# Questions tagged [superspace-formalism]

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

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### How do we construct an action on a superspace lattice?

I am interested in the formulation of supersymmetric theories on a discrete spacetime, such as a lattice. I know that there are some difficulties in preserving supersymmetry on a lattice, such as the ...
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### References to lattice supermanifolds

Do you have any references (textbooks and/or internet links) to lattice supermanifolds or, more generally, discrete superspaces?
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### Grassmann numbers and fermionic strings

Is it correct that by introducing Grassmann numbers as new directions of spacetime we can make strings behave like fermions (that is, 1/2-spin objects)? And if so, is it possible to show how that ...
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### Fermionic components of super-gauge transformations

Consider $4d$ $\mathcal{N}=1$ super Yang-Mills with gauge group $U(N)$, but really any supersymmetric gauge theory in any dimension will do. People have developed a formalism to quantize such theories ...
1 vote
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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 ... 1 vote
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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: $$\hat{L} = A^\mu(x,\theta)\frac{\partial}{\partial x^\mu} + B^\alpha(x,\theta)\frac{\partial}{\partial \theta^\alpha}$$ ... 160 views

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### Fayet-Iliopoulos terms

It is mentioned in first page of this paper by Seiberg and Komargodski that the Lagrangian in superspace of a $U(1)$ gauge SUSY theory with FI terms is not gauge invariant. However, the FI terms in ...