Twistor strings for $$ \mathcal{N} $$ = 8 supergravity

Skinner, David

doi:10.1007/jhep04(2020)047

Cited by 46 publications

(72 citation statements)

References 117 publications

(223 reference statements)

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“…The amplitudes we derived appear to be in the same representation as amplitudes computed using the twistor space techniques, see [103] for a general introduction to twistors and [104][105][106][107][108][109][110] for computations of amplitudes of massless fields in AdS 4 space using this formalism. The reason is that the plane wave solutions we use for external lines are the same.…”

Section: Discussionmentioning

confidence: 99%

Spinor-Helicity Formalism for Massless Fields in AdS4

Nagaraj

Ponomarev

2019

Phys. Rev. Lett.

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In a recent letter we suggested a natural generalization of the flat-space spinorhelicity formalism in four dimensions to anti-de Sitter space. In the present paper we give some technical details that were left implicit previously. For lower-spin fields we also derive potentials associated with the previously found plane wave solutions for field strengths. We then employ these potentials to evaluate some three-point amplitudes. This analysis illustrates a typical computation of an amplitude without internal lines in our formalism.In recent years significant progress was achieved in amplitudes' computations as well as in understanding of various hidden structures underlying them. This is especially true for theories of massless particles in four dimensions. For these theories one can choose convenient kinematic variables that lead to what is known as the spinor-helicity formalism. This formalism allows to compute amplitudes efficiently and produces them in an extremely compact form. This is typically illustrated by the Parke-Taylor formula [1], which gives a single-term expression for a tree-level MHV n-point amplitude in the Yang-Mills theory. The spinor-helicity formalism also fits together nicely with other techniques used for amplitudes' computations. For review on modern amplitude methods and on the spinor-helicity formalism, see [2][3][4]. The success of the spinor-helicity formalism for theories of massless particles in four dimensions motivated its various extensions -to other dimensions [5][6][7][8][9] and to massive fields [10][11][12][13].Another line of research that lead to important developments in recent years is the AdS/CFT correspondence. It is a conjectured duality between gravitational theories in AdS space and conformal theories on its boundary [14][15][16]. The AdS/CFT correspondence provides us with new tools to address important problems of quantum gravity and strongly coupled systems. On the AdS side perturbative observables are computed by Witten diagrams, which can be regarded as the AdS counterpart of flat scattering amplitudes. These diagrams can be expressed in different representations: in terms of boundary coordinates that label external lines, in terms of the associated Fourier or Mellin space variables or presented in the form of the conformal block decomposition, see [17][18][19][20][21][22][23][24][25][26][27][28] for a far from complete list of references. Each of these representations has its own virtues and for each of them major progress was achieved in recent years. In particular, more efficient methods of computing Witten diagrams were developed, relations between the analytic structure of amplitudes and types of bulk processes were understood, it was found how take the flatspace limit of Witten diagrams, thus, reproducing the associated flat scattering amplitudes. Moreover, these results can be extended to dS space producing de Sitter space correlators, which, in turn, are closely related to inflationary correlators, see e.g. [29][30][31][32][33]. Despite these successes, ...

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Section: Discussionmentioning

confidence: 99%

Spinor-Helicity Formalism for Massless Fields in AdS4

Nagaraj

Ponomarev

2019

Phys. Rev. Lett.

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“…where X m , P m are bosonic SO (1,9) vectors, θ α is a fermionic SO (1,9) Majorana-Weyl spinor, e is the Lagrange multiplier enforcing the massless condition P 2 = 0 and (γ m ) αβ , (γ m ) αβ are the Pauli matrices, symmetric real 16× 16 matrices satisfying…”

Section: Standard 10d Massless Superparticlementioning

confidence: 99%

“…where η α and ξ are arbitrary SO (1,9) bosonic spinor and fermionic scalar parameters respectively. So the twistor model actually possesses 32 − 14 = 18 independent bosonic and 10 − 2 = 8 independent fermionic degrees of freedom, i.e., the dimension of A, the phase space of the ten-dimensional Brink-Schwarz superparticle.…”

Section: Review Of Supertwistor Description Of the D = 10 Massless Sumentioning

confidence: 99%

“…Therefore the ψ m operators will be represented by SO (1,9) Γ-matrices and the superparticle wavefunction will be described by an SO (1,9) 32-component spinor φ A . The supertwistor constraints in a φ A (λ) representation take the form…”

Section: Quantizationmentioning

confidence: 99%

“…Ambitwistor strings [1][2][3] are chiral worldsheet theories that provide the two-dimensional quantum field theories that give rise to the CHY formulae for the scattering of massless particles in any spacetime dimension [4][5][6] as an extension of the four-dimensional twistor-string [7][8][9]. In particular, these chiral models for Type IIA/IIB supergravity in ten-dimensional spacetime reproduce the standard tree amplitudes corresponding to the massless modes of type IIA/IIB superstring theory [10].…”

Section: Introductionmentioning

confidence: 96%

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Supertwistor description of ambitwistor strings

2020

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A new ambitwistor string is constructed based on a ten-dimensional supertwistor model for the massless superparticle. Although covariant quantization is complicated by reducibility issues, a light-cone gauge analysis can be easily performed. We show that with this analysis, this supertwistor ambitwistor string is equivalent to the RNS ambitwistor string in light-cone gauge. In order to make the comparison, we develop the light-cone gauge analysis of the RNS ambitwistor string which has some novel features in terms of its expression of the scattering equations through interaction point operators.

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Introduction

Sharma

2023

Springer Theses

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Twistor strings for $$ \mathcal{N} $$ = 8 supergravity

Cited by 46 publications

References 117 publications

Spinor-Helicity Formalism for Massless Fields in AdS4

Spinor-Helicity Formalism for Massless Fields in AdS4

Supertwistor description of ambitwistor strings

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