The All-Genus String Effective Action
Rulin Xiu

TL;DR
This paper derives a comprehensive all-genus string effective action in low-energy massless backgrounds, revealing how dilaton vacuum expectation values are determined and confirming non-renormalization properties in certain compactified models.
Contribution
It provides a formula for the all-genus string effective action with implications for dilaton determination and non-renormalization in compactified models.
Findings
Dilaton vacuum expectation value can be determined from the all-genus effective action.
In Kähler compactifications, the target-space dilaton is constrained by background fields.
Tree-level Kähler potential and superpotential remain unchanged by higher-genus effects.
Abstract
We use the off-shell string effective action method developed by E.S. Fradkin and A.A. Tseytlin to obtain the formula for all-genus string effective action with and without compactification at the low-energy approximation in the massless background fields. We find that for the bosonic string, one can determine the dilaton vacuum expectation value from the all-genus effective action because of the nontrivial dependence of potential energy on dilaton. For compactified four-dimensional string models, if one requires that the target-space dilaton field lie on a K\"ahler manifold, we obtain a constraint which will specify the worldsheet dilaton in terms of the constant background fields. We also show that under this constraint, the tree-level k\"ahlar potential and superpotential are not changed by the higher-genus effect. This proves again the non-renormalization theorem for a string moving…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research
