skip to main content
Idioma:

L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism

Jurčo, Branislav ; Raspollini, Lorenzo ; Sämann, Christian ; Wolf, Martin

Fortschritte der Physik, 2019-07, Vol.67 (7), p.n/a [Periódico revisado por pares]

Weinheim: Wiley Subscription Services, Inc

Texto completo disponível

Citações Citado por
  • Título:
    L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism
  • Autor: Jurčo, Branislav ; Raspollini, Lorenzo ; Sämann, Christian ; Wolf, Martin
  • Assuntos: Algebra ; BV formalism ; classical field theory ; differential graded algebras ; Field theory ; Field theory (physics) ; Formalism ; Gauge theory ; Isomorphism ; Quantum theory ; strong homotopy Lie algebra
  • É parte de: Fortschritte der Physik, 2019-07, Vol.67 (7), p.n/a
  • Descrição: We review in detail the Batalin–Vilkovisky formalism for Lagrangian field theories and its mathematical foundations with an emphasis on higher algebraic structures and classical field theories. In particular, we show how a field theory gives rise to an L∞‐algebra and how quasi‐isomorphisms between L∞‐algebras correspond to classical equivalences of field theories. A few experts may be familiar with parts of our discussion, however, the material is presented from the perspective of a very general notion of a gauge theory. We also make a number of new observations and present some new results. Most importantly, we discuss in great detail higher (categorified) Chern–Simons theories and give some useful shortcuts in usually rather involved computations. The authors review in detail the Batalin–Vilkovisky formalism for Lagrangian field theories and its mathematical foundations with an emphasis on higher algebraic structures and classical field theories. In particular, it is shown how a field theory gives rise to an L∞‐algebra and how quasi‐isomorphisms between L∞‐algebras correspond to classical equivalences of field theories. A few experts may be familiar with parts of our discussion, however, the material is presented from the perspective of a very general notion of a gauge theory. Most importantly, higher (categorified) Chern–Simons theories are discussed in great detail and some useful shortcuts in usually rather involved computations are given.
  • Editor: Weinheim: Wiley Subscription Services, Inc
  • Idioma: Inglês
Voltar para lista de resultados

  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

Buscando em bases de dados remotas. Favor aguardar.