arXiv 2103.134112021-03hep-th

一位例外场论大师

A master exceptional field theory

Guillaume Bossard, Axel Kleinschmidt, Ergin Sezgin

备注：: Minor corrections, accepted for publication in JHEP
DOI：: 10.1007/JHEP06(2021)185

摘要：

我们构造了一个伪拉格朗日量，它在刚性$E_{11}$下是不变的，并在$E_{11}$广义代数同态下变换为密度。规范不变性需要使用的一个部分的条件研究在以前的工作中$E_{11}$例外场论和列入约束领域的不可分解的$E_{11}$ -表示与$E_{11}$陪集字段一起转换。我们表明，结合规范不变和$E_{11}$不变的对偶方程，这个伪拉格朗日减少到玻色子部门的非线性十一维超引力的一个选择的解决方案的部分条件。对于另一种选择，我们重新获得$E_8$例外场论和猜想，我们的伪拉格朗日和对偶方程产生的所有例外场论在任何维度上的最大超对称性。我们还描述了如何理论需要更高的对偶场，包括在11维的对偶引力子的非线性方程。此外，我们推测的关系，$E_{10}$西格玛模型。

英文摘要：

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on $E_{11}$ exceptional field theory and the inclusion of constrained fields that transform in an indecomposable $E_{11}$-representation together with the $E_{11}$ coset fields. We show that, in combination with gauge-invariant and $E_{11}$-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condition. For another choice, we reobtain the $E_8$ exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the $E_{10}$ sigma model.

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英文摘要：

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