Seiberg-Witten Theory and Monstrous Moonshine

Monstrous Moonshine and Monstrous Lie Superalgebras

Invent. Math. 109, 405-444 (1992). Richard E. Borcherds, Department of pure mathematics and mathematical statistics, 16 Mill Lane, Cambridge CB2 1SB, England. We prove Conway and Norton’s moonshine conjectures for the infinite dimensional representation of the monster simple group constructed by Frenkel, Lepowsky and Meurman. To do this we use the no-ghost theorem from string theory to construc...

INTEGRABILITY and SEIBERG-WITTEN THEORY

A summary of results is presented, which provide exact description of the low-energy 4d N = 2 and N = 4 SUSY gauge theories in terms of 1d integrable systems. Departement of Physics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560, Japan. E-mail address: [email protected] 117259, ITEP, Moscow, Russia. E-mail address: [email protected] This conference i...

Three-dimensional Seiberg-Witten theory

1 The Seiberg-Witten Monopoles 2 §1.1 Spinc structures and Dirac operators on 3-manifolds. . . . . . . . . . . . . . . . . . . 2 §1.2 The Seiberg-Witten equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 §1.3 Some concrete computations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 §1.3.1 A vanishing result . . . . . . . . . . . . . . . . . . . . . . . . ...

Seiberg – Witten theory : preliminaries DIRAC

Monstrous and Generalized Moonshine and Permutation Orbifolds

We consider the application of permutation orbifold constructions towards a new possible understanding of the genus zero property in Monstrous and Generalized Moonshine. We describe a theory of twisted Hecke operators in this setting and conjecture on the form of Generalized Moonshine replication formulas.