Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Chiaffrino, A."'
The kinematic algebra of Yang-Mills theory can be understood in the framework of homotopy algebras: the $L_{\infty}$ algebra of Yang-Mills theory is the tensor product of the color Lie algebra and a kinematic space that carries a $C_{\infty}$ algebra
Externí odkaz:
http://arxiv.org/abs/2408.17341
We formalize the computation of tree-level scattering amplitudes in terms of the homotopy transfer of homotopy algebras, illustrating it with scalar $\phi^3$ and Yang-Mills theory. The data of a (gauge) field theory with an action is encoded in a cyc
Externí odkaz:
http://arxiv.org/abs/2312.09306
Weakly constrained double field theory, in the sense of Hull and Zwiebach, captures the subsector of string theory on toroidal backgrounds that includes gravity, $B$-field and dilaton together with all of their massive Kaluza-Klein and winding modes,
Externí odkaz:
http://arxiv.org/abs/2309.03289
We give an interpretation of holography in the form of the AdS/CFT correspondence in terms of homotopy algebras. A field theory such as a bulk gravity theory can be viewed as a homotopy Lie or $L_{\infty}$ algebra. We extend this dictionary to theori
Externí odkaz:
http://arxiv.org/abs/2307.08094
This essay's title is justified by discussing a class of Yang-Mills-type theories of which standard Yang-Mills theories are special cases but which is broad enough to include gravity as a double field theory. We use the framework of homotopy algebras
Externí odkaz:
http://arxiv.org/abs/2306.14788
Double field theory was originally introduced as the subsector of closed string field theory on a toroidal background given by the massless fields together with all their massive Kaluza-Klein and winding modes. These massive modes are encoded in the
Externí odkaz:
http://arxiv.org/abs/2306.00609
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-50 (2024)
Abstract We give an interpretation of holography in the form of the AdS/CFT correspondence in terms of homotopy algebras. A field theory such as a bulk gravity theory can be viewed as a homotopy Lie or L ∞ algebra. We extend this dictionary to theo
Externí odkaz:
https://doaj.org/article/fffb8a311a6145f7870deb2201dc322a
We give an explicit gauge invariant, off-shell and local double copy construction of gravity from Yang-Mills theory to quartic order. To this end we use the framework of homotopy algebras, and we identify a rich new algebraic structure associated to
Externí odkaz:
http://arxiv.org/abs/2212.04513
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 2, Pp 1-51 (2024)
Abstract We provide a formulation of quantum mechanics based on the cohomology of the Batalin-Vilkovisky (BV) algebra. Focusing on quantum-mechanical systems without gauge symmetry we introduce a homotopy retract from the chain complex of the harmoni
Externí odkaz:
https://doaj.org/article/73d5e60710b4403891e7a8fd9cf0abc8
We provide a formulation of quantum mechanics based on the cohomology of the Batalin-Vilkovisky (BV) algebra. Focusing on quantum-mechanical systems without gauge symmetry we introduce a homotopy retract from the chain complex of the harmonic oscilla
Externí odkaz:
http://arxiv.org/abs/2112.11495