Math @ Duke

Publications [#46036] of Anda Degeratu
Papers Submitted
 A. Degeratu and K. Wendland, Friendly giant meets pointlike instantons? On a new conjecture by John McKay,
to appear in LMS Lecture Notes Series (59 pages)
(February, 2006)
(last updated on 2006/02/23)
Abstract: A new conjecture due to John McKay claims
that there exists a link
between (1) the conjugacy classes of the
Monster sporadic group and
its offspring, and (2) the Picard groups of
bases in certain
elliptically fibered CalabiYau threefolds.
These CalabiYau spaces
arise as Ftheory duals of pointlike
instantons on ADE type
quotient singularities. We believe that this
conjecture, may it be
true or false, connects the Monster with a
fascinating area of
mathematical physics which is yet to be fully
explored and exploited
by mathematicians. This article aims to
clarify the statement of
McKay's conjecture and to embed it into the
mathematical context of
heterotic/Ftheory stringstring dualities.


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Duke University, Box 90320
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