It is demonstrated that the extended technicolor model proposed recently by Appelquist and Terning has pair of potentially light U(1) Goldstone bosons coupling to ordinary matter with strength 2mf Fπ , where mf is the mass of the fermion and Fπ ≈ 125GeV. These Goldstone bosons could get a mass if the spontaneously broken U(1) symmetries are also explicitly broken, by physics beyond that specifi...

We construct in a manifestly supersymmetric form the leading and subleading terms in momentum for an effective supersymmetric chiral Lagrangian in terms of complex pions and their superpartners. A soft supersymmetry breaking term is included and below the super-symmetry breaking scale the Lagrangian reduces to the usual bosonic chiral Lagrangian in terms of real pions.

In this paper we study the coupled integrable dispersionless system (CIDS), which arises in the analysis of several problems in applied mathematics and physics. Lie symmetry analysis is performed on CIDS and symmetry reductions and exact solutions with the aid of simplest equation method are obtained. In addition, the conservation laws of the CIDS are also derived using the multiplier (and homo...

We review the mechanism of radiative electroweak symmetry breaking taking place in SUSY versions of the standard model. We further discuss different proposals for the origin of SUSY-breaking and the corresponding induced SUSY-breaking soft terms. Several proposals for the understanding of the little hierarchy problem are critically discussed.

Conformal blocks form a system of vector bundles over the moduli space of complex curves with marked points. We discuss various aspects of these bundles. In particular, we present conjectures about the dimensions of sub-bundles. They imply a Verlinde formula for non-simply connected groups like PGL(n, C). We then explain how conformal blocks enter in the construction of conformal field theories...

In this paper we show that all binomial identities are orderable. This is a natural statement from the combinatorial theory of finite sets which additionally has applications in distributed computing. Specifically, we are able to obtain new strong bounds on the round complexity of the weak symmetry breaking task. 1. Preliminaries For any natural number n, we set [n] := {1, . . . , n}. Definitio...

We study the effect of representation mixing in the SU(3) Skyrme model by diagonalizing exactly the representation-dependent part. It is observed that even without the next-to-leading order symmetry breaking terms the low-lying baryon masses as well as the recently discovered Θ and Ξ1̄0 can be fairly well reproduced within 3% accuracy. It is also demonstrated that the mixing effect is not neglig...

We demonstrate the existence of two-field Q-ball solutions of the scalar field equations of supersymmetric Dand F-term hybrid inflation. The solutions consist of a complex inflaton field together with a real symmetry breaking field. Such inflatonic Q-balls may play a fundamental role in reheating and the postinflation era of supersymmetric hybrid inflation models. [email protected] mcdonald@...