Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass Generation and Related Issues from Exotic Higher Dimensions   The main purpose of this work is to show that massless Dirac equation
formulated for non-interacting Majorana-Weyl spinors in higher dimensions,
particularly in D=1+9 and D=5+5, can lead to an interpretation of massive
Majorana and Dirac spinors in D=1+3. By adopting suitable representations of
the Dirac matrices in higher dimensions, we pursue the investigation of which
higher dimensional space-times and which mass-shell relation concerning
massless Dirac equations in higher dimensions may induce massive spinors in
D=1+3. The mixing of the chiral fermions in higher dimensions may induce a
mechanism such that four massive Majorana fermions may show up and, at an
appropriate limit an almost zero and a huge mass show up with corresponding
left-handed and right-handed eigenstates. This mechanism, in a peculiar way,
could reassess the See-Saw scheme associated to neutrino with Majorana-type
masses. Remarkably the masses of the particles are fixed by the dimension
decoupling/reduction scheme based on the mass Lorentz invariant term, where one
set of the decoupled dimensions are the "target" coordinates frame and the
other set of coordinates is the composing block of the mass term in lower
dimensions. This proposal should allow us to understand the generation of
hierarchies, such as the fourth generation, for the fermionic masses in D=1+3,
or in lower dimensions in general, starting from the constraints between the
energy and the momentum in D=n+n. For the initial D=5+5 Majorana-Weyl spinors
framework using the Weyl representation to the Dirac matrices we observe an
intriguing decomposition of space-time that result in two very equivalent D=1+4
massive spinors which mass term, in D=1+3 included, is originated from the
remained/decoupled component and that could induce a Brane-World mechanism.

28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg