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

Ahn, Changhyun

doi:10.48550/arxiv.2109.09260

Cited by 2 publications

(2 citation statements)

References 38 publications

(144 reference statements)

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“…Furthermore, this proposal is a closed string cousin of the ambitwistor open string description [23,24] of tree level N = 4 Yang-Mills gluon amplitudes [25]. The worldsheet realisation of higher spin symmetries in this proposal has also been studied in [26].…”

Section: Introductionmentioning

confidence: 92%

Twistor coverings and Feynman diagrams

Bhat

Gopakumar

Maity

et al. 2022

J. High Energ. Phys.

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Recently, a worldsheet dual to free $$ \mathcal{N} $$ N = 4 Super Yang-Mills has been proposed in terms of twistor variables for AdS5, in parallel to that for the AdS3 dual to the free symmetric orbifold CFT. In the latter case, holomorphic covering maps play a central role in determining correlators and are associated to Feynman diagrams. After recasting these maps in terms of the worldsheet twistor variables for AdS3, we generalise to AdS5. We propose stringy incidence relations and appropriate reality conditions for the twistor covering maps. For some special kinematic configurations of correlators, we exhibit an explicit construction of the corresponding covering map. We find that the closed string worldsheet corresponding to this map is related to a gauge theory Feynman diagram by the Strebel construction, as for AdS3/CFT2. Rather strikingly, the regularised Strebel area of the worldsheet reproduces the Feynman propagator of the free field theory.

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Section: Introductionmentioning

confidence: 92%

Twistor coverings and Feynman diagrams

Bhat

Gopakumar

Maity

et al. 2022

J. High Energ. Phys.

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show abstract

mentioning

confidence: 92%

Twistor Coverings and Feynman Diagrams

Bhat,

Gopakumar,

Maity

et al. 2021

Preprint

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Recently, a worldsheet dual to free N = 4 Super Yang-Mills has been proposed in terms of twistor variables for AdS 5 , in parallel to that for the AdS 3 dual to the free symmetric orbifold CFT. In the latter case, holomorphic covering maps play a central role in determining correlators and are associated to Feynman diagrams. After recasting these maps in terms of the worldsheet twistor variables for AdS 3 , we generalise to AdS 5 . We propose stringy incidence relations and appropriate reality conditions for the twistor covering maps. For some special kinematic configurations of correlators, we exhibit an explicit construction of the corresponding covering map. We find that the closed string worldsheet corresponding to this map is related to a gauge theory Feynman diagram by the Strebel construction, as for AdS 3 /CFT 2 . Rather strikingly, the regularised Strebel area of the worldsheet reproduces the Feynman propagator of the free field theory.

show abstract

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

Cited by 2 publications

References 38 publications

Twistor coverings and Feynman diagrams

Twistor coverings and Feynman diagrams

Twistor Coverings and Feynman Diagrams

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