Supersymmetry Algebra in Super Yang-Mills Theories
arXiv:1506.03522 · doi:10.1007/JHEP09(2015)211
Abstract
We compute supersymmetry algebra (superalgebra) in supersymmetric Yang-Mills theories (SYM) consisting of a vector multiplet including fermionic contribution in six dimensions. We show that the contribution of fermion is given by boundary terms. From six dimensional results we determine superalgebras of five and four dimensional SYM by dimensional reduction. In five dimensional superalgebra the Kaluza-Klein momentum and the instanton particle charge are not the same but algebraically indistinguishable. We also extend this calculation including a hyper multiplet and for maximally SYM. We derive extended supersymmetry algebras in these four dimensional SYM with the holomorphic coupling constant given in hep-th/9408099.
34 pages, v2: minor corrections, references added, v3: minor revisions for publication, grant number added
References in corpus (10)
- S-duality in N=2 supersymmetric gauge theories
- Webs of five-branes and N=2 superconformal field theories
- 5-dim Superconformal Index with Enhanced En Global Symmetry
- M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
- On D=5 super Yang-Mills theory and (2,0) theory
- Instantons on the 5-sphere and M5-branes
- Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
- Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
- A comment on the enhancement of global symmetries in superconformal SU(2) gauge theories in 5D
- Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories