6 research outputs found
Operator analysis of physical states on magnetized orbifolds
We discuss an effective way for analyzing the system on the magnetized
twisted orbifolds in operator formalism, especially in the complicated cases
, and . We can obtain the exact and
analytical results which can be applicable for any larger values of the
quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms
are generated via our formalism and the number of the surviving physical states
are calculable in a rigorous manner by simply following usual procedures in
linear algebra in any case. Our approach is very powerful when we try to
examine properties of the physical states on (complicated) magnetized orbifolds
, , (and would be in other cases on
higher-dimensional torus) and could be an essential tool for actual realistic
model construction based on these geometries.Comment: 41 pages, 1 figur
Classification of three-generation models on magnetized orbifolds
We classify the combinations of parameters which lead three generations of
quarks and leptons in the framework of magnetized twisted orbifolds on
, , and with allowing nonzero discretized
Wilson line phases and Scherk-Schwarz phases. We also analyze two actual
examples with nonzero phases leading to one-pair Higgs and five-pair Higgses
and discuss the difference from the results without nonzero phases studied
previously.Comment: 28 pages (main body and references) + 65 pages (full list of
classification), 22 tables (v1); typos corrected, problem in sentence fixed
(v2