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(5)
Effective Action
Low Energy
String Theory
Ultraviolet
non perturbative
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String theory dualities and supergravity divergences
String theory dualities and supergravity divergences,10.1007/JHEP06(2010)075,Journal of High Energy Physics,Michael B. Green,Jorge G. Russo,Pierre Van
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String theory dualities and supergravity divergences
(
Citations: 7
)
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Michael B. Green
,
Jorge G. Russo
,
Pierre Vanhove
We demonstrate how duality invariance of the
low energy
expansion of the foursupergraviton amplitude in type II
string theory
determines the precise coefficients of multiloop logarithmic
ultraviolet
divergences of maximal supergravity in various dimensions. This is illustrated by the explicit modulidependence of terms of the form , with k ≤ 3, in the effective action. Furthermore, we show that in the supergravity limit the perturbative contributions are swamped by an accumulation of nonperturbative effects of zeroaction instantons.
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 6, pp. 127, 2010
DOI:
10.1007/JHEP06(2010)075
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Citation Context
(1)
...The subsequent release of [
21
] prompted me to further study the consistency of the conjectures herein under decompactification from D to D + 1 dimensions...
...The results of this investigation, based on [19,
21
] and results available in the mathematical literature [22, 23], are presented in an appendix...
...∇R4 in this limit has been recently spelled out in [19,
21
], while the behavior of the proposed automorphic forms can be studied using results available in the mathematical literature [22, 23] for the constant terms of certain degenerate Eisenstein series under various parabolic subgroups...
...Let us now compare with the decompactification limit of R 4 couplings [
21
],...
...The relations above are consistent with the conjectures in [9, 19,
21
]...
...Let us now compare to the decompactification limit of ∇ 4 R 4 couplings [
21
],...
Boris Pioline
.
R 4 couplings and automorphic unipotent representations
References
(42)
Eisenstein Series and String Thresholds
(
Citations: 37
)
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,
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Journal:
Communications in Mathematical Physics  COMMUN MATH PHYS
, vol. 209, no. 2, pp. 275324, 2000
Oneloop fourgraviton amplitude in elevendimensional supergravity
(
Citations: 57
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J. G. Russo
,
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Journal:
Nuclear Physics B  NUCL PHYS B
, vol. 508, no. 12, pp. 245259, 1997
Unity of superstring dualities
(
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Coset symmetries in dimensionally reduced bosonic string theory
(
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Journal:
Nuclear Physics B  NUCL PHYS B
, vol. 615, no. 1, pp. 117132, 2001
On R4 threshold corrections in type IIB string theory and ( p, q)string instantons
(
Citations: 56
)
Elias B Kiritsis
,
Boris Pioline
Journal:
Nuclear Physics B  NUCL PHYS B
, vol. 508, no. 3, pp. 509534, 1997
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Citations
(7)
Eisenstein series for higherrank groups and string theory amplitudes
(
Citations: 6
)
Michael B. Green
,
Stephen D. Miller
,
Jorge G. Russo
,
Pierre Vanhove
Published in 2010.
A simple approach to counterterms in N=8 supergravity
(
Citations: 8
)
Henriette Elvang
,
Daniel Z. Freedman
,
Michael Kiermaier
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 11, pp. 129, 2010
counterterm and E 7(7) symmetry in maximal supergravity
(
Citations: 8
)
Johannes Brödel
,
Lance J. Dixon
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 5, pp. 130, 2010
R 4 couplings and automorphic unipotent representations
(
Citations: 6
)
Boris Pioline
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 3, pp. 127, 2010
The critical ultraviolet behaviour of N=8 supergravity amplitudes
(
Citations: 5
)
Pierre Vanhove
Published in 2010.