Einstein supergravity amplitudes from twistor-string theory

This paper gives a twistor-string formulation for all tree amplitudes of Einstein (super-)gravities for N=0 and 4. Formulae are given with and without cosmological constant and with various possibilities for the gauging. The formulae are justified by use of Maldacena's observation that conforma...

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Päätekijät: Adamo, T, Mason, L
Aineistotyyppi: Journal article
Julkaistu: 2012
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author Adamo, T
Mason, L
author_facet Adamo, T
Mason, L
author_sort Adamo, T
collection OXFORD
description This paper gives a twistor-string formulation for all tree amplitudes of Einstein (super-)gravities for N=0 and 4. Formulae are given with and without cosmological constant and with various possibilities for the gauging. The formulae are justified by use of Maldacena's observation that conformal gravity tree amplitudes with Einstein wave functions and non-zero cosmological constant will correctly give the Einstein tree amplitudes. This justifies the construction of Einstein gravity amplitudes at N=0 from twistor-string theory and is extended to N=4 by requiring the standard relation between the MHV-degree and the degree of the rational curve for Yang-Mills; this systematically excludes the spurious conformal supergravity gravity contributions. For comparison, BCFW recursion is used to obtain twistor-string-like formulae at degree zero and one (anti-MHV and MHV) for amplitudes with N=8 supersymmetry with and without cosmological constant.
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spelling oxford-uuid:e47d6c90-f20c-4c68-85cc-9e5a9f9548102022-03-27T10:17:01ZEinstein supergravity amplitudes from twistor-string theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e47d6c90-f20c-4c68-85cc-9e5a9f954810Symplectic Elements at Oxford2012Adamo, TMason, LThis paper gives a twistor-string formulation for all tree amplitudes of Einstein (super-)gravities for N=0 and 4. Formulae are given with and without cosmological constant and with various possibilities for the gauging. The formulae are justified by use of Maldacena's observation that conformal gravity tree amplitudes with Einstein wave functions and non-zero cosmological constant will correctly give the Einstein tree amplitudes. This justifies the construction of Einstein gravity amplitudes at N=0 from twistor-string theory and is extended to N=4 by requiring the standard relation between the MHV-degree and the degree of the rational curve for Yang-Mills; this systematically excludes the spurious conformal supergravity gravity contributions. For comparison, BCFW recursion is used to obtain twistor-string-like formulae at degree zero and one (anti-MHV and MHV) for amplitudes with N=8 supersymmetry with and without cosmological constant.
spellingShingle Adamo, T
Mason, L
Einstein supergravity amplitudes from twistor-string theory
title Einstein supergravity amplitudes from twistor-string theory
title_full Einstein supergravity amplitudes from twistor-string theory
title_fullStr Einstein supergravity amplitudes from twistor-string theory
title_full_unstemmed Einstein supergravity amplitudes from twistor-string theory
title_short Einstein supergravity amplitudes from twistor-string theory
title_sort einstein supergravity amplitudes from twistor string theory
work_keys_str_mv AT adamot einsteinsupergravityamplitudesfromtwistorstringtheory
AT masonl einsteinsupergravityamplitudesfromtwistorstringtheory