A. B. Balantekin, J. H. de Jesus, and Y. Pehlivan Department of Physics, University of Wisconsin Madison, Wisconsin 53706 USA (Dated: February 20, 2007) We apply the algebraic Bethe ansatz technique to the nuclear pairing problem with orbit dependent coupling constants and degenerate single particle energy levels. We find the exact energies and eigenstates. We show that for a given shell, there...

Finding the exact, quantum corrected metric on the hypermultiplet moduli space in Type II string compactifications on Calabi-Yau threefolds is an outstanding open problem. We address this issue by relating the quaternionic-Kähler metric on the hypermultiplet moduli space to the complex contact geometry on its twistor space. In this framework, Euclidean D-brane instantons are captured by contact...

W e quantify the observation by Kender and Freudenstein [6] that degenerate views occupy a significant fraction of the viewing sphere surrounding an object. This demonstrates that systems for recognition must explicitly account f o r the possibility of view degeneracy. W e show that view degeneracy cannot be detected f rom a single camera viewpoint. As a result, systems designed to recognize ob...

Over the past few years the understanding of the microscopic theory of black hole entropy has made important conceptual progress by recognizing that the degeneracies are encoded in partition functions which are determined by higher rank automorphic representations, in particular in the context of Siegel modular forms of genus two. In this brief review some of the elements of this framework are ...

As generalizations of the seniority model, four Hamiltonians are considered to investigate some of the physics associated with the pairing of parafermions of order p = 2. 2-particle and 4-particle states are explicitly constructed for HA ≡ −G A†A with A† ≡ 1 2 ∑ m>0 c † mc † −m and the distinct HC ≡ −G C†C with C† ≡ 1 2 ∑ m>0 c † −mc † m, and for the time-reversal invariant H(−) ≡ −G (A† − C†)(...