Theoretical Physics
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What can abelian gauge theories teach us about kinematic algebras?
(20240801)The phenomenon of BCJ duality implies that gauge theories possess an abstract kinematic algebra, mirroring the nonabelian Lie algebra underlying the colour information. Although the nature of the kinematic algebra is known ... 
Clustering cluster algebras with clusters
(20230101)Classification of cluster variables in cluster algebras (in particular, Grassmannian cluster algebras) is an important problem, which has direct applications to computations of scattering amplitudes in physics. In this ... 
Mahler measuring the genetic code of amoebae
(20230101)Amoebae from tropical geometry and the Mahler measure from number theory play important roles in quiver gauge theories and dimer models. Their dependencies on the coefficients of the Newton polynomial closely resemble each ... 
Calabi–Yau links and machine learning
(World Scientific Publishing, 202406)Calabi–Yau links are specific S 1 fibrations over Calabi–Yau manifolds, when the link is 7dimensional they exhibit both Sasakian and G2 structures. In this invited contribution to the DANGER proceedings, previous ... 
Spinning binary dynamics in cubic effective field theories of gravity
(20240822)We study the binary dynamics of two Kerr black holes with arbitrary spin vectors in the presence of parityeven and parityodd cubic deformations of gravity. We first derive the treelevel Compton amplitudes for a Kerr ... 
Exact results for giant graviton fourpoint correlators
(Springer Nature, 20240705)We study the fourpoint correlator O2O2DD in N = 4 super YangMills theory (SYM) with SU(N) gauge group, where O2 represents the superconformal primary operator with dimension two, while D denotes a determinant operator ... 
Relations between integrated correlators in N = 4 supersymmetric YangMills theory
(Springer Nature, 20240506)Integrated correlation functions in N = 4 supersymmetric YangMills theory with gauge group SU(N) can be expressed in terms of the localised S4 partition function, ZN, deformed by a mass m. Two such cases are CN=Imτ2∂τ∂τ ... 
Permutation invariant Gaussian matrix models for financial correlation matrices
(Elsevier, 20240808)We construct an ensemble of correlation matrices from highfrequency foreign exchange market data, with one matrix for every day for 446 days. The matrices are symmetric and have vanishing diagonal elements after subtracting ... 
On the anomaly interpretation of amplitudes in selfdual YangMills and gravity
(Springer, 20240716)We investigate the integrability anomalies arising in the selfdual sectors of gravity and YangMills theory, focusing on their connection to both the chiral anomaly and the trace anomaly. The anomalies in the selfdual ... 
The uncertainty principle and classical amplitudes
(Springer Nature, 20240626)We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of ... 
No U(1) ‘electricmagnetic’ duality in Einstein gravity
(Springer Nature, 20240417)We revisit the question of whether classical general relativity obeys, beyond the linearised order, an analogue of the global U(1) electricmagnetic duality of Maxwell theory, with the Riemann tensor playing the role ... 
Machine Learning Clifford Invariants of ADE Coxeter Elements
(Springer Nature, 202407) 
The Inverse of Exact Renormalization Group Flows as Statistical Inference
(MDPI, 20240430)We build on the view of the Exact Renormalization Group (ERG) as an instantiation of Optimal Transport described by a functional convection–diffusion equation. We provide a new informationtheoretic perspective for ... 
Nexttosoft radiation from a different angle
(American Physical Society, 20240408)Soft and collinear radiation in collider processes can be described in a universal way, that is independent of the underlying process. Recent years have seen a number of approaches for probing whether radiation beyond the ... 
The cosmological tree theorem
(Springer, 20231212)A number of diagrammatic “cutting rules” have recently been developed for the wavefunction of the Universe which determines cosmological correlation functions. These leverage perturbative unitarity to relate particular ... 
Positivity and the electroweak hierarchy
(American Physical Society, 20240221)We point out that an unnatural hierarchy between certain higherdimensional operator coefficients in a lowenergy effective field theory (EFT) would automatically imply that the Higgs' vacuum expectation value is hierarchically ... 
Kinematic Hopf algebra for amplitudes from higherderivative operators
(20240201)Recently it has been shown that BernCarrascoJohansson (BCJ) numerators of colourkinematic duality for treelevel scattering amplitudes in YangMills theory (coupled with scalars) can be determined using a quasishuffle ... 
Integrated Correlators in N=4 Supersymmetric YangMills Theory beyond Localization.
(20240308)We study integrated correlators of four superconformal primaries O_{p} with arbitrary charges p in N=4 super YangMills theory. The ⟨O_{2}O_{2}O_{p}O_{p}⟩ integrated correlators can be computed by supersymmetric localization, ...