115 citations · 518 across the 11 of their papers we have counts for
13 papers
A combinatorial interpolation between the hypercube and the associahedron
Lara Bossinger, Ömer Gürdoğan
We study a family of polytopes interpolating between the hypercube and the associahedron. We give an explicit description of their normal fans and describe their combinatorics in t…
Amplitudes at strong coupling as hyperkähler scalars
Hadleigh Frost, Ömer Gürdogan, Lionel Mason
Alday & Maldacena conjectured an equivalence between string amplitudes in AdS and null polygonal Wilson loops in planar super-Yang-Mills (SYM). At st…
Antipodal Self-Duality for a Four-Particle Form Factor
Lance J. Dixon, Ömer Gürdoğan, Yu-Ting Liu +2
We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar super-Yang-Mil…
Bootstrapping a Stress-Tensor Form Factor through Eight Loops
Lance J. Dixon, Omer Gurdogan, Andrew J. McLeod +1
We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar supersymmetric Yang-Mills theory at six, seven, and eight loops, using boun…
Folding Amplitudes into Form Factors: An Antipodal Duality
Lance J. Dixon, Omer Gurdogan, Andrew J. McLeod +1
We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar super-Yang-Mills theory is dual to the six-gluon MHV amplitu…
Tropical fans, scattering equations and amplitudes
James Drummond, Jack Foster, Ömer Gürdoğan +1
We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways.…
Algebraic singularities of scattering amplitudes from tropical geometry
James Drummond, Jack Foster, Ömer Gürdoğan +1
We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar super Yang-Mills theory. We argue that…
Tropical Grassmannians, cluster algebras and scattering amplitudes
James Drummond, Jack Foster, Ömer Gürdoğan +1
We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians . A finite clu…
Cluster adjacency beyond MHV
James Drummond, Jack Foster, Omer Gurdogan
We explore further the notion of cluster adjacency, focussing on non-MHV amplitudes. We extend the notion of adjacency to the BCFW decomposition of tree-level amplitudes. Adjacency…
Cluster adjacency properties of scattering amplitudes
James Drummond, Jack Foster, Omer Gurdogan
We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalise the Steinmann relations and are expressed in terms of…
Two-loop Sudakov Form Factor in ABJM
Andreas Brandhuber, Omer Gurdogan, Dimitrios Korres +2
We compute the two-loop Sudakov form factor in three-dimensional N=6 superconformal Chern-Simons theory, using generalised unitarity. As an intermediate step, we derive the non-pla…
Harmony of Super Form Factors
Andreas Brandhuber, Omer Gurdogan, Robert Mooney +2
In this paper we continue our systematic study of form factors of half-BPS operators in N=4 super Yang-Mills. In particular, we extend various techniques known for amplitudes to th…
Walking solutions in the string background dual to N=1 SQCD-like theories
Omer Can Gurdogan
A new solution in the string background dual to N=1 SQCD-like theories is presented. The gauge coupling in this solution has walking property. The Wilson loop calculations show tha…