Search Results - "DUNCAN, JOHN F. R."

THE MOONSHINE MODULE FOR CONWAY’S GROUP by DUNCAN, JOHN F. R., MACK-CRANE, SANDER

“…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…”
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Pariah moonshine by Duncan, John F. R., Mertens, Michael H., Ono, Ken

“…Finite simple groups are the building blocks of finite symmetry. The effort to classify them precipitated the discovery of new examples, including the monster,…”
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Attractive strings and five-branes, skew-holomorphic Jacobi forms and moonshine by Cheng, Miranda C. N., Duncan, John F. R., Harrison, Sarah M., Harvey, Jeffrey A., Kachru, Shamit, Rayhaun, Brandon C.

“…A bstract We show that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in Calabi-Yau…”
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Meromorphic Jacobi Forms of Half-Integral Index and Umbral Moonshine Modules by Cheng, Miranda C. N., Duncan, John F. R.

“…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…”
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Mathieu moonshine and N = 2 string compactifications by Cheng, Miranda C; N, Dong, Xi, Duncan, John F; R, Harvey, Jeffrey A, Kachru, Shamit, Wrase, Timm

“…(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) Abstract There is a 'Mathieu moonshine' relating the elliptic genus of K3 to the…”
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Umbral moonshine and the Niemeier lattices by Cheng, Miranda CN, Duncan, John FR, Harvey, Jeffrey A

“…In this paper, we relate umbral moonshine to the Niemeier lattices - the 23 even unimodular positive-definite lattices of rank 24 with non-trivial root…”
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Moonshine by Duncan, John FR, Griffin, Michael J, Ono, Ken

“…Monstrous moonshine relates distinguished modular functions to the representation theory of the Monster . The celebrated observations that 1 = 1 , 196884 = 1 +…”
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Mock modular Mathieu moonshine modules by Cheng, Miranda C N, Dong, Xi, Duncan, John F R, Harrison, Sarah, Kachru, Shamit, Wrase, Timm

“…We construct super vertex operator algebras which lead to modules for moonshine relations connecting the four smaller sporadic simple Mathieu groups with…”
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Super Vertex Algebras, Meromorphic Jacobi Forms and Umbral Moonshine by Duncan, John F. R, O'Desky, Andrew

“…J. Algebra. 515 (2018) 389-407 The vector-valued mock modular forms of umbral moonshine may be repackaged into meromorphic Jacobi forms of weight one. In this…”
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Mathieu moonshine and string compactifications by Cheng, Miranda C. N., Dong, Xi, Duncan, John F. R., Harvey, Jeffrey A., Kachru, Shamit, Wrase, Timm

“…A bstract There is a ‘Mathieu moonshine’ relating the elliptic genus of K 3 to the sporadic group M 24 . Here, we give evidence that this moonshine extends to…”
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Pariah moonshine by Duncan, John F. R, Mertens, Michael H, Ono, Ken

“…Nature Communications 8(1) (2017) Finite simple groups are the building blocks of finite symmetry. The effort to classify them precipitated the discovery of…”
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Self-Dual Vertex Operator Superalgebras and Superconformal Field Theory by Creutzig, Thomas, Duncan, John F. R, Riedler, Wolfgang

“…Recent work has related the equivariant elliptic genera of sigma models with K3 surface target to a vertex operator superalgebra that realizes moonshine for…”
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Attractive Strings and Five-Branes, Skew-Holomorphic Jacobi Forms and Moonshine by Cheng, Miranda C. N, Duncan, John F. R, Harrison, Sarah M, Harvey, Jeffrey A, Kachru, Shamit, Rayhaun, Brandon C

“…We show that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in Calabi--Yau threefolds…”
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Weight One Jacobi Forms and Umbral Moonshine by Cheng, Miranda C. N, Duncan, John F. R, Harvey, Jeffrey A

“…We analyze holomorphic Jacobi forms of weight one with level. One such form plays an important role in umbral moonshine, leading to simplifications of the…”
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Proof of the umbral moonshine conjecture by Duncan, John F. R., Griffin, Michael J., Ono, Ken

“…The Umbral Moonshine Conjectures assert that there are infinite-dimensional graded modules, for prescribed finite groups, whose McKay–Thompson series are…”
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Class numbers, cyclic simple groups, and arithmetic by Cheng, Miranda C. N., Duncan, John F. R., Mertens, Michael H.

“…Here, we initiate a program to study relationships between finite groups and arithmetic–geometric invariants in a systematic way. To do this, we first…”
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Modular Products and Modules for Finite Groups by Duncan, John F. R., Harvey, Jeffrey A., Rayhaun, Brandon C.

“…Motivated by the appearance of penumbral moonshine, and by evidence that penumbral moonshine enjoys an extensive relationship to generalized monstrous…”
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The Umbral Moonshine Module for the Unique Unimodular Niemeier Root System by Duncan, John F. R, Harvey, Jeffrey A

“…Alg. Number Th. 11 (2017) 505-535 We use canonically-twisted modules for a certain super vertex operator algebra to construct the umbral moonshine module for…”
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The Jack Daniels problem by Duncan, John F.R., Ono, Ken

“…In 1975 Ogg offered a bottle of Jack Daniels for an explanation of the fact that the prime divisors of the order of the monster M are the primes p for which…”
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Derived equivalences of K3 surfaces and twined elliptic genera by Duncan, John F. R., Mack-Crane, Sander

“…We use the unique canonically twisted module over a certain distinguished super vertex operator algebra—the moonshine module for Conway’s group—to attach a…”
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