Maximally Twisted Eleven-Dimensional Supergravity

Maximally Twisted Eleven-Dimensional Supergravity
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最大扭曲十一维超重力

DOI:
10.1007/s00220-022-04516-5
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发表时间:
2021
影响因子:
2.4
通讯作者:
F. Hahner
F. Hahner
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Richard Eager;F. Hahner

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我们表演了11维超引力的最大扭曲。这种扭曲是部分拓扑的,并且存在于G2 × SU(2)G2 × SU(2)完整流形上.我们的推导开始于一个明确的描述Batalin-Vilkovisky复杂的三种形式的多重态在纯旋量超场形式主义。然后我们确定了超对称代数在分量域上的L_\infty L ∞模结构。我们通过修改Batalin-Vilkovisky复合物的微分来扭曲理论,以纳入标量超荷的作用。我们发现,由此产生的自由扭曲理论是由德拉姆和Dolbeault复形的张量积的相应$$G_2 $$G2和SU(2)holonomy流形的Costello所示。
We perform the maximal twist of eleven-dimensional supergravity. This twist is partially topological and exists on manifolds of $$G_2 \times SU(2)$$ G 2 × S U ( 2 ) holonomy. Our derivation starts with an explicit description of the Batalin–Vilkovisky complex associated to the three-form multiplet in the pure spinor superfield formalism. We then determine the $$L_\infty $$ L ∞ module structure of the supersymmetry algebra on the component fields. We twist the theory by modifying the differential of the Batalin–Vilkovisky complex to incorporate the action of a scalar supercharge. We find that the resulting free twisted theory is given by the tensor product of the de Rham and Dolbeault complexes of the respective $$G_2$$ G 2 and SU (2) holonomy manifolds as conjectured by Costello.
DOI: 10.1007/s00029-022-00786-y
发表时间: 2020-02
期刊: Selecta Mathematica
影响因子: --
作者:
C. Elliott;P. Safronov;B. Williams
通讯作者: C. Elliott;P. Safronov;B. Williams
具有四个离壳超对称性的十一维超引力的组成部分
DOI: 10.1007/jhep07(2021)032
发表时间: 2021
影响因子: 5.4
作者:
Becker, Katrin;Butter, Daniel;Linch, William D.;Sengupta, Anindya
通讯作者: Sengupta, Anindya
DOI: 10.1007/s00023-022-01224-7
发表时间: 2022
期刊: Annales Henri Poincaré
影响因子: --
作者:
Saberi, Ingmar;Williams, Brian R.
通讯作者: Williams, Brian R.