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弦性规范结构

Stringy Gauge Structures

Gerardo Aldazabal, Eduardo Andrés, Lucía M. Cabrera, Martín Mayo

arXiv 2609.16455首次发表:更新:

发表机构

G. Física CAB-CNEA, Centro Atómico Bariloche; Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET); Instituto Balseiro, Universidad Nacional de Cuyo (UNCUYO)(CAB-CNEA 物理组,巴里洛切原子中心; 国家科学研究委员会; 巴尔塞罗研究所,门多萨国立大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文在杂弦紧致化框架下,基于三点相互作用和对偶性构建场论作用量,提出场变换以编码非阿贝尔规范对称性,并关联规范DFT,涵盖至多单振子激发的态表示。

AI 中文摘要

在杂弦环面紧致化框架中,模空间特定点会出现弦性规范对称性增强-破缺效应。此前,我们已从三点相互作用和对偶对称性出发,构建了一个能够纳入该效应的场论作用量。通过加倍周期坐标和非对易乘积,该作用量以背景无关的形式编码了非阿贝尔结构。进行广义模式展开后,模空间依赖性变得显式。本文进一步阐述这一构建。特别地,我们为保留扇区提出场变换,这些变换构成了作用量潜在对称性的基础,并且在模空间增强点进行模式展开时,包含通常的非阿贝尔规范变换。我们还检验了相应标量导数结构的协变性。尽管该提议必须被视为当前未知的完整场论描述的一个截断版本,它已经编码了包含至多一个振子激发的无质量态和有质量态的表示。最后,我们通过将此处考虑的广义卡鲁扎-克莱因模式与额外的广义标架方向相关联,将该构建与具有扩展切空间的规范DFT联系起来。在增强点处,它们的括号再现增强规范代数;远离增强点时,通过旋转嘉当基恢复相同的代数结构。

英文摘要

A field theory action, able to incorporate stringy gauge symmetry enhancement-breaking effects, which occur at particular points of moduli space in a heterotic string toroidal compactification framework, was previously constructed from three-point interactions and duality symmetries. Via doubled periodic coordinates and a non-commutative product, it encodes the non-Abelian structure in a background-independent form. Moduli-space dependence becomes manifest upon performing a generalized mode expansion. Here we further elaborate on this construction. In particular, we propose field transformations for the retained sectors that make up the foundations of a potential symmetry of the action and that, when mode expanded at enhancement points in moduli space, contain the usual non-Abelian gauge transformations. We also examine the covariance of the corresponding scalar derivative structures. Although the proposal must be regarded as a truncated version of a full, presently unknown field-theory description, it already encodes representations of massless and massive states containing up to one oscillator excitation. Finally, we relate the construction to gauged DFT with an extended tangent space by associating generalized Kaluza-Klein modes considered here with additional generalized-frame directions. At enhancement, their brackets reproduce the enhanced gauge algebra; away from enhancement, the same algebraic structure is recovered by rotating the Cartan basis.

Commentsv2: minor improvements in references

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