Pascalov trokut za binomne koeficijente vjerojatno je najpoznatija takva shema. Njegova konstrukcija, ilustrirana Slikom 1, temelji se na poznatoj rekurziji , gdje su i nenegativni cijeli brojevi. Pascalov trokut za binomne koeficijente ima mnoge zanimljive pravilnosti i primjene. O tome postoje brojni tekstovi, kakvi su primjerice [3], [7] ili [8]. Ovdje govorimo o jednoj njegovoj analogiji ve...

We construct a SU(N) membrane B ∧ F theory with dual pairs of scalar and tensor fields. The moduli space of the theory is precisely that of N M2-branes on the noncompact flat space. The theory possesses explicit SO(8) invariance and is an extension of the maximal SU(N) super-Yang-Mills theory.

207 Admiral Lane, Greer, SC 29650 U.S.A. 1 Abstract We study more extensively and completely for global gauge anomalies with some semisimple gauge groups as initiated in ref.1. A detailed and complete proof or derivation is provided for the Z2 global (nonperturbative) gauge anomaly given in ref.1 for a gauge theory with the semisimple gauge group SU(2)× SU(2)× SU(2) in D = 4 dimensions and Weyl...

The implications of Chiral Quark Model with SU(3) and axial U(1) symmetry breakings as well as configuration mixing generated by one gluon exchange forces (χQMgcm) are discussed in the context of proton flavor and spin structure as well as the hyperon β-decay data. Apart from reproducing the success of χQM with symmetry breaking, it is able to improve upon the agreement with data in several cas...

We study the SU(3) group structure of pentaquark baryons which are made of four quarks and one antiquark. The pentaquark baryons form 1, 8, 10, 10, 27, and 35 multiplets in SU(3) quark model. First, the flavor wave functions of all the pentaquark baryons are constructed in SU(3) quark model and then the flavor SU(3) symmetry relations for the interactions of the pentaquarks with three-quark bar...