Celebratio Mathematica — Schwarz — Complete Bibliography

Complete Bibliography

Works connected to Vladimir Solomonovich Retakh

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M. Movshev and A. Schwarz: “Algebraic structure of Yang–Mills theory,” pp. 473–523 in The unity of mathematics (Cambridge, MA, 31 August–4 September 2003). Edited by P. Etingof, V. Retakh, and I. M. Singer. Progress in Mathematics 244. Birkhäuser (Boston), 2006. Conference in honor of the ninetieth birthday of I. M. Gelfand. MR 2181815 Zbl 1229.81281 ArXiv hep-th/0404183 incollection

In the present paper we analyze algebraic structures arising in Yang–Mills theory. The paper should be considered as a part of a project started with [2004] and devoted to maximally supersymmetric Yang–Mills theories. In this paper we collected those of our results which are correct without assumption of supersymmetry and used them to give rigorous proofs of some results of [2004]. We consider two different algebraic interpretations of Yang–Mills theory — in terms of \( A_{\infty} \)-algebras and in terms of representations of Lie algebras (or associative algebras). We analyze the relations between these two approaches and calculate some Hochschild (co)homology of algebras in question.

Michael V. Movshev	Related
Vladimir Solomonovich Retakh	Related
Pavel Ilyich Ètingof	Related
Israïl Moiseevich Gelfand	Related
Isadore M. Singer	Related	Volume