Outputs (28)

On S-duality of the superconformal index on lens spaces and 2d TQFT (2013)
Journal Article
Alday, L. F., Bullimore, M., & Fluder, M. (2013). On S-duality of the superconformal index on lens spaces and 2d TQFT. Journal of High Energy Physics, 2013(05), Article 122. https://doi.org/10.1007/jhep05%282013%29122

We consider the 4d superconformal index for N=2 gauge theories on S 1 × L(r, 1), where L(r, 1) is a Lens space. We focus on a one-parameter slice of the three-dimensional fugacity space and in that sector we show S-duality. We do so by rewriting the... Read More about On S-duality of the superconformal index on lens spaces and 2d TQFT.

Scattering amplitudes and Wilson loops in twistor space (2011)
Journal Article
Adamo, T., Bullimore, M., Mason, L., & Skinner, D. (2011). Scattering amplitudes and Wilson loops in twistor space. Journal of Physics A: Mathematical and Theoretical, 44(45), Article 454008. https://doi.org/10.1088/1751-8113/44/45/454008

This paper reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for $\mathcal {N}=4$ super-Yang–Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally sup... Read More about Scattering amplitudes and Wilson loops in twistor space.

MHV diagrams from an all-loop recursion relation (2011)
Journal Article
Bullimore, M. (2011). MHV diagrams from an all-loop recursion relation. Journal of High Energy Physics, 2011(08), Article 107. https://doi.org/10.1007/jhep08%282011%29107

We derive an all-loop recursion relation for the rational integrands of scattering amplitudes in planar N=4 super Yang-Mills theory. The recursion relation is generated by an all-line shift of momentum twistors. We solve the recursion relation in det... Read More about MHV diagrams from an all-loop recursion relation.

A proof of the correlation function/supersymmetric Wilson loop correspondence (2011)
Journal Article
Adamo, T., Bullimore, M., Mason, L., & Skinner, D. (2011). A proof of the correlation function/supersymmetric Wilson loop correspondence. Journal of High Energy Physics, 2011(08), Article 076. https://doi.org/10.1007/jhep08%282011%29076

We prove that in the limit when its insertion points become pairwise null-separated, the ratio of certain n-point correlation functions in N=4 SYM is equal to a supersymmetric Wilson loop on twistor space, acting in the adjoint representation. In the... Read More about A proof of the correlation function/supersymmetric Wilson loop correspondence.

Inverse soft factors and grassmannian residues (2011)
Journal Article
Bullimore, M. (2011). Inverse soft factors and grassmannian residues. Journal of High Energy Physics, 2011(01), Article 055. https://doi.org/10.1007/jhep01%282011%29055

The action of holomorphic inverse soft factors on scattering amplitudes in N=4 SYM is shown to take a remarkably simple form in momentum twistor space. This is used to identify individual residues of the grassmannian with primitive leading singularit... Read More about Inverse soft factors and grassmannian residues.

MHV diagrams in momentum twistor space (2010)
Journal Article
Bullimore, M., Mason, L., & Skinner, D. (2010). MHV diagrams in momentum twistor space. Journal of High Energy Physics, 2010(12), Article 032. https://doi.org/10.1007/jhep12%282010%29032

We show that there are remarkable simplifications when the MHV diagram formalism for N=4 super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity while each propagator becomes a dual superconformal ‘R-invariant’... Read More about MHV diagrams in momentum twistor space.

Kinetic mixing of U(1)’s for local string models (2010)
Journal Article
Bullimore, M., Conlon, J. P., & Witkowski, L. T. (2010). Kinetic mixing of U(1)’s for local string models. Journal of High Energy Physics, 2010(11), Article 142. https://doi.org/10.1007/jhep11%282010%29142

We study kinetic mixing between massless U(1)s in toroidal orbifolds with D3-branes at orbifold singularities. We focus in particular on C3/Z4 singularities but also study C3/Z6 and C3/Z′6 singularities. We find kinetic mixing can be present and desc... Read More about Kinetic mixing of U(1)’s for local string models.

Twistor-strings, Grassmannians and leading singularities (2010)
Journal Article
Bullimore, M., Mason, L., & Skinner, D. (2010). Twistor-strings, Grassmannians and leading singularities. Journal of High Energy Physics, 2010(03), Article 070. https://doi.org/10.1007/jhep03%282010%29070

We derive a systematic procedure for obtaining explicit, ℓ-loop leading singularities of planar N = 4 super Yang-Mills scattering amplitudes in twistor space directly from their momentum space channel diagram. The expressions are given as integrals o... Read More about Twistor-strings, Grassmannians and leading singularities.