부산대학교 도서관

This talk discusses the achievements of the {\it spin-charge-family} theory. The project started in the year 1993 when trying to understand the internal spaces of fermions and bosons with the Grassmann algebra. Recognizing that the Grassmann algebra suggests the existence of the anticommuting fermion states with the integer spin (and commuting boson states with integer spin) and that Grassmann algebra is expressible with two kinds of the Clifford algebras, both offering a description of the anticommuting half spin fermion states, it became obvious that the Clifford odd algebra (the superposition of odd products of $\gamma^a$) offers a way for describing the internal spaces for fermions, while $\tilde{\gamma}^a$ can be chosen to determine quantum numbers of families of fermions. Three years ago, it become evident that the Clifford even algebra (the superposition of even products of $\gamma^a$) offers a way to describe the internal spaces of the corresponding boson gauge fields. In odd dimensional spaces the properties of the internal space of fermions and bosons differ essentially from those in even dimensional spaces, manifesting as the Fadeev-Popov ``ghosts''. Can the {\it spin-charge-family} theory, extending the point fields to strings, be related to {\it string theories}?
Comment: 39 pages, 4 figures, 26th Bled workshop "Whatcomes Beyond the Standard Models". arXiv admin note: text overlap with arXiv:2306.17167, arXiv:2210.07004