Lectures on twistor theory

Adamo, Tim

doi:10.22323/1.323.0003

Cited by 43 publications

(60 citation statements)

References 82 publications

(142 reference statements)

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“…Excellent reviews may be found in refs. [128][129][130]. We may start by defining twistor space T as the set of solutions of the twistor equation ∇…”

Section: Twistorsmentioning

confidence: 99%

The Weyl double copy from twistor space

Chacón

Nagy

White

2021

J. High Energ. Phys.

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The Weyl double copy is a procedure for relating exact solutions in biadjoint scalar, gauge and gravity theories, and relates fields in spacetime directly. Where this procedure comes from, and how general it is, have until recently remained mysterious. In this paper, we show how the current form and scope of the Weyl double copy can be derived from a certain procedure in twistor space. The new formalism shows that the Weyl double copy is more general than previously thought, applying in particular to gravity solutions with arbitrary Petrov types. We comment on how to obtain anti-self-dual as well as self-dual fields, and clarify some conceptual issues in the twistor approach.

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“…Excellent reviews may be found in refs. [128][129][130]. We may start by defining twistor space T as the set of solutions of the twistor equation ∇…”

Section: Twistorsmentioning

confidence: 99%

The Weyl double copy from twistor space

Chacón

Nagy

White

2021

J. High Energ. Phys.

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“…One of the key tools in the modern approach to scattering amplitudes is the spinor helicity formalism, which enables streamlined representations of on-shell kinematic data in d = 4 space-time dimensions (cf., [18][19][20][21]; our conventions follow [63]). At the heart of this formalism is the isomorphism between the complexified Lorentz group SO(4, C) and SL(2, C) × SL(2, C), as is realized by the Pauli matrices σ αα µ : contraction with the Pauli matrices enables any Lorentz index to be interchanged for a pair of SL(2, C) Weyl spinor indices: v µ ↔ v αα = v µ σ αα µ .…”

Section: Spinor-helicity Formalismmentioning

confidence: 99%

Gluon helicity flip in a plane wave background

Adamo

Ilderton

2019

J. High Energ. Phys.

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We compute the leading probability for a gluon to flip helicity state upon traversing a background plane wave gauge field in pure Yang-Mills theory and QCD, with an arbitrary number of colours and flavours. This is a one-loop calculation in perturbative gauge theory around the gluonic plane wave background, which is treated without approximation (i.e., to all orders in the coupling). We introduce a background-dressed version of the spinor helicity formalism and use it to obtain simple formulae for the flip amplitude with pure external gluon polarizations. We also give in-depth examples for gauge group SU(2), and evaluate both the high-and low-energy limits. Throughout, we compare and contrast with the calculation of photon helicity flip in strong-field QED.

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“…This was generalised to the curved setting in [] (see also []). For detailed expositions on twistor theory and its applications see, for example, the text books [] or the recent reviews []. We shall now explain how the ideas twistor geometry can be combined with those of higher geometry to formulate higher gauge theories.…”

Section: Twistors and Field Theoriesmentioning

confidence: 99%

‐Algebras, the BV Formalism, and Classical Fields

Jurčo

Macrelli

Raspollini

et al. 2019

Fortschritte der Physik

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We summarise some of our recent works on L∞‐algebras and quasi‐groups with regard to higher principal bundles and their applications in twistor theory and gauge theory. In particular, after a lightning review of L∞‐algebras, we discuss their Maurer–Cartan theory and explain that any classical field theory admitting an action can be reformulated in this context with the help of the Batalin–Vilkovisky formalism. As examples, we explore higher Chern–Simons theory and Yang–Mills theory. We also explain how these ideas can be combined with those of twistor theory to formulate maximally superconformal gauge theories in four and six dimensions by means of L∞‐quasi‐isomorphisms, and we propose a twistor space action.

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Lectures on twistor theory

Cited by 43 publications

References 82 publications

The Weyl double copy from twistor space

The Weyl double copy from twistor space

Gluon helicity flip in a plane wave background

‐Algebras, the BV Formalism, and Classical Fields

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