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pro vyhledávání: '"Michael P. Tuite"'
Autor:
Michael P. Tuite
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 008 (2007)
We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series of simple Lie groups and som
Externí odkaz:
https://doaj.org/article/3cbf4f9585c641d18cb824319ca20574
The theory of'Monstrous Moonshine'has been a major development in mathematics since 1979. Beginning with remarkable conjectures relating finite group theory and number theory that stimulated an outpouring of new ideas,'Monstrous Moonshine'deeply invo
Autor:
Michael P. Tuite
Publikováno v:
Lie Groups, Number Theory, and Vertex Algebras. :321-342
We compute the partition and correlation generating functions for the Heisenberg intertwiner generalized vertex operator algebra on a genus $g$ Riemann surface in the Schottky uniformization. These are expressed in terms of differential forms of the
Publikováno v:
Transactions of the American Mathematical Society
We establish precise Zhu reduction formulas for Jacobi $n$-point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly regular vertex operator al
Publikováno v:
Contemporary Mathematics ISBN: 9781470449384
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38a71999870c5fdfcfc32fb313c25e84
https://doi.org/10.1090/conm/753
https://doi.org/10.1090/conm/753
We develop criteria to decide if an $N=2$ or $N=4$ super conformal algebra is a subalgebra of a super vertex operator algebra in general, and of a super lattice theory in particular. We give some specific examples.
Comment: The assumptions of Th
Comment: The assumptions of Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffc9a2cf48105e725f173a368b524c89
Publikováno v:
Communications in Mathematical Physics. 283:305-342
We consider genus one n-point functions for a vertex operator superalgebra with a real grading. We compute all n-point functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, we obtain all orbifold n-p
Autor:
Geoffrey Mason, Michael P. Tuite
Publikováno v:
Lie Algebras, Vertex Operator Algebras and Their Applications. :401-410
Autor:
Hoang Dinh Van, Michael P. Tuite
Publikováno v:
Developments and Retrospectives in Lie Theory ISBN: 9783319098036
We consider exceptional vertex operator algebras and vertex operator superalgebras with the property that particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendents of the vacuum. We show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49d0964bb3bbe83912e26323d42c1b15
http://hdl.handle.net/10379/15099
http://hdl.handle.net/10379/15099
Autor:
Michael P. Tuite
We consider a number of generalizations of the $\beta$-extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations or derangements over matrix
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dbf3bda6c6d869b16f0a8f336269a0f
http://arxiv.org/abs/1111.4047
http://arxiv.org/abs/1111.4047