Discrete torsion, nonAbelian orbifolds and the schur multiplier
Oct, 200024 pages
Published in:
- JHEP 01 (2001) 033
e-Print:
- hep-th/0010023 [hep-th]
Report number:
- MIT-CTP-3026
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Abstract:
Armed with the explicit computation of Schur Multipliers, we offer a classification of SU(n) orbifolds for n = 2,3,4 which permit the turning on of discrete torsion. This is in response to the host of activity lately in vogue on the application of discrete torsion to D-brane orbifold theories. As a by-product, we find a hitherto unknown class of N = 1 orbifolds with non-cyclic discrete torsion group. Furthermore, we supplement the status quo ante by investigating a first example of a non-Abelian orbifold admitting discrete torsion, namely the ordinary dihedral group as a subgroup of SU(3). A comparison of the quiver theory thereof with that of its covering group, the binary dihedral group, without discrete torsion, is also performed.- group: SU(N)
- group theory: representation
- orbifold: nonabelian
- torsion: discrete
- membrane model: D-brane
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