Celebratio Mathematica — Schwarz — Complete Bibliography

Complete Bibliography

Works connected to Veeravalli S. Varadarajan

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M. V. Movshev and A. Schwarz: “Maximal supersymmetry,” pp. 175–193 in Supersymmetry in mathematics and physics (Los Angeles, 6–7 February 2010). Edited by S. Ferrara, R. Fioresi, and V. S. Varadarajan. Lecture Notes in Mathematics 2027. Springer (Berlin), 2011. MR 2906343 Zbl 1246.81380 incollection

We have studied supersymmetric and super Poincaré invariant deformations of maximally supersymmetric gauge theories, in particular, of ten-dimensional super Yang–Mills theory and of its reduction to a point. We have described all infinitesimal super Poincaré invariant deformations of equations of motion and proved that all of them are Lagrangian deformations and all of them can be extended to formal deformations. Our methods are based on homological algebra, in particular, on the theory of \( L_{\infty} \) and \( A_{\infty} \)-infinity algebras. In this paper we formulate some of the results we have obtained, but skip all proofs. However, we describe the results of the theory of \( L_{\infty} \) and \( A_{\infty} \) algebras that serve as the main tool in our calculations.

Michael V. Movshev	Related
Rita Fioresi	Related
Veeravalli S. Varadarajan	Related
Sergio Ferrara	Related