1994/11/29 by Rulin Xiu, Xiu, Rulin
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9411222
11 pages
arxiv created 1994/11/29 · openalex publication_date 1994/11/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Kähler 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 kählar potential and superpotential are not changed by the higher-genus effect. This proves again the non-renormalization theorem for a string moving in massless background fields in the low-energy approximation.