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New worldsheet formulae for conformal supergravity amplitudes

Abstract We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equations for conformal supergravity are not in general refined by MHV degree. Nevertheless, we obtain a concise worldsheet...

3d $$ \mathcal{N}=4 $$ super-Yang-Mills on a lattice

AbstractIn this paper we explore a new approach to studying three-dimensional \( \mathcal{N}=4 \) super-Yang-Mills on a lattice. Our strategy is to complexify the Donaldson-Witten twist of four-dimensional \( \mathcal{N}=2 \) super-Yang-Mills to make it amenable to a lattice formulation and we find that lattice gauge invariance forces the model to live in at most three dimensions...

From 4d ambitwistor strings to on shell diagrams and back

We investigate the relation between 4d ambitwistor string theory and on-shell diagrams for planar \( \mathcal{N}=4 \) super-Yang-Mills and \( \mathcal{N}=8 \) supergravity, and deduce several new results about their scattering amplitudes at tree-level and 1-loop. In particular, we derive new Grassmannian integral formulae for tree-level amplitudes and obtain new world-sheet...

On-shell diagrams for \( \mathcal{N} \) = 8 supergravity amplitudes

We define recursion relations for \( \mathcal{N} \) = 8 supergravity amplitudes using a generalization of the on-shell diagrams developed for planar \( \mathcal{N} \) = 4 super-Yang-Mills. Although the recursion relations generically give rise to non-planar on-shell diagrams, we show that at tree-level the recursion can be chosen to yield only planar diagrams, the same diagrams...

Soft theorems from conformal field theory

Strominger and collaborators recently proposed that soft theorems for gauge and gravity amplitudes can be interpreted as Ward identities of a 2d CFT at null infinity. In this paper, we will consider a specific realization of this CFT known as ambitwistor string theory, which describes 4d Yang-Mills and gravity with any amount of supersymmetry. Using 4d ambtwistor string theory...

Lattice gerbe theory

Arthur E. Lipstein 1 Ronald A. Reid-Edwards 0 0 Department of Physics and Mathematics, University of Hull , Cottingham Road, Hull, HU6 7RX, U.K 1 Mathematical Institute , Andrew Wiles Building

From d logs to dilogs; the super Yang-Mills MHV amplitude revisited

Arthur E. Lipstein 0 Lionel Mason 0 0 The Mathematical Institute, University of Oxford , 24-29 St Giles', Oxford , OX1 3LB, U.K Recently, loop integrands for certain Yang-Mills scattering

Dual superconformal symmetry of \( \mathcal{N} = 6 \) Chern-Simons theory

Yu-tin Huang 1 Arthur E. Lipstein 0 0 California Institute of Technology , Pasadena, CA 91125, U.S.A 1 Department of Physics and Astronomy , UCLA, Los Angeles, CA 90095-1547, U.S.A We demonstrate

Amplitudes of 3D and 6D maximal superconformal theories in supertwistor space

Yu-tin Huang 1 Arthur E. Lipstein 0 Open Access 0 California Institute of Technology , Pasadena, CA 91125, U.S.A 1 Department of Physics and Astronomy , UCLA, Los Angeles, CA 90095-1547, U.S.A We