# Tagged Questions

The tag has no usage guidance.

222 views

### Embedding of $F(4)$ in $OSp(8|4)$?

Is the superconformal algebra in five dimensions, $F(4)$, a subalgebra of the (maximal) six-dimensional superconformal algebra $OSp(8|4)$?
1k views

### Does the commutator of anything with itself not vanish?

In a quantum mechanics exam one question was to write the commutator of a couple of operators. Everybody got points taken away since they did not write $[Q_i, Q_i] = 0$ for all the operators $Q_i$ in ...
493 views

### What do the supercharges in extended supersymmetry do?

What do the supercharges in extended supersymmetry do? In $N=1$ supersymmetry there are a certain number of fermions and and equal number of bosons. You can transform all fermions to the bosons (and ...
1k views

### Dirac equation as Hamiltonian system

Let us consider Dirac equation $$(i\gamma^\mu\partial_\mu -m)\psi ~=~0$$ as a classical field equation. Is it possible to introduce Poisson bracket on the space of spinors $\psi$ in such a way that ...
148 views

### Where does the “Supersymmetry” in Witten's proof of the Morse inequalities come from?

Where does the "Supersymmetry" in Witten's proof of the Morse inequalities (original paper and outline of proof for mathematicians) come from? Hopefully someone can provide an intuitive understanding? ...
380 views

### Grassmann Variables Representation?

It might be a silly question, but I was never mathematically introduced to the topic. Is there a representation for Grassmann Variables using real field. For example, gamma matrices have a ...
2k views

196 views

Given the complete supersymmetric lagrangian of a free abelian gauge multiplet $$\mathcal{L} = -\frac{1}{4} F_{\mu\nu} F^{\mu\nu} + i \bar{\lambda} \bar{\sigma}^\mu \partial_\mu \lambda + \frac{1}{2} ... 0answers 92 views ### New Supersymmetry Algebra We know that SUSY generators commute with translation$$ [P_\mu,Q_\alpha]=0 $$I have some questions: What is this equation physical meaning? Is it possible to make "SUSY-like" generators that do ... 1answer 35 views ### Question about the expression of Witten Index I am studying supersymmetry by myself. I do not understand the expression of Witten index, which is {\rm Tr}(-1)^{F}. What does it mean by writing -1 to the power of an operator F? Is this ... 1answer 125 views ### Under what cases is the Batalin-Vilkovisky (BV) operator nilpotent? It is understood that when we deal with gauge algebras which close on-shell only after using equations of motion or where the space-time is curved, we can no longer just do away with BRST quantization.... 1answer 113 views ### Representations of subalgebra in the super virasoro algebra In the Virasoro algebra, which is generated by L_n, one has the obvious subalgebra spanned by L_{-1} ,L_{1} and L_{0} which is isomorphic to the Lie algebra \mathfrak{sl}(2,\mathbb{R}). The ... 0answers 46 views ### The super Grassmannian G_{2|2}(4|4) In the paper, the super Grassmannian G_{2|2}(4|4) is defined by (12)--(18). An element of G_{2|2}(4|4) can be written as a (2 | 2) \times (4 | 4) matrix of full rank modulo the left action by ... 2answers 82 views ### Multivariable functions of Grassmann numbers I'm trying to derive the closed form of the fermionic coherent state defined by the relation:$$ f_i|\vec{\eta}\rangle = \eta_i |\vec{\eta}\rangle \tag{4.10} My book (Atland and Simons, Condensed ... 1answer 312 views ### dimensional analysis of Grassmann integration/differentiation There is another paradox that I need to resolve: The Berezin integration rules for Grassmann odd variables give the same result as differentiation: If f=x+\theta\psi is a superfunction, the ... 1answer 68 views ### What are anticommuting spinor parameters \zeta^\alpha? I'm reading Martin F.Sohnius, Introducing supersymmetry, page 82. It is the first time he introduces the anticommuting spinor parameters \zeta^\alpha to calculate the supersymmetry variations of a ... 1answer 100 views ### Do the Grassmann coordinates in the superfield formalism have any physical meaning? In the superfield formalism we consider fields in a space who has four so called bosonic coordinates x^{\nu} and four so called fermionic coordinates \theta_1,\theta_2,\bar{\theta_1},\bar{\... 0answers 43 views ### Are Fock spaces just a special type of tensor algebra? Are Fock spaces just a special type of tensor algebra? The definitions I am using: http://en.wikipedia.org/wiki/Fock_space http://en.wikipedia.org/wiki/Tensor_algebra From what I can tell, the ... 0answers 22 views ### Supersymmetric 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}} \... 1answer 44 views ### Question about Supermatrix algebra This question is inspired from a reading of Appendix F of P. van Nieuwenhuizen, Supergravity, Phys. Rep. 68 (1981) pp. 369-374. Consider a "supermatrix"M = \left(\begin{array}{cc} A & B\\ C &...
Does anybody know how to derive the $\mathcal{N}=4$ d=3 susy algebra doing a dimensional reduction from the most famous $\mathcal{N}=4$ d=4? Equivalently, does it exist a reference in the literature ...