Supersymmetric S-matrices from the worldsheet in 10 &amp; 11d

Self Cite

Recently two of the authors presented a spinorial extension of the scattering equations, the polarized scattering equations that incorporates spinor polarization data. These led to new worldsheet amplitude formulae for a variety of gauge, gravity and brane theories in six dimensions that naturally incorporate fermions and directly extend to maximal supersymmetry. This paper provides a number of improvements to the original formulae, together with extended details of the construction, examples and full proofs of some of the formulae by BCFW recursion and factorization. We show how our formulae reduce to corresponding formulae for maximally supersymmetric gauge, gravity and brane theories in five and four dimensions. In four dimensions our framework naturally gives the twistorial version of the 4d ambitwistor string, giving new insights into the nature of the refined and polarized scattering equations they give rise to, and on the relations between its measure and the CHY measure. Our formulae exhibit a natural double-copy structure being built from ‘half-integrands’. We give further discussion of the matrix of theories and formulae to which our half-integrands give rise, including controversial formulae for amplitudes involving Gerbes.

Section: Jhep08(2020)066mentioning

confidence: 99%

Recursion and worldsheet formulae for 6d superamplitudes

Albonico

Geyer

Mason

2020

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“…[12] 2 4|˜ |3] 2 2 (˜ + k 1 + k 2 ) 2 + Perm , (A.13)and under the loop integration, (5.7) is equivalent tõI triangle NSD,6 = (µ 2 ) 2 [12] 2 [34] 2 6|˜ |5] 2 2 (˜ + k 1 + k 2 ) 2 (˜ − k 5 − k 6 ) 2+ Perm . (A.14)…”

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confidence: 99%

“…The 6D polarised scattering equations have been extended to scattering amplitudes in 10D and 11D supersymmetric theories[12].…”

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confidence: 99%

D3-brane loop amplitudes from M5-brane tree amplitudes

Wen

Zhang

2020

We study loop corrections to scattering amplitudes in the world-volume theory of a probe D3-brane, which is described by the supersymmetric Dirac-Born-Infeld theory. We show that the D3-brane loop superamplitudes can be obtained from the tree-level superamplitudes in the world-volume theory of a probe M5-brane (or D5-brane). The M5-brane theory describes self-interactions of an abelian tensor supermultiplet with (2, 0) supersymmetry, and the tree-level superamplitudes are given by a twistor formula. We apply the construction to the maximally-helicity-violating (MHV) amplitudes in the D3brane theory at one-loop order, which are purely rational terms (except for the four-point amplitude). The results are further confirmed by generalised unitarity methods. Through a supersymmetry reduction on the M5-brane tree-level superamplitudes, we also construct one-loop corrections to the non-supersymmetric D3-brane amplitudes, which agree with the known results in the literature.

“…On the other hand, the twistor string allows for manifestly supersymmetric expressions for amplitudes that are obscured by the usual CHY formulae. The precise relation between the ambitwistor and twistor strings has not yet emerged, though ambitwistor versions of the twistor string [71] and the 'polarized scattering equations' of [72][73][74] make it clear that they are indeed very closely related. It seems likely that the relation will be somewhat similar to that between the RNS and pure spinor versions of full string theory [75].…”

Section: Jhep04(2020)047mentioning

confidence: 99%

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

Skinner

2020

This paper presents a worldsheet theory describing holomorphic maps to twistor space with N fermionic directions. The theory is anomaly free when N = 8. Via the Penrose transform, the vertex operators correspond to an N = 8 Einstein supergravity multiplet. In the first instance, the theory describes gauged supergravity in AdS 4. Upon taking the flat space, ungauged limit, the complete classical S-matrix is recovered from worldsheet correlation functions.