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Probabilities of rapidity gaps in high energy interactions (2001)
Journal Article
Kaidalov, A., Khoze, V., Martin, A., & Ryskin, M. (2001). Probabilities of rapidity gaps in high energy interactions. The European Physical Journal C, 21(3), 521-529. https://doi.org/10.1007/s100520100751

We show that high energy hadronic reactions which contain a rapidity gap and a hard subprocess have a specific dependence on the kinematic variables, which results in a characteristic behaviour of the survival probability of the gap. We incorporate t... Read More about Probabilities of rapidity gaps in high energy interactions.

On the zero-in-the-spectrum conjecture (2001)
Journal Article
Farber, M., & Weinberger, S. (2001). On the zero-in-the-spectrum conjecture. Annals of Mathematics, 154(1), 139 - 154. https://doi.org/10.2307/3062113

We prove that the answer to the "zero-in-the-spectrum" conjecture, in the form suggested by J. Lott, is negative. Namely, we show that for any $n\ge 6$ there exists a closed $n$-dimensional smooth manifold $M^n$, so that zero does not belong to the s... Read More about On the zero-in-the-spectrum conjecture.

EDM constraints in supersymmetric theories (2001)
Journal Article
Abel, S., Khalil, S., & Lebedev, O. (2001). EDM constraints in supersymmetric theories. Nuclear Physics B, 606(1-2), 151-182. https://doi.org/10.1016/s0550-3213%2801%2900233-4

We systematically analyze constraints on supersymmetric theories imposed by the experimental bounds on the electron, neutron, and mercury electric dipole moments. We critically reappraise the known mechanisms to suppress the EDMs and conclude that on... Read More about EDM constraints in supersymmetric theories.

Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics (2001)
Journal Article
Dorey, P., Dunning, C., & Tateo, R. (2001). Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics. Journal of Physics A: Mathematical and General, 34(28), 5679-5704. https://doi.org/10.1088/0305-4470/34/28/305

The one-dimensional Schrödinger equation for the potential x6 + αx2 + l(l + 1)/x2 has many interesting properties. For certain values of the parameters l and α the equation is in turn supersymmetric (Witten) and quasi-exactly solvable (Turbiner), and... Read More about Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics.

Linearly full harmonic 2-spheres in S^4 of area 20\pi (2001)
Journal Article
Bolton, J., & Woodward, L. (2001). Linearly full harmonic 2-spheres in S^4 of area 20\pi. International Journal of Mathematics, 12(5), 535-554. https://doi.org/10.1142/s0129167x01000915

We give an explicit description of all harmonic 2-spheres of area 20\pi in the round 4-sphere S^4 in terms of their branch points and umbilics. This is obtained by finding canonical forms for the twistor lifts of such maps in complex projective 3-spa... Read More about Linearly full harmonic 2-spheres in S^4 of area 20\pi.