Type IIA supergravity at one loop: $α'^3$ terms in the metric-dilaton-RR one-form sector
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915552343097344 |
|---|---|
| author | Garousi, Mohammad R. |
| author_facet | Garousi, Mohammad R. |
| contents | The circle compactification of M-theory is dual to type IIA string theory, requiring that the dimensional reduction of the M-theory couplings \((t_8 t_8 - \frac{1}{4} ε_8 ε_8) R^4\) must reproduce the type IIA one-loop effective action at order \(α'^3\), including contributions from the metric, dilaton, and RR one-form. Through compactification, we obtain 1,276 couplings involving Riemann, Ricci, and Ricci scalar tensors, along with first and second derivatives of the dilaton and RR one-form. By employing field redefinitions, we reduce these to a basis of 359 independent couplings. Crucially, we observe that the dilaton cannot be entirely removed from the couplings via field redefinitions, even in the pure metric-dilaton sector. We validate our results by showing exact agreement between all four-field couplings and the corresponding string-theory S-matrix elements in the string frame.
Further, upon compactifying on K3, we demonstrate that the resulting six-dimensional \(α'\) couplings at one-loop level transform under S-duality into the tree-level \(α'\) couplings of heterotic string theory on \(T^4\). This match necessitates carefully chosen field redefinitions for both the type IIA (on K3) and heterotic (on \(T^4\)) sectors, providing a stringent test of the duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10529 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Type IIA supergravity at one loop: $α'^3$ terms in the metric-dilaton-RR one-form sector Garousi, Mohammad R. High Energy Physics - Theory The circle compactification of M-theory is dual to type IIA string theory, requiring that the dimensional reduction of the M-theory couplings \((t_8 t_8 - \frac{1}{4} ε_8 ε_8) R^4\) must reproduce the type IIA one-loop effective action at order \(α'^3\), including contributions from the metric, dilaton, and RR one-form. Through compactification, we obtain 1,276 couplings involving Riemann, Ricci, and Ricci scalar tensors, along with first and second derivatives of the dilaton and RR one-form. By employing field redefinitions, we reduce these to a basis of 359 independent couplings. Crucially, we observe that the dilaton cannot be entirely removed from the couplings via field redefinitions, even in the pure metric-dilaton sector. We validate our results by showing exact agreement between all four-field couplings and the corresponding string-theory S-matrix elements in the string frame. Further, upon compactifying on K3, we demonstrate that the resulting six-dimensional \(α'\) couplings at one-loop level transform under S-duality into the tree-level \(α'\) couplings of heterotic string theory on \(T^4\). This match necessitates carefully chosen field redefinitions for both the type IIA (on K3) and heterotic (on \(T^4\)) sectors, providing a stringent test of the duality. |
| title | Type IIA supergravity at one loop: $α'^3$ terms in the metric-dilaton-RR one-form sector |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.10529 |