Representations of subalgebra in the super virasoro algebra
In the Virasoro algebra, which is generated by $L_n$, one has the obvious subalgebra spanned by $L_{-1}$ ,$L_{1}$ and $L_{0}$ which is isomorphic to the Lie algebra $mathfrak{sl}(2,mathbb{R})$. The...
View ArticleWhy must the supersymmetry generators be spinors?
I have read in a few places (for example, at page 5 here) that the supersymmetry generators must be spinors. Quoting the reference mentioned The generator of the symmetry must relate two types of...
View ArticleIs it possible to write the fermionic quantum harmonic oscillator using $P$...
The Hamiltonian of the quantum harmonic oscillator is $$mathcal{H}=frac{P^2}{2m}+frac{1}{2}momega^2X^2$$ and we can define creation and annihilation operators...
View ArticleAbout the definition of super Hilbert Spaces
I have founded in the literature at leas two different definition of Hilbert spaces: Definition 1: A super Hilbert space is a complex super-vector space $mathcal{H}=mathcal{H}_0oplus mathcal{H}_1$ with...
View ArticleSupersymmetric variation of $F$ term using super Jacobi identity [closed]
Basically, i am solving problems in note with a slightly different notation. begin{align} [Q_alpha F] = -i lambda_alpha (x), quad [ bar{Q}_{dot{alpha}},F] = -i bar{chi}_{dot{alpha}} end{align} I obtain...
View Article
