A Borcherds-Kac-Moody superalgebra with Conway symmetry
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Publication:2323511
DOI10.1007/s00220-019-03518-0zbMath1476.81097arXiv1803.10798OpenAlexW3102132808WikidataQ127445266 ScholiaQ127445266MaRDI QIDQ2323511
Roberto Volpato, Natalie M. Paquette, Sarah M. Harrison
Publication date: 3 September 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10798
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Topology and geometry of orbifolds (57R18) Root systems (17B22)
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Cites Work
- Unnamed Item
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- Umbral moonshine and the Niemeier lattices
- Derived equivalences of K3 surfaces and twined elliptic genera
- Mock modular Mathieu moonshine modules
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Rademacher sums, moonshine and gravity
- Umbral moonshine
- Monstrous BPS-algebras and the superstring origin of moonshine
- BRST cohomology of the super-Virasoro algebras
- No more walls! A tale of modularity, symmetry, and wall crossing for 1/4 BPS dyons
- \(K3\) surfaces, \({\mathcal N}=4\) dyons and the Mathieu group \(M_{24}\)
- Optimal mock Jacobi theta functions
- The monster Lie algebra
- Automorphic forms and Lie superalgebras
- Super-moonshine for Conway's largest sporadic group
- Generalized Kac-Moody algebras
- Automorphic forms with singularities on Grassmannians
- Lie algebra homology and the Macdonald-Kac formulas
- On the algebras of BPS states.
- Modular equations and the genus zero property of moonshine functions
- Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra
- Vertex algebras, Lie algebras, and superstrings
- The fake monster superalgebra
- Quiver W-algebras
- Heterotic sigma models on \(T^8\) and the Borcherds automorphic form \(\Phi_{12}\)
- \(K3\) elliptic genus and an umbral moonshine module
- Equivariant \(K3\) invariants
- Super vertex algebras, meromorphic Jacobi forms and umbral moonshine
- Monstrous moonshine and monstrous Lie superalgebras
- Generalized Kac--Moody algebras, automorphic forms and Conway's group. I
- Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
- A characterization of generalized Kac-Moody algebras
- Algebras, BPS states, and strings
- The Conway moonshine module is a reflected \(K3\) theory
- Properties of extremal CFTs with small central charge
- K3 string theory, lattices and moonshine
- Meromorphic Jacobi forms of half-integral index and umbral moonshine modules
- Umbral moonshine and \(K3\) surfaces
- Symmetries of \(K3\) sigma models
- On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine
- The umbral moonshine module for the unique unimodular Niemeier root system
- Generalized moonshine. II: Borcherds products
- Second-quantized Mathieu moonshine
- Counting dyons in \(N=4\) string theory
- Fricke S-duality in CHL models
- THE MOONSHINE MODULE FOR CONWAY’S GROUP
- Rademacher Sums and Rademacher Series
- Generalized Kac-Moody algebras, automorphic forms and Conway's group II
- Monstrous Moonshine
- Finite Groups and Modular Functions
- Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function
- AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
- String Theory
- Fricke Lie algebras and the genus zero property in Moonshine
- 3D string theory and Umbral moonshine
- BPS algebras, genus zero and the heterotic Monster
- Self-dual vertex operator superalgebras and superconformal field theory
- Conway subgroup symmetric compactifications of heterotic string
- Notes on the K3 Surface and the Mathieu GroupM24
- Weight one Jacobi forms and umbral moonshine
- Twisting the fake monster superalgebra