Order $\alpha^\prime$**2 Equivalence of the String Equations of Motion and the $\sigma$ Model Weyl Invariance Conditions: Dependence on the Dilaton Field

Bento, M.C.; Bertolami, O.; Henriques, A.B.; Romao, J.C.

doi:10.1016/0370-2693(89)90022-1

Order $\alpha^\prime$ **2 Equivalence of the String Equations of Motion and the $\sigma$ Model Weyl Invariance Conditions: Dependence on the Dilaton Field

Jan 30, 1989

8 pages

Published in:

Phys.Lett.B 220 (1989) 113-120

Published: 1989

DOI:

10.1016/0370-2693(89)90022-1

Report number:

IFM-26/88

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Abstract: (Elsevier)

We determine the order α′ 2 terms in the closed string effective actions, when the dilaton field is included, by comparison with the four-point string amplitudes, both in the S -matrix parametrization and in the σ-model parametrization. We find that for the bosonic and heterotic string theories there are terms involving derivatives of the dilaton field which cannot be removed by field redefinitions and whose coefficients are non-zero. Our result is not in agreement with existing σ-model computations.

MODEL: STRING
string model: boson
SUPERSYMMETRY
FIELD THEORY: EFFECTIVE ACTION
PERTURBATION THEORY: HIGHER-ORDER
SCATTERING AMPLITUDE
FIELD THEORETICAL MODEL: SIGMA
FIELD EQUATIONS
FIELD THEORY: DILATON
INVARIANCE: WEYL

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Order α′\alpha^\primeα′**2 Equivalence of the String Equations of Motion and the σ\sigmaσ Model Weyl Invariance Conditions: Dependence on the Dilaton Field

Citations per year

Order $\alpha^\prime$ **2 Equivalence of the String Equations of Motion and the $\sigma$ Model Weyl Invariance Conditions: Dependence on the Dilaton Field