175,283 research outputs found

    2A-orbifold construction and the baby-monster vertex operator superalgebra

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    In this article we prove that the full automorphism group of the baby-monster vertex operator superalgebra constructed by Hoehn is isomorphic to 2xB, where B is the baby-monster sporadic finite simple group and determine irreducible modules for the baby-monster vertex operator algebra. Our result has many corollaries. In particular, we can prove that the Z_2-orbifold construction with respect to a 2A-involution of the Monster applied to the moonshine vertex operator algebra yields the moonshine vertex operator algebra itself again.Comment: v2: Knowing Tuite's work on 2A-orbifold construction of the moonshine vertex operator algebra, we made a remark on it and revised reference

    Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module

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    We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order p=2,3,5,7p=2,3,5,7 and the other of order pkpk for k=1k=1 or kk prime. We show that constraints arising from meromorphic orbifold conformal field theory allow us to demonstrate that each orbifold partition function with rational coefficients is either constant or is a hauptmodul for an explicitly found modular fixing group of genus zero. We thus confirm in the cases considered the Generalised Moonshine conjectures for all rational modular functions for the Monster centralisers related to the Baby Monster, Fischer, Harada-Norton and Held sporadic simple groups. We also derive non-trivial constraints on the possible Monster conjugacy classes to which the elements of the orbifolding abelian group may belong.Comment: 40 pages, Improved versio

    Duterte: Philippines ’ Monstrous Leader?!

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    From his long years of experience as a local executive until he was ushered into the presidency, Duterte was able to master the masses’ longings. He understands what the public expects in a leader-- gathered from information he collected in unorthodox fashion. He plunges into the grassroots even (at times) resorting to disguises; and sometimes he maintains his own intelligence group that feeds him necessary information. The shock that he generates in all corners, factions, sectors and even countries would qualify him (perhaps) to be the unnamed monster that can disrupt the realm of Philippine politics. But despite his monstrous image, quite surprisingly, Duterte remains popular and appealing to the electorate. This essay foregrounds the ambivalent monster that the Philippine president wittingly or unwittingly assumes; a monster that is ready to devour victims while protecting those he (supposedly) loves. The essay argues that Duterte is a monster that represents a rapture—a kind of abrupt transition. He represents a monster leader that does not care about the elite’s and traditional pundits’ definition of a leader. He represents a leader that is hindi-iba (sa masa) but at the same time iba sa marami (trapo/traditional politicians)
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