained by performing an expansion of the $\mathcal{N}=2$ AdS$_2$ superalgebra. Subsequently, we introduce the extended AdS$_2$ Carroll superalgebra, and the associated invariant metric, as a suitable redefinition of the extended Newton-Hooke superalgebra. The mapping involved can be seen as the supersymmetric extension of the duality existing at the purely bosonic level between the extended Newton-Hooke algebra with (positive) negative cosmological constant and the extended (A)dS Carroll algebra in two dimensions. Finally, we provide the Carrollian JT supergravity action in the BF formalism. Moreover, we show that both the non-relativistic and the ultra-relativistic theories presented can also be obtained by direct expansion of $\mathcal{N}=2$ JT supergravity.
