Zobrazeno 1 - 10
of 32
pro vyhledávání: '"John F. R. Duncan"'
Autor:
Miranda C. N. Cheng, John F. R. Duncan, Sarah M. Harrison, Jeffrey A. Harvey, Shamit Kachru, Brandon C. Rayhaun
Publikováno v:
Journal of High Energy Physics, Vol 2018, Iss 7, Pp 1-29 (2018)
Abstract We show that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in Calabi-Yau threefolds naturally give rise to skew-holomorphic Jacobi forms at rational and attractor points in
Externí odkaz:
https://doaj.org/article/833f653644ac4e4cb6312d532d443e26
Publikováno v:
Nature Communications, Vol 8, Iss 1, Pp 1-5 (2017)
Classifying groups is an important challenge in mathematics and has led to the identification of groups which do not belong to the main families. Here Duncan et al. introduce a type of moonshine which is a connection between these groups, number theo
Externí odkaz:
https://doaj.org/article/f96097cdf5904bf48c9d85490883300a
Autor:
JOHN F. R. DUNCAN, SANDER MACK-CRANE
Publikováno v:
Forum of Mathematics, Sigma, Vol 3 (2015)
We exhibit an action of Conway’s group – the automorphism group of the Leech lattice – on a distinguished super vertex operator algebra, and we prove that the associated graded trace functions are normalized principal moduli, all having vanishi
Externí odkaz:
https://doaj.org/article/5d4b8840b729497ea32c008724b54ccb
Autor:
John F. R. Duncan, David A. McGady
Publikováno v:
Duncan, J F R & McGady, D A 2020, ' Modular forms on the double half-plane ', International Journal of Number Theory, vol. 16, no. 9, pp. 1989-2003 . https://doi.org/10.1142/S179304212050102X
We formulate a notion of modular form on the double half-plane for half-integral weights and explain its relationship to the usual notion of modular form. The construction we provide is compatible with certain physical considerations due to the secon
Autor:
John F. R. Duncan
Publikováno v:
Vertex Operator Algebras, Number Theory and Related Topics. :73-93
The commencement of monstrous moonshine is a connection between the largest sporadic simple group---the monster---and complex elliptic curves. Here we explain how a closer look at this connection leads, via the Thompson group, to recently observed re
Publikováno v:
Progress of Theoretical and Experimental Physics, 2021(8):08B102. Oxford University Press
We propose a correspondence between vertex operator superalgebras and families of sigma models in which the two structures are related by symmetry properties and a certain reflection procedure. The existence of such a correspondence is motivated by p
Autor:
Miranda C. N. Cheng, John F. R. Duncan
Publikováno v:
Advances in Mathematics, 372:107284. Academic Press Inc.
Advances in Mathematics
Advances in Mathematics
We classify the optimal mock Jacobi forms of weight one with rational coefficients. The space they span is thirty-four-dimensional, and admits a distinguished basis parameterized by genus zero groups of isometries of the hyperbolic plane. We show tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00b8e551bab28b9e9149582a1489e4a8
https://dare.uva.nl/personal/pure/en/publications/optimal-mock-jacobi-theta-functions(ead40e28-680a-4251-a0a2-3a6f5abad1f4).html
https://dare.uva.nl/personal/pure/en/publications/optimal-mock-jacobi-theta-functions(ead40e28-680a-4251-a0a2-3a6f5abad1f4).html
Autor:
John F. R. Duncan
Publikováno v:
Partition Functions and Automorphic Forms ISBN: 9783030423995
Moonshine arose in the 1970s as a collection of coincidences connecting modular functions to the monster simple group, which was newly discovered at that time. The effort to elucidate these connections led to new algebraic structures, and fruitful cr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a1171922b548f0416fde4c794b8f3c9
https://doi.org/10.1007/978-3-030-42400-8_1
https://doi.org/10.1007/978-3-030-42400-8_1
Publikováno v:
Communications in Number Theory and Physics, 11(1), 41-72. International Press of Boston, Inc.
In this note, we describe a connection between the enumerative geometry of curves in K3 surfaces and the chiral ring of an auxiliary superconformal field theory. We consider the invariants calculated by Yau--Zaslow (capturing the Euler characters of
Autor:
Miranda C. N. Cheng, John F. R. Duncan
Publikováno v:
Communications in Mathematical Physics
Communications in Mathematical Physics, 370(3), 759-780. Springer New York
Communications in Mathematical Physics, 370(3), 759-780. Springer New York
In this work we consider an association of meromorphic Jacobi forms of half-integral index to the pure D-type cases of umbral moonshine, and solve the module problem for four of these cases by constructing vertex operator superalgebras that realise t