Supersymmetric deformations of maximally supersymmetric gauge theories

@article{Movshev2012SupersymmetricDO,
  title={Supersymmetric deformations of maximally supersymmetric gauge theories},
  author={Michael Movshev and Albert S. Schwarz},
  journal={Journal of High Energy Physics},
  year={2012},
  volume={2012},
  pages={1-77}
}
A bstractWe study supersymmetric and super Poincaré invariant deformations of tendimensional super Yang-Mills theory and of its dimensional reductions. We describe all infinitesimal super Poincaré invariant deformations of equations of motion of ten-dimensional super Yang-Mills theory and deformations of the reduction to a point. We also discuss how these infinitesimals can be extended to formal deformations. Our methods are based on homological algebra, in particular, on the theory of L… 

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References

SHOWING 1-10 OF 49 REFERENCES

Spinorial cohomology and maximally supersymmetric theories

Fields in supersymmetric gauge theories may be seen as elements in a spinorial cohomology. We elaborate on this subject, specialising to maximally supersymmetric theories, where the superspace

The cohomology of superspace, pure spinors and invariant integrals

The superform construction of supersymmetric invariants, which consists of integrating the top component of a closed superform over spacetime, is reviewed. The cohomological methods necessary for the

Deformation of maximally supersymmetric Yang-Mills theory in dimensions 10. An algebraic approach

We make a preliminary algebraic study of supersymmetric deformations of N=1 Yang-Mills theory in dimension ten with an arbitrary gauge group. This is done in a context of Lie algebra deformation

The Structure of Maximally Supersymmetric Yang-Mills Theory: Constraining Higher-Order Corrections

We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we

Pure spinor superfields and Born-Infeld theory

A bstractWe present a method for introducing and analysing higher-derivative deformations of maximally supersymmetric field theories. Such terms are built in the pure spinor superfield framework,

Yang-Mills theories in dimensions 3,4,6,10 and Bar-duality

In this note we give a homological explanation of “pure spinors” in YM theories with minimal amount of supersymmetries. We construct A ∞ algebras A for every dimension D = 3 , 4 , 6 , 10, which for D

COHOMOLOGY AND DEFORMATIONS IN GRADED LIE ALGEBRAS

Abstract : The theories of deformations of associative algebras, Lie algebras, and of representations and homomorphisms of these all show a striking similarity to the theory of deformations of