Zobrazeno 1 - 10
of 133
pro vyhledávání: '"homotopy transfér"'
Autor:
Maunder, James
Explicit constructions for the minimal models of general and unimodular L-infinity algebra structures are given using the BV-formalism of mathematical physics and the perturbative expansions of integrals. In particular, the general formulas for the m
Externí odkaz:
http://arxiv.org/abs/2408.12461
Autor:
Cremonini, C. A., Marotta, V. E.
In this work, we propose a novel approach to the homotopy transfer procedure starting from a set of homotopy data such that the first differential complex is a differential graded module over the second one. We show that the module structure may be u
Externí odkaz:
http://arxiv.org/abs/2406.12508
Autor:
Singh, Ranveer Kumar
A consistent action for heterotic and type II superstring field theory was recently proposed by Sen. We give an algebraic formulation of this action in terms of certain twisted $L_\infty$-algebra. We further show that Sen's Wilsonian effective supers
Externí odkaz:
http://arxiv.org/abs/2405.08063
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
Autor:
Boucrot, Marion
In this article, we extend results of J. Leray and B. Vallette on homotopical properties of pre-Calabi-Yau algebras to the case of pre-Calabi-Yau categories. We give direct proofs of the results adapting techniques used by D. Petersen for the case of
Externí odkaz:
http://arxiv.org/abs/2306.10610
Autor:
Wang, Minghao, Yan, Gongwang
In this work we report a homological perturbation calculation to construct effective theories of topological quantum mechanics on $\mathbb{R}_{\geqslant 0}$. Such calculation can be regarded as a generalization of Feynman graph computation. The resul
Externí odkaz:
http://arxiv.org/abs/2203.09071
We continue our study of effective field theory via homotopy transfer of $L_\infty$-algebras, and apply it to tree-level non-Wilsonian effective actions of the kind discussed by Sen in which the modes integrated out are comparable in mass to the mode
Externí odkaz:
http://arxiv.org/abs/2106.08343
We use the dictionary between general field theories and strongly homotopy algebras to provide an algebraic formulation of the procedure of integrating out of degrees of freedom in terms of homotopy transfer. This includes more general effective theo
Externí odkaz:
http://arxiv.org/abs/2007.07942
We show that the perturbative expansion of general gauge theories can be expressed in terms of gauge invariant variables to all orders in perturbations. In this we generalize techniques developed in gauge invariant cosmological perturbation theory, u
Externí odkaz:
http://arxiv.org/abs/2012.12249
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