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- Roberto Tateo
- 2001

The one-dimensional SchrÃ¶dinger equation for the potential x + Î±x + l(l+ 1)/x has many interesting properties. For certain values of the parameters l and Î± the equation is in turn supersymmetric (Witten), quasi-exactly solvable (Turbiner), and it also appears in Lipatovâ€™s approach to high energy QCD. In this paper we signal some further curious features ofâ€¦ (More)

- Roberto Tateo
- 1998

The spectral determinant D(E) of the quartic oscillator is known to satisfy a functional equation. This is mapped onto the A3-related Y -system emerging in the treatment of a certain perturbed conformal field theory, allowing us to give an alternative integral expression for D(E). Generalising this result, we conjecture a relationship between the xâ€¦ (More)

The method of analytic continuation is used to find exact integral equations for a selection of finite-volume energy levels for the non-unitary minimal models M 2,2N +3 perturbed by their Ï• 13 operators. The N =2 case is studied in particular detail. Along the way, we find a number of general results which should be relevant to the study of excited statesâ€¦ (More)

- Roberto Tateo
- 1999

We exhibit a relationship between the massless a (2) 2 integrable quantum field theory and a certain third-order ordinary differential equation, thereby extending a recent result connecting the massless sine-Gordon model to the SchrÃ¶dinger equation. This forms part of a more general correspondence involving A2-related Bethe ansatz systems and third-orderâ€¦ (More)

The g-function was introduced by Affleck and Ludwig as a measure of the ground state degeneracy of a conformal boundary condition. We consider this function for perturbations of the conformal Yangâ€“Lee model by bulk and boundary fields using conformal perturbation theory (CPT), the truncated conformal space approach (TCSA) and the thermodynamic Bethe Ansatzâ€¦ (More)

The vacuum expectation values of the so-called Q-operators of certain integrable quantum field theories have recently been identified with spectral determinants of particular SchrÃ¶dinger operators. In this paper we extend the correspondence to the T-operators, finding that their vacuum expectation values also have an interpretation as spectral determinants.â€¦ (More)

- Roberto Tateo
- 2001

The appearances of complex eigenvalues in the spectra of PT -symmetric quantummechanical systems are usually associated with a spontaneous breaking of PT . In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with N -foldâ€¦ (More)

We study the spectrum of the scaling Lee-Yang model on a finite interval from two points of view: via a generalisation of the truncated conformal space approach to systems with boundaries, and via the boundary thermodynamic Bethe ansatz. This allows reflection factors to be matched with specific boundary conditions, and leads us to propose a new (andâ€¦ (More)

- Roberto Tateo
- 2000

We show that SU(n) Bethe Ansatz equations with arbitrary â€˜twistâ€™ parameters are hidden inside certain n order ordinary differential equations, and discuss various consequences of this fact. 1 p.e.dorey@durham.ac.uk 2 t.c.dunning@durham.ac.uk tateo@wins.uva.nl