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Conformal embeddings of affine vertex algebras in minimal W-algebras II: decompositions

11/09/2017 Rafael Mrđen 0

Authors: Dražen Adamović, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše Japanese Journal of Mathematics, September 2017, Volume 12, Issue 2, pp 261–315. Abstract: We present methods for computing the explicit decomposition of the minimal simple affine W-algebra  as a module for its maximal affine subalgebra  at a conformal level k, that is, whenever the Virasoro vectors of  and  coincide. A particular emphasis […]

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There Are Infinitely Many Rational Diophantine Sextuples

18/03/2017 Rafael Mrđen 0

A rational Diophantine m-tuple is a set of m non zero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple was found by Diophantus, while Euler proved that there are infinitely many rational Diophantine quintuples. In 1999, […]

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On Free Field Realizations of W(2,2)-Modules

06/12/2016 Rafael Mrđen 0

Abstract The aim of the paper is to study modules for the twisted Heisenberg-Virasoro algebra  at level zero as modules for the -algebra by using construction from [J. Pure Appl. Algebra 219(2015), 4322-4342, arXiv:1405.1707]. We prove that the irreducible highest weight -module is irreducible as -module if and only if it has […]