Twistor space observables and quasi-amplitudes in 4D higher-spin gravity

A bstract Vasiliev equations facilitate globally defined formulations of higher-spin gravity in various correspondence spaces associated with different phases of the theory. In the four-dimensional case this induces a correspondence between a generally covariant formulation in spacetime with higher-...

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Bibliographic Details
Published in:The journal of high energy physics 2011-11, Vol.2011 (11), Article 42
Main Authors: Colombo, Nicolò, Sundell, Per
Format: Article
Language:English
Subjects:
Amplitudes
Associativity
Boundary conditions
Classical and Quantum Gravitation
Elementary Particles
Gravitation
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Plane waves
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regularization
Relativity
Relativity Theory
Spaceplanes
Spacetime
String Theory
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Summary:A bstract Vasiliev equations facilitate globally defined formulations of higher-spin gravity in various correspondence spaces associated with different phases of the theory. In the four-dimensional case this induces a correspondence between a generally covariant formulation in spacetime with higher-derivative interactions to a formulation in terms of a deformed symplectic structure on a noncommutative doubled twistor space, whereby space-time boundary conditions correspond to sectors of an associative star-product algebra. In this paper, we look at observables given by integrals over twistor space defining composite zero-forms in spacetime that do not break any local symmetries and that are closed on shell. They are nonlocal observables that can be evaluated in single coordinate charts in spacetime and interpreted as building blocks for dual amplitudes. To regularize potential divergencies arising in their curvature expansion from integration over twistor space, we propose a closed-contour prescription that respects associativity and hence higher-spin gauge symmetry. Applying this regularization scheme to twistor-space plane waves, we show that there exists a class of dual amplitudes given by supertraces. In particular, we examine next-to-leading corrections, and find cancellations that we interpret using transgression properties in twistor space.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2011)042