Supersymmetric Origin of Four-Dimensional Space-time in the IIB Matrix Model
摘要
我们通过要求 closure of transformations and satisfaction of Ward identities at leading order of order expansion 来约束 IIB matrix model (IKKT model)。在 systematized methodology 下，我们评估最一般形式的 effective action 和 supersymmetry transformations，确保与 SU(N) algebra 一致。在十维空间中，我们证明这些 supersymmetric requirements 导致 non-renormalization theorem，强制所有 coefficient functions 为 constant。此结果源于 closure condition 中出现的 5-form tensor，无法被 SU(N) algebra吸收。此残余项严格禁止 leading order 非平凡 fluctuations。虽然类似的 non-renormalization theorem 在四维中也成立，但我们演示 four-dimensional Clifford algebra 提供 unique exit 通过 Hodge duality 实现。这种 duality 在几何上将异常 high-rank tensor structures 映射为可吸收的 lower-rank forms，允许出现在十维中被禁止的 non-trivial dynamical backgrounds。我们发现，此类 non-trivial solutions 限制在 (anti-)self-dual configurations，through reality conditions， necessitate Euclidean metric。我们的结果表明，四维 Euclidean space-time 是该理论在 leading order 保持 supersymmetry 的情况下容纳 non-trivial backgrounds 的 prerequisite。
引用
@article{arxiv.2605.03611,
title = {Supersymmetric Origin of Four-Dimensional Space-time in the IIB Matrix Model},
author = {Tetsuyuki Muramatsu},
journal= {arXiv preprint arXiv:2605.03611},
year = {2026}
}
备注
The views expressed are the author's own and do not necessarily reflect the official policy of the affiliated organization. This work is independent of official duties. v2: 10 pages. Sections 4 and 5 revised to clarify dimensional reduction and algebraic constraints. Physical interpretation refined in Section 6. Typos corrected