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- University of EdinburghGB11 papers
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6 papers · 1 filter
PT symmetry breaking and exceptional points for a class of inhomogeneous complex potentials
Patrick Dorey, Clare Dunning, Anna Lishman +1
We study a three-parameter family of PT-symmetric Hamiltonians, related via the ODE/IM correspondence to the Perk-Schultz models. We show that real eigenvalues merge and become com…
On the ODE/IM correspondence for minimal models
Patrick Dorey, Clare Dunning, Ferdinando Gliozzi +1
Within the framework of the ODE/IM correspondence, we show that the minimal conformal field theories with c<1 emerge naturally from the monodromy properties of certain families of…
The ODE/IM Correspondence
Patrick Dorey, Clare Dunning, Roberto Tateo
This article reviews a recently-discovered link between integrable quantum field theories and certain ordinary differential equations in the complex domain. Along the way, aspects…
Pseudo-differential equations, and the Bethe Ansatz for the classical Lie algebras
Patrick Dorey, Clare Dunning, Davide Masoero +2
The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models relate…
Skyrmions and the alpha-particle model of nuclei
Richard Battye, Nicholas Manton, Paul Sutcliffe
We compute new solutions of the Skyrme model with massive pions. Concentrating on baryon numbers which are a multiple of four, we find low energy Skyrmion solutions which are compo…
Skyrmions with massive pions
Richard Battye, Paul Sutcliffe
In the Skyrme model with massless pions, the minimal energy multi-Skyrmions are shell-like, with the baryon density localized on the edges of a polyhedron that is approximately sph…