Quantum \({L_\infty}\) algebras and the homological perturbation lemma

DOI10.1007/s00220-019-03375-xzbMath1469.81031arXiv1712.02696OpenAlexW2963052004MaRDI QIDQ1737560

Branislav Jurčo, Martin Doubek, Ján Pulmann

Publication date: 23 April 2019

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

Full work available at URL: https://arxiv.org/abs/1712.02696

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (10)

Symmetry factors of Feynman diagrams and the homological perturbation lemma ⋮ Homotopy Transfer and Effective Field Theory I: Tree‐level ⋮ Braided quantum electrodynamics ⋮ Light-cone reduction of Witten's open string field theory ⋮ L_∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism ⋮ Homotopy transfer for QFT on non-compact manifolds with boundary: a case study ⋮ Tree-level color-kinematics duality implies loop-level color-kinematics duality up to counterterms ⋮ Loop amplitudes and quantum homotopy algebras ⋮ Modular operads with connected sum and Barannikov’s theory ⋮ Gauge invariant perturbation theory via homotopy transfer

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