Counterterms in Supergravity

Technical Report · Wed Jan 24 00:00:00 EST 2001

DOI:https://doi.org/10.2172/784851· OSTI ID:784851

Dixon, Lance ^[1]

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1. SLAC

We examine the ultraviolet behavior of supergravity theories as a function of dimension and number of supercharges. We do so by the computation of one- and two-loop physical on-shell four-point amplitudes. For maximal supergravity, our computations prove the nonrenormalizability of supergravity for D {>=} 6 (including the maximal D = 11 case) and give strong evidence for the existence of a five-loop counterterm in D = 4. For type I supergravity our results indicate similar patterns. We shall also explore a remarkable relationship between gravity amplitudes and those of Yang-Mills theories. In many ways gravity calculations discover features which relate to the equivalent Yang-Mills features by a squaring procedure.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 784851
• Report Number(s): SLAC-PUB-8762
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CALCULATION METHODS
DIMENSIONS
SUPERGRAVITY
ULTRAVIOLET RADIATION
YANG-MILLS THEORY