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

Journal Article · Fri Mar 18 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.111601· OSTI ID:21562097

Stieberger, Stephan ^[1]

---

1. Max-Planck-Institut fuer Physik, Werner-Heisenberg-Institut, 80805 Muenchen (Germany)

We consider the scattering amplitudes of five and six gravitons at tree level in superstring theory. Their power series expansions in the Regge slope {alpha}{sup '} are analyzed through the order {alpha}{sup '8} showing some interesting constraints on higher order gravitational couplings in the effective superstring action such as the absence of R{sup 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 {alpha}{sup '8} like the absence of {zeta}(2){zeta}(3)R{sup 6} terms. Our analysis is valid for any superstring background in any space-time dimension, which allows for a conformal field theory description.

• OSTI ID: 21562097
• Journal Information: Physical Review Letters, Vol. 106, Issue 11; Other Information: DOI: 10.1103/PhysRevLett.106.111601; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFORMAL INVARIANCE
COUPLINGS
GRAVITONS
POWER SERIES
QUANTUM FIELD THEORY
SCATTERING AMPLITUDES
SPACE-TIME
SUPERSTRING MODELS
SUPERSTRING THEORY
WEIGHT
AMPLITUDES
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
GRAVITATIONAL RADIATION
INVARIANCE PRINCIPLES
MASSLESS PARTICLES
MATHEMATICAL MODELS
M-THEORY
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
RADIATIONS
SERIES EXPANSION
STRING MODELS
STRING THEORY