95 citations · 818 across the 47 of their papers we have counts for
15 papers · 1 filter
Bosonisation Cohomology: Spin Structure Summation in Every Dimension
Philip Boyle Smith, Joe Davighi
Gauging fermion parity and summing over spin structures are subtly distinct operations. We introduce 'bosonisation cohomology' groups to capture this difference, for…
Scalar Amplitudes from Fibre Bundle Geometry
Mohammad Alminawi, Ilaria Brivio, Joe Davighi
We compute tree-level -point scattering amplitudes in scalar field theories in terms of geometric invariants on a fibre bundle. All 0- and 2-derivative interactions are incorpor…
Fractional Hydrodynamic Transport from the Witten Anomaly
Joe Davighi, Nakarin Lohitsiri, Napat Poovuttikul
We study the physical consequences of 't Hooft anomalies in the high-temperature limit of relativistic quantum field theories with , or more generally , global symm…
WZW terms without anomalies: generalised symmetries in chiral Lagrangians
Joe Davighi, Nakarin Lohitsiri
We consider a 4d non-linear sigma model on the coset $(\mathrm{SU}(N)_L \times \mathrm{SU}(N)_R \times \mathrm{SU}(2))/(\mathrm{SU}(N)_{L+R}\times \mathrm{U}(1))\cong \mathrm{SU}(N…
A Non-Perturbative Mixed Anomaly and Fractional Hydrodynamic Transport
Joe Davighi, Nakarin Lohitsiri, Napat Poovuttikul
We present a new non-perturbative 't Hooft anomaly afflicting a quantum field theory with symmetry group in four dimensions. We use the Adams spectral s…
Toric 2-group anomalies via cobordism
Joe Davighi, Nakarin Lohitsiri
2-group symmetries arise in physics when a 0-form symmetry and a 1-form symmetry intertwine, forming a generalised group-like structure. Specialising to the cas…
Anomalies of non-Abelian finite groups via cobordism
Joe Davighi, Ben Gripaios, Nakarin Lohitsiri
We use cobordism theory to analyse anomalies of finite non-abelian symmetries in 4 spacetime dimensions. By applying the method of `anomaly interplay', which uses functoriality of…
Natural Selection Rules: New Positivity Bounds for Massive Spinning Particles
Joe Davighi, Scott Melville, Tevong You
We derive new effective field theory (EFT) positivity bounds on the elastic scattering amplitudes of massive spinning particles from the standard UV properties of unitarity…
Omega vs. pi, and 6d anomaly cancellation
Joe Davighi, Nakarin Lohitsiri
In this note we review the role of homotopy groups in determining non-perturbative (henceforth `global') gauge anomalies, in light of recent progress understanding global anomalies…
The algebra of anomaly interplay
Joe Davighi, Nakarin Lohitsiri
We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism. Mathematically, such an interplay is encoded in the non-c…
Differential cohomology and topological actions in physics
Joe Davighi, Ben Gripaios, Oscar Randal-Williams
We use differential cohomology to systematically construct a large class of topological actions in physics, including Chern-Simons terms, Wess-Zumino-Novikov-Witten terms, and thet…
Anomaly interplay in gauge theories
Joe Davighi, Nakarin Lohitsiri
We discuss anomaly cancellation in gauge theories in four dimensions. For a gauge theory defined with a spin structure, the vanishing of the bordism group $Ω_5^{\text…
Global anomalies in the Standard Model(s) and Beyond
Joe Davighi, Ben Gripaios, Nakarin Lohitsiri
We analyse global anomalies and related constraints in the Standard Model (SM) and various Beyond the Standard Model (BSM) theories. We begin by considering four distinct, but equa…
Quantum mechanics in magnetic backgrounds with manifest symmetry and locality
Joe Davighi, Ben Gripaios, Joseph Tooby-Smith
The usual methods for formulating and solving the quantum mechanics of a particle moving in a magnetic field respect neither locality nor any global symmetries which happen to be p…
Homological classification of topological terms in sigma models on homogeneous spaces
Joe Davighi, Ben Gripaios
We classify the topological terms (in a sense to be made precise) that may appear in a non-linear sigma model based on maps from an arbitrary worldvolume manifold to a homogeneous…