Conformal field theories in six-dimensional twistor space

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00064685" target="_blank" >RIV/00216224:14310/12:00064685 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.geomphys.2012.08.001" target="_blank" >http://dx.doi.org/10.1016/j.geomphys.2012.08.001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.geomphys.2012.08.001" target="_blank" >10.1016/j.geomphys.2012.08.001</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Conformal field theories in six-dimensional twistor space

Popis výsledku v původním jazyce

This article gives a study of the higher-dimensional Penrose transform between conformally invariant massless fields on space-time and cohomology classes on twistor space, where twistor space is defined to be the space of projective pure spinors of the conformal group. We focus on the six-dimensional case in which twistor space is the 6-quadric Q in CP7 with a view to applications to the self-dual (0, 2)-theory. We show how spinor-helicity momentum eigenstates have canonically defined distributional representatives on twistor space (a story that we extend to arbitrary dimension). These yield an elementary proof of the surjectivity of the Penrose transform. We give a direct construction of the twistor transform between the two different representationsof massless fields on twistor space (H-2 and H-3) in which the H(3)s arise as obstructions to extending the H(2)s off Q into CP7.

Název v anglickém jazyce

Conformal field theories in six-dimensional twistor space

Popis výsledku anglicky

This article gives a study of the higher-dimensional Penrose transform between conformally invariant massless fields on space-time and cohomology classes on twistor space, where twistor space is defined to be the space of projective pure spinors of the conformal group. We focus on the six-dimensional case in which twistor space is the 6-quadric Q in CP7 with a view to applications to the self-dual (0, 2)-theory. We show how spinor-helicity momentum eigenstates have canonically defined distributional representatives on twistor space (a story that we extend to arbitrary dimension). These yield an elementary proof of the surjectivity of the Penrose transform. We give a direct construction of the twistor transform between the two different representationsof massless fields on twistor space (H-2 and H-3) in which the H(3)s arise as obstructions to extending the H(2)s off Q into CP7.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Geometry and Physics

ISSN

0393-0440

e-ISSN

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Svazek periodika

62

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

23

Strana od-do

2353-2375

Kód UT WoS článku

000312362000005

EID výsledku v databázi Scopus

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