Zobrazeno 1 - 10
of 294
pro vyhledávání: '"Gannon, T."'
Autor:
Gaberdiel, M. R., Gannon, T.
In his landmark paper, Zhu associated two associative algebras to a vertex operator algebra: what are now called Zhu's algebra and the C_2-algebra. The former has a nice interpretation in terms of the representation theory of the VOA, while the latte
Externí odkaz:
http://arxiv.org/abs/0811.3892
Autor:
Gannon, T.
Rational conformal field theories produce a tower of finite-dimensional representations of surface mapping class groups, acting on the conformal blocks of the theory. We review this formalism. We show that many recent mathematical developments can be
Externí odkaz:
http://arxiv.org/abs/0710.1329
Autor:
Gannon, T.
A geometric interpretation and generalisation for the Galois action on finite group character tables is sketched. The generalisation is a Galois action on the space Map_G(G^n,\bar{Q})/S_n for each finite G, where G acts by simultaneous conjugation on
Externí odkaz:
http://arxiv.org/abs/0710.1328
Autor:
Bantay, P., Gannon, T.
A general theory of vector-valued modular functions, holomorphic in the upper half-plane, is presented for finite dimensional representations of the modular group. This also provides a description of vector-valued modular forms of arbitrary half-inte
Externí odkaz:
http://arxiv.org/abs/0705.2467
Autor:
Gannon, T.
The Conway--Norton conjectures unexpectedly related the Monster with certain special modular functions (Hauptmoduls). Their proof by Borcherds et al was remarkable for demonstrating the rich mathematics implicit there. Unfortunately Moonshine remaine
Externí odkaz:
http://arxiv.org/abs/math/0512248
Autor:
Bantay, P., Gannon, T.
Publikováno v:
JHEP0602:005,2006
A general procedure is presented to determine, given any suitable representation of the modular group, the characters of all possible Rational Conformal Field Theories whose associated modular representation is the given one. The relevant ideas and m
Externí odkaz:
http://arxiv.org/abs/hep-th/0512011
Autor:
Gannon, T.
Twenty-five years ago, Conway and Norton published their remarkable paper `Monstrous Moonshine', proposing a completely unexpected relationship between finite simple groups and modular functions. This paper reviews the progress made in broadening and
Externí odkaz:
http://arxiv.org/abs/math/0402345
Autor:
Gannon, T.
Publikováno v:
Nucl.Phys.B670:335-358,2003
As is well-known, nonunitary RCFTs are distinguished from unitary ones in a number of ways, two of which are that the vacuum 0 doesn't have minimal conformal weight, and that the vacuum column of the modular S matrix isn't positive. However there is
Externí odkaz:
http://arxiv.org/abs/hep-th/0305070
Autor:
Gannon, T.
In 1978, John McKay made an intriguing observation: 196884=196883+1. Monstrous Moonshine is the collection of questions (and a few answers) inspired by this observation. Like moonlight itself, Moonshine is an indirect phenomenon. Just as in the theor
Externí odkaz:
http://arxiv.org/abs/math/0109067
Autor:
Gannon, T.
Publikováno v:
Nucl.Phys. B627 (2002) 506-564
To an RCFT corresponds two combinatorial structures: the amplitude of a torus (the 1-loop partition function of a closed string, sometimes called a modular invariant), and a representation of the fusion ring (called a NIM-rep or equivalently a fusion
Externí odkaz:
http://arxiv.org/abs/hep-th/0106105