Friendly giant meets pointlike instantons? On a new conjecture by John McKay
- 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 Calabi-Yau threefolds. These Calabi-Yau spaces arise as F-theory duals of point-like 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/F-theory string-string dualities.
| Author: | Anda Degeratu, Katrin WendlandGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-4735 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/595 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2007-37) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Contributing Corporation: | AMS travel grant ; NSF grant DMS-0505767 (AD) ; Nuffield Foundation grant NAL/00755/G (KW) |
| Release Date: | 2007/10/24 |
| Tag: | String-string Dualität String-string duality |
| GND-Keyword: | Calabi-Yau-Mannigfaltigkeit; Indextheorie; Instanton; Anomalie <Quantenfeldtheorie>; Superstringtheorie |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
