Conformal higher-spin symmetries in twistor string theory

Uvarov, D. V.

doi:10.1016/j.nuclphysb.2014.10.013

Cited by 7 publications

(3 citation statements)

References 44 publications

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“…In Appendix C, we will present the remaining OPEs between them. We observe that the first order poles in the right hand sides of these OPEs (together with the symmetric or antisymmetric combinations of the left hand sides of the OPEs) contain the higher spin generators as well as the new higher spin generators 21 . In general, in these OPEs, there are also fourth, third and second order poles we do not analyze them in this paper explicitly.…”

Section: The Opes Between the Weight-1 Generators And The Weight-3 Ge...mentioning

confidence: 88%

Worldsheet Free Fields, Higher Spin Symmetry and Free ${\cal N}=4$ Super Yang-Mills

Ahn

2021

Preprint

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By using the free field worldsheet realization described by Gaberdiel and Gopakumar recently, we construct the nontrivial lowest generators of the higher spin superalgebra hs(2, 2|4). They consist of cubic terms between the bilinears of ambitwistor-like fields. We also obtain the worldsheet description for the findings of Sezgin and Sundell twenty years ago given by the familiar oscillator construction. The first order poles of the operator product expansions (OPEs), between the conformal weight-1 generators of Lie superalgebra P SU(2, 2|4) and the above conformal weight-3 generators of hs(2, 2|4), are determined explicitly and the additional generators appear in the worldsheet theory.4 Some OPEs between the generators of P SU(2, 2|4) and the lowest generators of hs(2, 2|4) 4.

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Section: The Opes Between the Weight-1 Generators And The Weight-3 Ge...mentioning

confidence: 88%

Worldsheet Free Fields, Higher Spin Symmetry and Free ${\cal N}=4$ Super Yang-Mills

Ahn

2021

Preprint

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“…Use of twistor-like variables for a discussion of conformal fields may be found in refs. [68][69][70]. We note also that Lorentz algebra vector oscillators are popular in the framework of BRST approach to higher-spin fields (see, e.g., refs.…”

Section: Jhep02(2023)043mentioning

confidence: 89%

General light-cone gauge approach to conformal fields and applications to scalar and vector fields

Metsaev

2023

J. High Energ. Phys.

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Totally symmetric arbitrary spin conformal fields propagating in the flat space of even dimension greater than or equal to four are studied. For such fields, we develop a general ordinary-derivative light-cone gauge formalism and obtain restrictions imposed by the conformal algebra symmetries on interaction vertices. We apply our formalism for the detailed study of conformal scalar and vector fields. For such fields, all parity-even cubic interaction vertices are obtained. The cubic vertices obtained are presented in terms of dressing operators and undressed vertices. We show that the undressed vertices of the conformal scalar and vector fields are equal, up to overall factor, to the cubic vertices of massless scalar and vector fields. Various conjectures about interrelations between the cubic vertices for conformal fields in conformal invariant theories and the cubic vertices for massless fields in Poincaré invariant theories are proposed.

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“…In Ref. [17], Berkovits and Witten have shown that conformal gravity appears in the context of string theory on twistor spaces; see also [18][19][20][21][22]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics

Corral,

Giribet,

Olea

2021

Preprint

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We study non-Einstein Bach-flat gravitational instanton solutions that can be regarded as the generalization of the Taub-NUT/Bolt and Eguchi-Hanson solutions of Einstein gravity to conformal gravity. These solutions include non-Einstein spaces which are either asymptotically locally flat spacetimes (ALF) or asymptotically locally Anti-de Sitter (AlAdS). Nevertheless, solutions with different asymptotic conditions exist: we find geometries which present a weakened AlAdS asymptotia, exhibiting the typical low decaying mode of conformal gravity. This permits to identify the simple Neumann boundary condition that, as it happens in the asymptotically AdS sector, selects the Einstein solution out of the solutions of conformal gravity. All the geometries present non-vanishing Hirzebruch signature and Euler characteristic, being single-centered instantons. We compute the topological and Noether-Wald charges of the Taub-NUT/Bolt and Eguchi-Hanson spacetimes, which happen to be finite. This enables us to study the thermodynamic properties of these geometries.

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Conformal higher-spin symmetries in twistor string theory

Cited by 7 publications

References 44 publications

Worldsheet Free Fields, Higher Spin Symmetry and Free ${\cal N}=4$ Super Yang-Mills

Worldsheet Free Fields, Higher Spin Symmetry and Free ${\cal N}=4$ Super Yang-Mills

General light-cone gauge approach to conformal fields and applications to scalar and vector fields

Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics

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