# Questions tagged [superspace-formalism]

The Green-Schwarz formalism, or the superspace-formalism, are formalisms for supersymmetry with explicit spacetime supersymmetry.

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### Dimension of moduli space for SQCD

We are in $\mathcal{N}=1$ SUSY. Consider massless SQCD with gauge group $SU(N)$ and $F$ flavours. The quarks superfields $Q$ and $\tilde{Q}$ are $F\times N$ and $N\times F$ matrices respectively and ...
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### Functional integral for unconstrained superfields

Context In this paper by Srivastava (also in his book "Supersymmetry, Superfields and Supergravity"), he proposes the functional integral for a chiral superfield $\Phi$. In order to work ...
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### Invariant of supersymmetry?

Given two vectors in 3D superspace $(x_1^\mu,\theta_1^\alpha,\overline{\theta}_1^\alpha)$ and $(x_2^\mu,\theta_2^\alpha,\overline{\theta}_2^\alpha)$ I am trying to find a polynomial invariant under ...
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### Extended SUSY and superspace

I am trying to understand how to construct an action using the superspace formalism for $\mathcal N>1$. I have read that this is quite difficult to do, so let's consider a simple example. Suppose I ...
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### Auxiliary fields in non-supersymmetric theory

It is well-known, that in superspace formulation of supersymmetric theories auxiliary fields appear. In present of such fields SUSY transformations are linear and independent of model. Are some non-...
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### What is the form of local supersymmetry transformations in superspace?

So the most general local superspace transformation generator I can write is: $$\hat{L} = A^\mu(x,\theta)\frac{\partial}{\partial x^\mu} + B^\alpha(x,\theta)\frac{\partial}{\partial \theta^\alpha}$$ ...
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### Information about fields and superfields [closed]

I want some explanation of fields and superfields (types and components), and what the relationship between them and representation of a group.
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When writing down the the action of the RNS superstring in superspace, all of the sources I have checked (BBS, GSW, Polchinski) seem to just write down the action in conformal gauge, that is $$S_{\... 2 votes 1 answer 229 views ### Relation between \mathcal{N}=2 d=4 SUSY and \mathcal{N}=4 d=3 SUSY What is meant with the fact that supersymmetry with \mathcal{N}=4 in three (2+1) dimensions is equivalent to supersymmetry with \mathcal{N}=2 in ordinary four (3+1) dimensions? Which way does one ... 3 votes 1 answer 1k views ### Are there two types of D-term and two types of F-term in SUSY? I've noticed that one can obtain D-terms either by integrating a vector superfield (the vector multiplet) over superspace or by integrating a Kahler potential over superspace. In both cases we get ... 4 votes 0 answers 132 views ### Do commutation relations exist between superfields? To quantize a theory, Klein gordon field for example, commutation relations are stablished. Or anticommuting ones in the fermionic case. If I have the Wess.Zumino model or the free model:$$S~=~\int\...
On page 180 David McMohan explains that to obtain a (spacetime) supersymmetric action for a GS superstring one has to add to the bosonic part  S_B = -\frac{1}{2\pi}\int d^2 \sigma \sqrt{h}h^{\alpha\...