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arXiv 2401.00549hep-th
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含标量场的民主作用量:对称 sigma 模型、超引力作用量与 IIB 型超弦有效理论

Democratic actions with scalar fields: symmetric sigma models, supergravity actions and the effective theory of the type IIB superstring

Jose Juan Fernandez-Melgarejo, Giacomo Giorgi, Carmen Gomez-Fayren, Tomas Ortin, Matteo Zatti

AI总结:

本文研究标量场对偶化为高阶形式势时保持全局对称性的民主赝作用量构造问题,从对称 sigma 模型出发推广到任意维度非最小耦合理论,并给出 4 维无规范超引力和 IIB 型超弦有效理论的民主作用量。

摘要:

将理论中的标量场对偶化为 (d-2)-形式势并保持所有全局对称性,是构造同时包含所有原始场及其对偶的民主赝作用量的主要问题之一。我们从最简单的情形出发研究该问题,并展示如何对参数化黎曼对称 sigma 模型的标量解决这一问题,例如极大和半极大超引力中的情形。随后,我们利用这一结果,为任意维度中标量与非最小耦合的 (p+1)-形式势耦合的理论写出民主赝作用量。这些结果包括对 4 维极大和半极大无规范超引力的通用玻色子扇区提出民主赝作用量。此外,我们为 N=2B,d=10 超引力(即 IIB 型超弦理论的有效作用量)的玻色子扇区提出了一个民主赝作用量,其中包含两个 0-形式、两个 2-形式、一个 4-形式、两个 6-形式和三个 8-形式,并且该作用量在全局 SL(2,R) 变换下具有明显不变性。

英文摘要:

The dualization of the scalar fields of a theory into (d-2)-form potentials preserving all the global symmetries is one of the main problems in the construction of democratic pseudoactions containing simultaneously all the original fields and their duals. We study this problem starting with the simplest cases and we show how it can be solved for scalars parametrizing Riemannian symmetric sigma-models as in maximal and half-maximal supergravities. Then, we use this result to write democratic pseudoactions for theories in which the scalars are non-minimally coupled to (p+1)-form potentials in any dimension. These results include a proposal of democratic pseudoaction for the generic bosonic sector of 4-dimensional maximal and half-maximal ungauged supergravities. Furthermore, we propose a democratic pseudoaction for the bosonic sector of N=2B,d=10 supergravity (the effective action of the type IIB superstring theory) containing two 0-, two 2-, one 4-, two 6- and three 8-forms which is manifestly invariant under global SL(2,R) transformations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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