Results 1 to 10 of about 16,981 (192)

Heterotic string field theory with cyclic L-infinity structure [PDF]

, 2019
We construct a complete heterotic string field theory that includes both the Neveu-Schwarz and Ramond sectors. We give a construction of general string products, which realizes a cyclic L-infinity structure and thus provides with a gauge-invariant action
Kunitomo, Hiroshi, Sugimoto, Tatsuya
core   +2 more sources

$L_\infty$-Algebras, the BV Formalism, and Classical Fields [PDF]

, 2019
We summarise some of our recent works on $L_\infty$-algebras and quasi-groups with regard to higher principal bundles and their applications in twistor theory and gauge theory.
Baston R. J., Breen L., Buchdahl N. P., Costello K., Dunajski M., Fairon M., Goerss P., Henriques A., Howe P. S., Kadeishvili T., Kajiura H., Kriz I., Lada T., Mac Lane S., May J. P., Saemann C., Saemann C., Saemann C., Saemann C., Ward R. S., Wolf M., Zwiebach B.   +21 more
core   +2 more sources

Homotopy algebra of open-closed strings [PDF]

, 2006
This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration spaces (one of Fred's specialities) of Riemann surfaces, structures on loop ...
Kajiura, Hiroshige, Stasheff, Jim
core   +5 more sources

$L_\infty$-Algebra Models and Higher Chern-Simons Theories [PDF]

, 2016
We continue our study of zero-dimensional field theories in which the fields take values in a strong homotopy Lie algebra. In a first part, we review in detail how higher Chern-Simons theories arise in the AKSZ-formalism.
Ritter, Patricia, Saemann, Christian
core   +3 more sources

Unimodular homotopy algebras and Chern-Simons theory [PDF]

, 2015
Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infinity) algebra g, the vector space H^*(M) \otimes g has the structure of an ...
Braun, Christopher, Lazarev, Andrey
core   +3 more sources

A tale of three homotopies [PDF]

, 2015
For a Koszul operad $\mathcal{P}$, there are several existing approaches to the notion of a homotopy between homotopy morphisms of homotopy $\mathcal{P}$-algebras. Some of those approaches are known to give rise to the same notions.
Dotsenko, Vladimir, Poncin, Norbert
core   +5 more sources

L-infinity maps and twistings [PDF]

, 2011
We give a construction of an L-infinity map from any L-infinity algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A-infinity analogues.
Chuang, Joseph, Lazarev, Andrey
core   +2 more sources

Gr\"obner-Shirshov bases for $L$-algebras

, 2010
In this paper, we firstly establish Composition-Diamond lemma for $\Omega$-algebras. We give a Gr\"{o}bner-Shirshov basis of the free $L$-algebra as a quotient algebra of a free $\Omega$-algebra, and then the normal form of the free $L$-algebra is ...
Bokut L. A., Drensky V., JIAPENG HUANG, L. A. BOKUT, MacLane S., YUQUN CHEN   +5 more
core   +1 more source

Exotic Bialgebra S03: Representations, Baxterisation and Applications

, 2006
The exotic bialgebra S03, defined by a solution of the Yang-Baxter equation, which is not a deformation of the trivial, is considered. Its FRT dual algebra $s03_F$ is studied.
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.   +3 more
core   +1 more source

Homotopy algebras inspired by classical open-closed string field theory [PDF]

, 2004
We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field theory and also is related to the situation of Kontsevich's deformation ...
Kajiura, Hiroshige, Stasheff, Jim
core   +5 more sources