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

Nicolò Colombo, Per Sundell

Resultado de la investigación: Article

24 Citas (Scopus)

Resumen

Vasiliev equations facilitate globally defined formulations of higher-spin grav- ity in various correspondence spaces associated with different phases of the theory. In the four-dimensional case this induces a correspondence between a generally covariant for- mulation 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 poten- tial 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 trans- gression properties in twistor space.

Idioma originalEnglish
Número de artículo042
PublicaciónJournal of High Energy Physics
Volumen2011
N.º11
DOI
EstadoPublished - 2011

Huella dactilar

gravitation
formulations
symmetry
charts
cancellation
algebra
plane waves
sectors
curvature
boundary conditions
stars
expansion
composite materials
products
interactions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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abstract = "Vasiliev equations facilitate globally defined formulations of higher-spin grav- ity in various correspondence spaces associated with different phases of the theory. In the four-dimensional case this induces a correspondence between a generally covariant for- mulation 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 poten- tial 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 trans- gression properties in twistor space.",
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Twistor space observables and quasi-amplitudes in 4D higher-spin gravity. / Colombo, Nicolò; Sundell, Per.

En: Journal of High Energy Physics, Vol. 2011, N.º 11, 042, 2011.

Resultado de la investigación: Article

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AU - Sundell, Per

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