Cynthia Keeler

Grassmannians for scattering amplitudes in 4d

A bstractScattering amplitudes in 4d N=4

SYM and 3d ABJM

\mathcal{N}=4

Separability of black holes in string theory

super Yang-Mills theory (SYM) can be described by Grassmannian contour integrals whose form depends on whether the external data is encoded in momentum space, twistor space, or momentum twistor space. After a pedagogical review, we present a new, streamlined proof of the equivalence of the three integral formulations. A similar strategy allows us to derive a new Grassmannian integral for 3d N=6

Schrödinger holography for z < 2

\mathcal{N}=6

Universal features of Lifshitz Green’s functions from holography

ABJM theory amplitudes in momentum twistor space: it is a contour integral in an orthogonal Grassmannian with the novel property that the internal metric depends on the external data. The result can be viewed as a central step towards developing an amplituhedron formulation for ABJM amplitudes. Various properties of Grassmannian integrals are examined, including boundary properties, pole structure, and a homological interpretation of the global residue theorems for N=4