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Maximally N $$ mathcal{N} $$ -extended super-BMS 3 algebras and generalized 3D gravity solutions

机译:最大值 n $$ mathcal {n} $$ -Extended Super-BMS <下标> 3 代数和 广义三维重力解决方案

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A bstract We consider the maximal N $$ mathcal{N} $$ -extended supergravity theory in 3 dimensions with fermionic generators transforming under real but non necessarily irreducible representations of the internal algebra. We obtain the symmetry algebra at null infinity preserving boundary conditions of asymptotically flat solutions, i.e. the maximal N $$ mathcal{N} $$ -extended super-BMS~(3)algebra, which possesses non-linear correction in the anti-commutators of supercharges. We present the supersymmetric energy bound and derive the explicit form of the asymptotic Killing spinors. We also find the most generic circular symmetric ground state of the theory, which corresponds to a non-supersymmetric cosmological solutions and derive their entropy.
机译:Bstract我们认为最大N $$ Mathcal {N} $$ - 在3个维度中,使用内部代数的真实但不一定不可简化表示变换的Fermionic发电机。 我们在渐近扁平解决方案的Null Infinity保存边界条件下获得对称代数,即最大N $$ Mathcal {N} $$ - 延长的Super-BMS〜(3)代数,其在抗辩中具有非线性校正 增压换向器。 我们介绍了超对称能量结合并导出了渐近杀灭旋转丝的明确形式。 我们还发现理论最通用的圆形对称地位,这对应于非超对对称的宇宙学解决方案并导出其熵。

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