100,124 research outputs found

    Enhanced Gauge Symmetry in M(atrix) Theory

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    We discuss the origin of enhanced gauge symmetry in ALE (and K3) compactification of M theory, either defined as the strong coupling limit of the type IIa superstring, or as defined by Banks et al. In the D-brane formalism, wrapped membranes are D0 branes with twisted string boundary conditions, and appear on the same footing with the Kaluza-Klein excitations of the gauge bosons. In M(atrix) theory, the construction appears to work for arbitrary ALE metric.Comment: 10 pp, harvma

    Environmental Law and Democratic Legitimacy

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    Law Firm Management and Professional Responsibility

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    A Brief Retrospective Look at the Cayley-Purser Public-key Cryptosystem, 19 Years Later

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    The purpose of this paper is to describe and analyze the Cayley-Purser algorithm, which is a public-key cryptosystem proposed by Flannery in 1999. I will present two attacks on it, one of which is apparently new. I will also examine a variant of the Cayley-Purser algorithm that was patented by Slavin in 2008, and show that it is also insecure.Comment: submitted for publicatio
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