Frobenius-Chern-Simons gauge theory

Roberto Bonezzi, Nicolas Boulanger, Ergin Sezgin, Per Sundell

Resultado de la investigación: Article

4 Citas (Scopus)

Resumen

Given a set of differential forms on an odd-dimensional noncommutative manifold valued in an internal associative algebra H, we show that the most general cubic covariant Hamiltonian action, without mass terms, is controlled by an Z2-graded associative algebra F with a graded symmetric nondegenerate bilinear form. The resulting class of models provide a natural generalization of the Frobenius-Chern-Simons model (FCS) that was proposed in (arXiv: 1505.04957) as an off-shell formulation of the minimal bosonic fourdimensional higher spin gravity theory. If F is unital and the Z2-grading is induced from a Klein operator that is outer to a proper Frobenius subalgebra, then the action can be written on a form akin to topological open string field theory in terms of a superconnection valued in H⊗. We give a new model of this type based on a twisting of C[Z2 ×Z4], which leads to selfdual complexified gauge fields on AdS4. If F is 3-graded, the FCS model can be truncated consistently as to contain no zero-form constraints on-shell. Two examples thereof are a twisting of C[(Z2)3] that yields the original model, and the Clifford algebra Cℓ2n which provides an FCS formulation of the bosonic Konstein-Vasiliev model with gauge algebra hu(4n-1, 0) .

Idioma originalEnglish
Número de artículo055401
PublicaciónJournal of Physics A: Mathematical and Theoretical
Volumen50
N.º5
DOI
EstadoPublished - 4 ene 2017

Huella dactilar

Chern-Simons Theories
Frobenius
Gauge Theory
Gages
gauge theory
Algebra
algebra
Associative Algebra
twisting
Model
Shell
String Field Theory
Hamiltonian Actions
formulations
Hamiltonians
Formulation
Graded Algebra
Clifford Algebra
Grading
Differential Forms

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Citar esto

Bonezzi, Roberto ; Boulanger, Nicolas ; Sezgin, Ergin ; Sundell, Per. / Frobenius-Chern-Simons gauge theory. En: Journal of Physics A: Mathematical and Theoretical. 2017 ; Vol. 50, N.º 5.
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Frobenius-Chern-Simons gauge theory. / Bonezzi, Roberto; Boulanger, Nicolas; Sezgin, Ergin; Sundell, Per.

En: Journal of Physics A: Mathematical and Theoretical, Vol. 50, N.º 5, 055401, 04.01.2017.

Resultado de la investigación: Article

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