BPS algebras, genus zero and the heterotic Monster

DOI10.1088/1751-8121/aa8443zbMath1376.81062arXiv1701.05169OpenAlexW3102699470MaRDI QIDQ4591259

Daniel Persson, Roberto Volpato, Natalie M. Paquette

Publication date: 14 November 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05169

zbMATH Keywords

conformal field theoryBPS statesstring theorymonstrous moonshineheterotic stringgeneralized Kac-Moody

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Brauer groups of schemes (14F22)

Related Items (12)

Characterizing moonshine functions by vertex-operator-algebraic conditions ⋮ A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ Dualities in CHL-models ⋮ Constructing a Lie group analog for the Monster Lie algebra ⋮ BPS algebras in 2D string theory ⋮ Fricke Lie algebras and the genus zero property in Moonshine ⋮ Topological modularity of Monstrous Moonshine ⋮ Exact half-BPS black hole entropies in CHL models from Rademacher series ⋮ Fun with \(F_{24}\) ⋮ A Borcherds-Kac-Moody superalgebra with Conway symmetry ⋮ Modular curves and the refined distance conjecture ⋮ Duality defect of the monster CFT

Cites Work

• Umbral moonshine and the Niemeier lattices
• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Borcherds algebras and \( \mathcal{N} = 4 \) topological amplitudes
• Umbral moonshine
• Mathieu moonshine and the geometry of \(K3\) surfaces
• Monstrous BPS-algebras and the superstring origin of moonshine
• Generalized moonshine. I: Genus-zero functions
• \(K3\) surfaces, \({\mathcal N}=4\) dyons and the Mathieu group \(M_{24}\)
• Super-moonshine for Conway's largest sporadic group
• Beauty and the beast: Superconformal symmetry in a monster module
• On the algebras of BPS states.
• Perturbative BPS algebras in superstring theory
• Monstrous moonshine and monstrous Lie superalgebras
• Type IIA-heterotic duals with maximal supersymmetry
• Algebras, BPS states, and strings
• Monstrous string-string duality
• Mathieu twining characters for \(K3\)
• Mathieu moonshine in the elliptic genus of K3
• Geometric engineering of (framed) BPS states
• Umbral moonshine and \(K3\) surfaces
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Generalized moonshine. II: Borcherds products
• Fricke S-duality in CHL models
• Homological algebra of knots and BPS states
• Monstrous Moonshine
• Maximally Supersymmetric String Theories in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">D</mml:mi><mml:mi /><mml:mo><</mml:mo><mml:mi /><mml:mn>10</mml:mn></mml:math>
• Notes on the K3 Surface and the Mathieu GroupM₂₄
• BPS states and algebras from quivers

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