One-loop string corrections to the effective field theory

Ellis, John; Jetzer, Philippe; Mizrachi, Leah

doi:10.1016/0550-3213(88)90214-3

Cited by 56 publications

(84 citation statements)

References 38 publications

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“…We note that, comparing with the expression for one-loop quartic curvature terms [38,39,40] quoted by Abe et al [40], we have c = 1. However, the main result here is that, by the somewhat complicated procedure of integrating out the massive modes in the eleven-dimensional theory, we have succeeded in reproducing the full supersymmetric invariants of the ten-dimensional theory, up to parity-odd quartic terms.…”

Section: (I)mentioning

confidence: 99%

The ten-dimensional effective action of strongly coupled heterotic string theory

1999

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We derive the ten-dimensional effective action of the strongly coupled heterotic string as the low energy limit of M-theory on S 1 /Z 2 . In contrast to a conventional dimensional reduction, it is necessary to integrate out nontrivial heavy modes which arise from the sources located on the orbifold fixed hyperplanes. This procedure, characteristic of theories with dynamical boundaries, is illustrated by a simple example. Using this method, we determine a complete set of R 4 , F 2 R 2 , and F 4 terms and the corresponding Chern-Simons and Green-Schwarz terms in ten dimensions. As required by anomaly cancelation and supersymmetry, these terms are found to exactly coincide with their weakly coupled one-loop counterparts.

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Section: (I)mentioning

confidence: 99%

The ten-dimensional effective action of strongly coupled heterotic string theory

1999

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“…The bosonic parts of the tree-level contributions have been evaluated by Cai and Nunez [17] and Gross and Sloan [18] (three-and four-point amplitudes) while the bosonic one-loop terms were computed by Sakai and Tanii [19], Abe et al [20,21] and Ellis et al [22] (four-point amplitudes) and Lerche et al [23] (five-point amplitudes involving the Neveu-Schwarz tensor field). Ignoring normalisation factors, the result reads L heterotic (α ′ ) 3 = e −2φ H I BdR + I X − 1 8 I Z + I F R + I X .…”

Section: 2)mentioning

confidence: 99%

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Peeters

Vanhove

Westerberg³

2001

Class. Quantum Grav.

125

212

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Higher-derivative terms in the string and M-theory effective actions are strongly constrained by supersymmetry. Using a mixture of techniques, involving both stringamplitude calculations and an analysis of supersymmetry requirements, we determine the supersymmetric completion of the R 4 action in eleven dimensions to second order in the fermions, in a form compact enough for explicit further calculations. Using these results, we obtain the modifications to the field transformation rules and determine the resulting field-dependent modifications to the coefficients in the supersymmetry algebra. We then make the link to the superspace formulation of the theory and discuss the mechanism by which higher-derivative interactions lead to modifications to the supertorsion constraints. For the particular interactions under discussion we find that no such modifications are induced.

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“…Let us start with the R, R 2 , R 3 terms. Since the 3-graviton amplitude in the heterotic string theory does not receive string loop corrections [31,19,20,13,21] …”

Section: Duality and Effective Actionsmentioning

confidence: 99%

“…The one-loop terms in the effective action which are local and have explicitly computable coefficients are related to the special amplitudes on the torus which have 'nearly holomorphic' integrands [14] so that they receive contributions only from a boundary (Imτ → ∞) of the moduli space. They can be reconstructed from string scattering amplitudes [14,35,21,22] or computed directly [23] using the partition function representation for the string effective action [36]. The parity-odd 'anomaly-cancelling' terms in the heterotic string theory have the following structure [14] 6…”

Section: Duality and Effective Actionsmentioning

confidence: 99%

“…2 There are, indeed, examples of terms in the string effective actions which are either not renormalised by string higher-loop corrections (like second-derivative terms and 'anomalycancelling' terms, see, e.g., [12,13,14,15]) or receive contributions only from specific orders of string perturbative expansion (see [16,17]). In [18] we considered a term quartic in the gauge field strength trF 4 which, in heterotic string theory, is absent at the tree level [19,20] but appears at the one-loop level [21,22,23]. We have argued that it does not receive corrections from higher loops since D = 10 supersymmetry relates [24,25] it to the 'anomaly-cancelling' term BtrF 4 [26] which is not renormalised at higher orders [27,15] (see also below).…”

Section: Introductionmentioning

confidence: 99%

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Heterotic — type I superstring duality and low-energy effective actions

1996

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We compare order R 4 terms in the 10-dimensional effective actions of SO(32) heterotic and type I superstrings from the point of view of duality between the two theories. Some of these terms do not receive higher-loop corrections being related by supersymmetry to 'anomaly-cancelling' terms which depend on the antisymmetric 2-tensor. At the same time, the consistency of duality relation implies that the 'tree-level' R 4 super-invariant (the one which has ζ(3)-coefficient in the sphere part of the action) should appear also at higher orders of loop expansion, i.e. should be multiplied by a non-trivial function of the dilaton.December 1995 ⋆ e-mail address: tseytlin@ic.ac.uk † On leave from Lebedev Physics Institute, Moscow.

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One-loop string corrections to the effective field theory

Cited by 56 publications

References 38 publications

The ten-dimensional effective action of strongly coupled heterotic string theory

The ten-dimensional effective action of strongly coupled heterotic string theory

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Heterotic — type I superstring duality and low-energy effective actions

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