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The All-Genus String Effective Action
High Energy Physics - Theory · Submitted 29 Nov 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This proves again the non-renormalization theorem for a string moving in massless background fields in the low-energy approximation.
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The abstract, sentence by sentence
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 in massless background fields in the low-energy approximation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We use the off-shell string effective action method developed by E.S. Fradkin and A.A. | method 0.98 | 0.62 | 0.02 | asserted 0.75 |
| s1 | 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. | contribution 0.59 | 0.91 | 0.16 | asserted 1.00 |
| s2 | 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. | result 1.00 | 0.94 | 0.25 | asserted 0.83 |
| s3 | 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. | result 0.95 | 0.91 | 0.12 | asserted 0.96 |
| s4 | We also show that under this constraint, the tree-level k\"ahlar potential and superpotential are not changed by the higher-genus effect. | result 0.99 | 0.93 | 0.22 | asserted 1.00 |
| s5 | This proves again the non-renormalization theorem for a string moving in massless background fields in the low-energy approximation. | interpretation 0.90 | 0.81 | 0.41 | asserted 1.00 |
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The paper
Original 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 in massless background fields in the low-energy approximation.
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