Non-trivial Su(n) Instantons and Exotic Skyrmions
نویسنده
چکیده
The classical Yang-Mills equations are solved for arbitrary semi-simple gauge groups in the Schwinger-Fock gauge. A new class of SU(N) instantons is presented which are not embeddings of SU(N-1) instantons but have non-trivial SU(N) color structure and carry winding number n = N (N 2 − 1)/6. Explicit configurations are given for SU(3) and SU(4) gauge groups. By means of the Atiyah Manton procedure Skyrmion fields are constructed from the SU(N) instantons. These Skyrmions represent exotic baryon states.
منابع مشابه
The Exact MSSM Spectrum from String Theory
We show the existence of realistic vacua in string theory whose observable sector has exactly the matter content of the MSSM. This is achieved by compactifying the E8 ×E8 heterotic superstring on a smooth Calabi-Yau threefold with an SU(4) gauge instanton and a Z3 ×Z3 Wilson line. Specifically, the observable sector is N = 1 supersymmetric with gauge group SU(3)C × SU(2)L ×U(1)Y ×U(1)B−L, three...
متن کاملSkyrmions from instantons inside domain walls.
Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory. The non-Abelian gauge symmetry is broken in each vacuum but restored in the core of the domain wall, allowing instantons to nestle inside the wall. We show ...
متن کاملThe large N limit of N = 2 super Yang - Mills , fractional instantons and infrared divergences
We investigate the large N limit of pure N = 2 supersymmetric gauge theory with gauge group SU(N) by using the exact low energy effective action. Typical onecomplex dimensional sections of the moduli space parametrized by a global complex mass scale v display three qualitatively different regions depending on the ratio between |v| and the dynamically generated scale Λ. At large |v|/Λ, instanton...
متن کاملDifferential and topological problems in modern theoretical physics
s of the minicourses Kenichi Konishi — Università di Pisa Advent of non-Abelian vortices Generalizing the well-known Abrikosov-Nielsen-Olesen vortex solution in the Abelian Higgs model to non-Abelian gauge theories, vortex solutions carrying continuous zeromodes (vortex moduli space) were constructed in the year 2003 inspired by supersymmetric SU(N) gauge theories, triggering an intense researc...
متن کاملFrom vortices to instantons on the Euclidean Schwarzschild manifold
The first irreducible solution of the SU(2) self-duality equations on the Euclidean Schwarzschild (ES) manifold was found by Charap and Duff in 1977, only 2 years later than the famous BPST instantons on R were discovered. While soon after, in 1978, the ADHM construction gave a complete description of the moduli spaces of instantons on R, the case of the Euclidean Schwarzschild manifold has res...
متن کامل