Constraints on Tree-Level Higher Order Gravitational Couplings in Superstring Theory

We consider the scattering amplitudes of five and six gravitons at tree level in superstring theory. Their power series expansions in the Regge slope α' are analyzed through the order α'(8) showing some interesting constraints on higher order gravitational couplings in the effective supers...

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Bibliographic Details
Published in:Physical review letters Vol. 106; no. 11; p. 111601
Main Author: Stieberger, Stephan
Format: Journal Article
Language:English
Published: United States 18.03.2011
Subjects:
AMPLITUDES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPOSITE MODELS
CONFORMAL INVARIANCE
COUPLINGS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
GRAVITATIONAL RADIATION
GRAVITONS
INVARIANCE PRINCIPLES
M-THEORY
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POSTULATED PARTICLES
POWER SERIES
QUANTUM FIELD THEORY
QUARK MODEL
RADIATIONS
SCATTERING AMPLITUDES
SERIES EXPANSION
SPACE-TIME
STRING MODELS
STRING THEORY
SUPERSTRING MODELS
SUPERSTRING THEORY
WEIGHT
ISSN:0031-9007, 1079-7114, 1079-7114
Online Access:Get full text
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Summary:We consider the scattering amplitudes of five and six gravitons at tree level in superstring theory. Their power series expansions in the Regge slope α' are analyzed through the order α'(8) showing some interesting constraints on higher order gravitational couplings in the effective superstring action such as the absence of R(5) terms. Furthermore, some transcendentality constraints on the coefficients of the nonvanishing couplings are observed: the absence of zeta values of even weight through the order α'(8) like the absence of ζ(2)ζ(3)R(6) terms. Our analysis is valid for any superstring background in any space-time dimension, which allows for a conformal field theory description.
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ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.106.111601