We compute the boundary entropies for the allowed boundary conditions of the SU (2)-invariant principal chiral model at level k = 1. We used the reflection factors determined in a previous work. As a by-product we obtain some miscellaneous results such as the ground-state energy for mixed boundary conditions as well as the degeneracies of the Kondo model in the underscreened and exactly screene...

I discuss the physics case of the standard Neutrino Factory facility coupled to an iron detector to exploit the so-called ‘Golden-Channel’. The performance of the facility is impressive, although it is not free from degeneracies arising from a combination of physics and instrumental limitations. Nevertheless, one could explore at great depth the parameter of the leptonic mixing matrix as well a...

We study exact representations for offset curves and surfaces, for equal-distance curves and surfaces, and for fixedand variable-radius blending surfaces. The representations are myekeme of nonlinear equationn that define the curves and surfaces as natural projections from a bigherdimeneional space into &space. We show that the systems derived by-naively trsnalating the geometric constrainb def...

The (exclusion) statistics of parafermions is used to study degeneracies of quasiholes over the paired (or in general clustered) quantum Hall states. Focus is on the Zk and su(3)k/u(1) 2 parafermions, which are used in the description of spin-polarized and spin-singled clustered quantum Hall states.

A SU (4) ⊗ O(3) scheme for nonstrange baryons Abstract. We show that nonstrange baryon resonances can be classified according to multiplets of SU (4)⊗ O(3). We identify spectral regularities and degeneracies that allow us to predict the high spin spectrum from 2 to 3 GeV.

We present a microscopic index formula for the degeneracy of dyons in four-dimensional N = 4 string theory. This counting formula is manifestly symmetric under the duality group, and its asymptotic growth reproduces the macroscopic Bekenstein-Hawking entropy. We give a derivation of this result in terms of the type II five-brane compactified on K3, by assuming that its fluctuations are describe...

Hisakazu Minakata, Hiroshi Nunokawa, Stephen Parke 1 Department of Physics, Tokyo Metropolitan University 1-1 Minami-Osawa, Hachioji, Tokyo 192-0397, Japan [email protected] 2 Instituto de F́ısica Teórica, Universidade Estadual Paulista Rua Pamplona 145, 01405-900 São Paulo, SP Brazil [email protected] 3 Theoretical Physics Department, Fermi National Accelerator Laboratory P.O.Box ...

Symbolic perturbation by innnitely small values removes degeneracies in geometric algorithms and enables programmers to handle only generic cases: there are a few such cases, whereas there are an overwhelming number of degenerate cases. Current perturbation schemes have limitations, presented below. To overcome them, this paper proposes to use an-arithmetic, i.e. to represent in an explicit way...

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...