An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
$L_{\infty}$ Algebras and Field Theory
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We review and develop the general properties of $L_\infty$ algebras focusing on the gauge structure of the associated field theories. Motivated by the $L_\infty$ homotopy Lie algebra of closed string field theory and the work of Roytenberg and Weinstein describing the Courant bracket in this language we investigate the $L_\infty$ structure of general gauge invariant perturbative field theories. We sketch such formulations for non-abelian gauge theories, Einstein gravity, and for double field theory. We find that there is an $L_\infty$ algebra for the gauge structure and a larger one for the full interacting field theory. Theories where the gauge structure is a strict Lie algebra often require the full $L_\infty$ algebra for the interacting theory. The analysis suggests that $L_\infty$ algebras provide a classification of perturbative gauge invariant classical field theories.
fields
hep-th 2verdicts
UNVERDICTED 2representative citing papers
Refines closed string field theory for non-critical backgrounds such as D=26-ε flat space and linear dilaton profiles, constructing the classical BV action at genus zero and extending background independence to first order off the conformal locus.
citing papers explorer
-
Homotopy transfer for massive Kaluza-Klein modes
An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
-
Closed String Field Theory in 25.99 Dimensions
Refines closed string field theory for non-critical backgrounds such as D=26-ε flat space and linear dilaton profiles, constructing the classical BV action at genus zero and extending background independence to first order off the conformal locus.