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Liouville Field, Modular Forms and Elliptic Genera (2007)
Journal Article
Eguchi, T., Sugawara, Y., & Taormina, A. (2007). Liouville Field, Modular Forms and Elliptic Genera. Journal of High Energy Physics, 2007(03), https://doi.org/10.1088/1126-6708/2007/03/119

When we describe non-compact or singular Calabi–Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the modular transformations. In this article, we propose a... Read More about Liouville Field, Modular Forms and Elliptic Genera.

On design-weighted local fitting and its relation to the Horvitz-Thompson estimator (2007)
Journal Article
Einbeck, J., & Augustin, T. (2007). On design-weighted local fitting and its relation to the Horvitz-Thompson estimator. Statistica sinica, 19(1), 103-123

Weighting is a widely used concept in many fields of statistics and has frequently caused controversies on its justification and benefit. In this paper, we analyze design-weighted versions of the well-known local polynomial regression estimators, der... Read More about On design-weighted local fitting and its relation to the Horvitz-Thompson estimator.

The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring. (2007)
Journal Article
Arutyunov, G., Frolov, S., Plefka, J., & Zamaklar, M. (2007). The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring. Journal of Physics A: Mathematical and Theoretical, 40(13), https://doi.org/10.1088/1751-8113/40/13/018

We analyse the psu(2, 2|4) supersymmetry algebra of a superstring propagating in the AdS5 × S5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-... Read More about The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring..

The Complex Sine-Gordon Model on a Half-line (2007)
Journal Article
Bowcock, P., & Tzamtzis, G. (2007). The Complex Sine-Gordon Model on a Half-line. Journal of High Energy Physics, 2007(03), Article 047. https://doi.org/10.1088/1126-6708/2007/03/047

In this paper, we examine the complex sine-Gordon model in the presence of a boundary, and derive boundary conditions that preserve integrability. We present soliton and breather solutions, investigate the scattering of particles and solitons off the... Read More about The Complex Sine-Gordon Model on a Half-line.

Groupoids, von Neumann algebras and the integrated density of states (2007)
Journal Article
Lenz, D., Veselic, I., & Peyerimhoff, N. (2007). Groupoids, von Neumann algebras and the integrated density of states. Mathematical Physics, Analysis and Geometry, 10(1), 1-41. https://doi.org/10.1007/s11040-007-9019-2

We study spectral properties of random operators in the general setting of groupoids and von Neumann algebras. In particular, we establish an explicit formula for the canonical trace of the von Neumann algebra of random operators and define an abstra... Read More about Groupoids, von Neumann algebras and the integrated density of states.

Rotating spacetimes with a cosmological constant (2007)
Journal Article
Charmousis, C., Langlois, D., Steer, D., & Zegers, R. (2007). Rotating spacetimes with a cosmological constant. Journal of High Energy Physics, 2007(02), https://doi.org/10.1088/1126-6708/2007/02/064

We develop solution-generating techniques for stationary metrics with one angular momentum and axial symmetry, in the presence of a cosmological constant and in arbitrary spacetime dimension. In parallel we study the related lower dimensional Einstei... Read More about Rotating spacetimes with a cosmological constant.

Nonparametric predictive comparison of proportions (2007)
Journal Article
Coolen, F., & Coolen-Schrijner, P. (2007). Nonparametric predictive comparison of proportions. Journal of Statistical Planning and Inference, 137(1), 23-33. https://doi.org/10.1016/j.jspi.2005.11.008

We use the lower and upper predictive probabilities from Coolen [1998. Low structure imprecise predictive inference for Bayes’ problem. Statist. Probab. Lett. 36, 349–357] to compare future numbers of successes in Bernoulli trials for different group... Read More about Nonparametric predictive comparison of proportions.

Dynamical properties of a Soliton in a Potential Well (2007)
Journal Article
Piette, B., & Zakrzewski, W. (2007). Dynamical properties of a Soliton in a Potential Well. Journal of Physics A: Mathematical and Theoretical, 40(2), 329-346. https://doi.org/10.1088/1751-8113/40/2/011

We analyse the scattering of a two-dimensional soliton on a potential well. We show that this soliton can pass through the well, bounce back or become trapped and we study the dependence of the critical velocity on the width and the depth of the well... Read More about Dynamical properties of a Soliton in a Potential Well.

SUSY breaking by a metastable ground state: Why the early universe preferred the non-supersymmetric vacuum (2007)
Journal Article
Abel, S. A., Chu, C., Jaeckel, J., & Khoze, V. V. (2007). SUSY breaking by a metastable ground state: Why the early universe preferred the non-supersymmetric vacuum. Journal of High Energy Physics, 2007(01), https://doi.org/10.1088/1126-6708/2007/01/089

Supersymmetry breaking in a metastable vacuum is re-examined in a cosmological context. It is shown that thermal effects generically drive the Universe to the metastable minimum even if it begins in the supersymmetry-preserving one. This is a generic... Read More about SUSY breaking by a metastable ground state: Why the early universe preferred the non-supersymmetric vacuum.