563 research outputs found
Note on the space group selection rule for closed strings on orbifolds
It is well-known that the space group selection rule constrains the
interactions of closed strings on orbifolds. For some examples, this rule has
been described by an effective Abelian symmetry that combines with a
permutation symmetry to a non-Abelian flavor symmetry like or
. However, the general case of the effective Abelian symmetries was
not yet fully understood. In this work, we formalize the computation of the
Abelian symmetry that results from the space group selection rule by imposing
two conditions only: (i) well-defined discrete charges and (ii) their
conservation. The resulting symmetry, which we call the space group flavor
symmetry , is uniquely specified by the Abelianization of the space group.
For all Abelian orbifolds with supersymmetry we compute and
identify new cases, for example, where contains a dark
matter-parity with charges 0 and 1 for massless and massive strings,
respectively.Comment: 28 pages, 1 tabl
Mirage Torsion
Z_NxZ_M orbifold models admit the introduction of a discrete torsion phase.
We find that models with discrete torsion have an alternative description in
terms of torsionless models. More specifically, discrete torsion can be 'gauged
away' by changing the shifts by lattice vectors. Similarly, a large class of
the so-called generalized discrete torsion phases can be traded for changing
the background fields (Wilson lines) by lattice vectors. We further observe
that certain models with generalized discrete torsion are equivalent to
torsionless models with the same gauge embedding but based on different
compactification lattices. We also present a method of classifying heterotic
Z_NxZ_M orbifolds.Comment: 26 pages, 3 figures, v2: matches version published in JHE
The Flavor Puzzle: Textures and Symmetries
We discuss aspects of a promising top-down origin of flavor symmetries in
particle physics. Modular transformations originating from string theory
dualities are shown to play a crucial role. We introduce the notion of an
"eclectic" flavor scheme that unifies traditional flavor symmetries, modular
symmetries and CP-transformations. It exhibits the phenomenon of "Local Flavor
Unification" with enhanced flavor symmetries at fixed points or lines in moduli
space. Successful fits of masses and mixing angles of quarks and leptons are
found in the vicinity of these points and lines.Comment: 14 pages, 10 figures; contribution to the "Memorial volume with World
Scientific in honor of Harald Fritzsch
A note on discrete R symmetries in Z6-II orbifolds with Wilson lines
We re-derive the R symmetries for the Z6-II orbifold with non-trivial Wilson
lines and find expressions for the R charges which differ from those in the
literature.Comment: 13 pages, 3 figure
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