Non-Chiral S-Matrix of N=4 Super Yang-Mills

Huang, Yu-tin

doi:10.48550/arxiv.1104.2021

Cited by 18 publications

(37 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition to the general proof, we study how to construct these forms though inverse-soft-construction, and work out explicitly all-n MHV and NMHV forms as primary examples. As a byproduct, these remarkably simple formula for the forms provide results for non-chiral superamplitudes for N = 4 SYM [12,13].…”

mentioning

confidence: 89%

See 1 more Smart Citation

Notes on scattering amplitudes as differential forms

He¹,

Zhang²

2018

J. High Energ. Phys.

110

View full text Add to dashboard Cite

Inspired by the idea of viewing amplitudes in N = 4 SYM as differential forms on momentum twistor space, we introduce differential forms on the space of spinor variables, which combine helicity amplitudes in any four-dimensional gauge theory as a single object. In this note we focus on such differential forms in N = 4 SYM, which can also be thought of as "bosonizing" superamplitudes in non-chiral superspace. Remarkably all tree-level amplitudes in N = 4 SYM combine to a d log form in spinor variables, which is given by pushforward of canonical forms of Grassmannian cells. The tree forms can also be obtained using BCFW or inverse-soft construction, and we present all-multiplicity expression for MHV and NMHV forms to illustrate their simplicity. Similarly all-loop planar integrands can be naturally written as d log forms in the Grassmannian/on-shelldiagram picture, and we expect the same to hold beyond the planar limit. Just as the form in momentum twistor space reveals underlying positive geometry of the amplituhedron, the form in terms of spinor variables strongly suggests an "amplituhedron in momentum space". We initiate the study of its geometry by connecting it to the moduli space of Witten's twistor-string theory, which provides a pushforward formula for tree forms in N = 4 SYM.

show abstract

mentioning

confidence: 89%

“…The unit works out as before since we have pairs φ, φ or φ , φ . The upshot is the expansion in analogous with the non-chiral superfield [12] Φ(λ, λ, dλ, d λ) =(dλ)…”

Section: Forms For Supersymmetric Amplitudesmentioning

confidence: 99%

Notes on scattering amplitudes as differential forms

He¹,

Zhang²

2018

J. High Energ. Phys.

110

View full text Add to dashboard Cite

show abstract

“…This theory, and its relation to N = 4 SYM amplitudes in 4d, has been under intense recent investigation[51,52,[54][55][56][57] 11. For massive scalars a CSW expansion was worked out in[38], which can be used to compute rational terms in QCD[60,61].…”

mentioning

confidence: 99%

The Coulomb-branch S-matrix from massless amplitudes

Kiermaier

2011

Preprint

View full text Add to dashboard Cite

We present a systematic method to extract the entire tree-level S-matrix on the Coulomb branch of N = 4 SYM from soft-scalar limits of on-shell amplitudes at the origin of moduli space. Massive amplitudes in the spontaneously-broken theory can thus be computed from on-shell amplitudes in the massless, unbroken theory. To check this correspondence, we first prove that soft and collinear divergences in the required massless amplitudes cancel for a judicious choice of soft-scalar momenta. We then explicitly verify our proposal in examples with arbitrarily many external legs and to all orders in the mass. As a byproduct, the construction leads to a massive CSW-like expansion that reproduces several known all-n results for Coulomb-branch amplitudes in an effortless way. We briefly discuss the extension of our method to loop integrands.

show abstract

“…This representation is known as the non-chiral representation of the N = 4 SYM multiplet [24]. To see this note that the helicity of the Clifford vacuum in the above superfield is s 0 = 0.…”

Section: N = 4 Sym 1/2-bps Multipletmentioning

confidence: 99%

Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast}$ Theory

Abhishek,

Hegde,

Jatkar

et al. 2022

Preprint

View full text Add to dashboard Cite

We use massive spinor helicity formalism to study scattering amplitudes in N = 2 * super-Yang-Mills theory in four dimensions. We compute the amplitudes at an arbitrary point in the Coulomb branch of this theory. We compute amplitudes using projection from N = 4 theory and write three point amplitudes in a convenient form using special kinematics. We then compute four point amplitudes by carrying out massive BCFW shift of the amplitudes.We find some of the shifted amplitudes have a pole at z = ∞. Taking the residue at z = ∞ into account ensures little group covariance of the final result.

show abstract

Non-Chiral S-Matrix of N=4 Super Yang-Mills

Cited by 18 publications

References 41 publications

Notes on scattering amplitudes as differential forms

Notes on scattering amplitudes as differential forms

The Coulomb-branch S-matrix from massless amplitudes

Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast}$ Theory

Contact Info

Product

Resources

About