Moonshine - The First Quarter Century and Beyond : Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras
James. Lepowsky
Bok Engelsk 2010 · Electronic books.
| Annen tittel | |
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| Utgitt | Cambridge : Cambridge University Press , 2010
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| Omfang | 1 online resource (417 p.)
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| Opplysninger | Description based upon print version of record.. - Cover; Half-title; Title; Copyright; Contents; Preface; Schedule of Talks; Monday 5 July; Tuesday 6 July; Wednesday 7 July; Thursday 8 July; Friday 9 July; Saturday 10 July; Monday 12 July; Tuesday 13 July; Characters of Crossed Modules and Premodular Categories; Abstract; 1. Introduction; 2. Crossed modules; 3. The category; 4. Characters; 5. The S matrix and the structure of the vacuum; 6. Discussion; References; On the Injectivity of the Kudla-Millson Lift and Surjectivity of the Borcherds Lift; Abstract; 1. Introduction; 1.1. Surjectivity of the Borcherds lift. - 2. Theta functions and the Siegel-Weil formula3. Special Schwartz forms; 4. The norm of the theta lift; References; Ordered Spanning Sets for Vertex Operator Algebras and their Modules; Abstract; 1. Introduction; 2. Vertex operator algebras and quotient spaces; 3. Modules; 4. Complete reducibility; 5. Spanning sets for algebras and modules; 6. Finiteness Results; References; Friendly Giant Meets Pointlike Instantons? On a New Conjecture by John McKay; Abstract; 1. Introduction; Acknowledgements; 2. Vocabulary from heterotic and type IIA theories; 2.1. Massless spectra in D = 10. - 2.2. Compactification2.2.1. Compactification to D = 6; 2.2.2. Compactification to D = 4; 3. Anomalies; 3.1. Gravitational and gauge anomalies; 3.2. Anomaly cancellation; 3.2.1. Anomaly free heterotic E8 × E8 theories in D = 10 dimensions; 3.2.2. Anomaly free heterotic E8 × E8 theories in D = 6 dimensions; 3.3. Examples; 3.3.1. Completely broken gauge group; 3.3.2. Unbroken E8 gauge group; 3.3.3. Unbroken E7 gauge group; 3.3.4. Unbroken E6 gauge group; 3.3.5. Unbroken F4 gauge group; 4. Heterotic - type IIA and F-theory duality; 4.1. The heterotic - type IIA duality; 4.2. The F-theory limit. - 3. Heisenberg vertex operator algebra and its twisted modules. - 5. F-theory on elliptically fibered Calabi-Yau 3-folds5.1. Some invariants of elliptically fibered Calabi-Yau 3-folds; 5.2. Charged matter; 5.2.1. Families of degenerate fibers yielding new vectormultiplets; 5.2.2. Colliding degenerate fibers yielding charged hypermultiplets; 5.3. Examples; 5.3.1. Completely broken gauge group; 5.3.2. Unbroken E8 gauge group; 5.3.3. Unbroken E7 gauge group; 5.3.4. Unbroken E6 gauge group; 5.3.5. Unbroken F4 gauge group; 5.3.6. Unbroken Spin(10) gauge group; 5.3.7. 24 pointlike instantons on singularities of type E8, E7, or E6; 6. Conclusions. - A. Rarita-Schwinger fieldsB. Characteristic classes and properties of K3 surfaces; References; Modularity of Trace Functions in Orbifold Theory for Z-Graded Vertex Operator Superalgebras; Abstract; 1. Introduction; 2. Z-graded vertex operator superalgebras; 3. The associative algebra Ag(V); 4. Modularity of trace functions; 5. An example; References; Twisted Modules for Vertex Operator Algebras; Abstract; 1. Introduction; 2. Vertex operator algebras, untwisted modules and twisted modules; 2.1. Vertex operator algebras and untwisted modules; 2.2. Twisted modules for vertex operator algebras. - Examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 9780521106641
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