L∞-algebra models and higher Chern–Simons theories

DOI10.1142/S0129055X16500215zbMath1353.81098arXiv1511.08201MaRDI QIDQ2829631

Christian Sämann, Patricia Ritter

Publication date: 8 November 2016

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08201

zbMATH Keywords

matrix modelmultisymplectic geometrysupersymmetryhigher gauge theoryNQ-manifoldsAKSZ formlismhigher Chern-Simons theoryhigher Lie algebvraIKKT model

Mathematics Subject Classification ID

Unified, higher-dimensional and super field theories (83E99) Supersymmetric field theories in quantum mechanics (81T60) Feynman diagrams (81T18) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential graded algebras and applications (associative algebraic aspects) (16E45) Geometric quantization (53D50)

Related Items (8)

Algebraic formulation of higher gauge theory ⋮ Generalized higher gauge theory ⋮ Higher Chern-Simons based on (2-)crossed modules ⋮ Supersymmetric Yang-Mills theory as higher Chern-Simons theory ⋮ Infinity-enhancing of Leibniz algebras ⋮ Towards an M5-brane model I: A 6d superconformal field theory ⋮ The \(L_{\infty}\)-algebra of the S-matrix ⋮ Leibniz gauge theories and infinity structures

Cites Work

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