Heterotic sigma models on \(T^8\) and the Borcherds automorphic form \(\Phi_{12}\)

DOI10.1007/JHEP10(2017)121zbMath1383.83175arXiv1610.00707OpenAlexW3103400467MaRDI QIDQ1709340

Sarah M. Harrison, Roberto Volpato, Max Zimet, Shamit Kachru, Natalie M. Paquette

Publication date: 27 March 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00707

zbMATH Keywords

automorphic formsreflection groupsuperstring vacuasuperstrings and heterotic stringsgeneralized Kac-Moody algebraunimodular latticesdenominator function

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) String and superstring theories in gravitational theory (83E30) Relationship to Lie algebras and finite simple groups (11F22) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Jacobi forms (11F50) Automorphic forms, one variable (11F12)

Related Items

BPS algebras in 2D string theory, No more walls! A tale of modularity, symmetry, and wall crossing for 1/4 BPS dyons, Lost chapters in CHL black holes: untwisted quarter-BPS dyons in the \(\mathbb{Z}_2\) model, Fun with \(F_{24}\), A Borcherds-Kac-Moody superalgebra with Conway symmetry

Cites Work

• Umbral moonshine and the Niemeier lattices
• Elliptic genera and 3d gravity
• Umbral moonshine
• Monstrous BPS-algebras and the superstring origin of moonshine
• Super-moonshine for Conway's largest sporadic group
• Wall crossing, discrete attractor flow and Borcherds algebra
• Elliptic genera of symmetric products and second quantized strings
• Strong-weak coupling duality in three-dimensional string theory
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Protected couplings and BPS dyons in half-maximal supersymmetric string vacua
• Counting dyons in \(N=4\) string theory
• Curve Counting on K3 × E, The Igusa Cusp Form χ10, and Descendent Integration
• 3D string theory and Umbral moonshine
• Notes on the K3 Surface and the Mathieu GroupM₂₄