# Questions tagged [supersymmetry]

A postulated symmetry between bosonic and fermionic fields in quantum field theories and string theories.

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### Gauss law, gauge and global symmetries

I am reading Witten's paper on the confinement/deconfinement phase transition in $\mathcal{N}=4$ $\mathrm{SU}(N)$ SYM theory. I am a bit stuck at section "Confinement" at Finite Volume, page ...
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### Statement clarification: When do we have $\Delta = \frac{d-1}{2} q_R$?

This statement is for SCFT, where $\Delta$ is the conformal weight, $q_R$ is the R-charge. How many supersymmetries do we need? Do we need chiral primary scalar, or just chiral scalar? How to derive ...
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### Super Hilbert space of SYM

I hope this message finds you well. I am currently try to understand explicitly, at least in some sense, $d=4$, ${\cal N}=4$ super Yang-Mills theory. What is the explicit construction of the super ...
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### Superspace calculation: Converting the Kahler potential to superpotential?

In the Lecture notes of Tachikawa on 4d ${\cal N}=1$, in equation (3.2.12), which reads \int d^4 \theta \delta K = - \frac{1}{2} \int d^2 \theta \overline{D}^2 \delta K + c.c.\tag{...
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### Confinement, Holographic QCD, Seiberg-Witten Theory

I have seen a bunch of articles that all try to show confinement using AdS/QCD or Holographic QCD method. I pretty much know that the lastest attempt to prove confinement based on breaking SUSY even ...
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### Picture Number in String Vertex Operator

How can I know what is the Picture of a particular vertex operator? For example in 8.3.15 in Polchinski's book Vol.1, the Vertex Operators for the Enhanced Gauge symmetry are given by ...
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### Asymptotic form of wavefunctions in case of $k$ one-dimensional asymptotic regions

I'm reading the paper Hamiltonian Truncation Study of Supersymmetric Quantum Mechanics, and am struggling to understand some things about section 2. In particular eqn 2.2, and how to think about the ...
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### Effects of a hypothetical "proton-decay bomb" for a fictional story [closed]

I'm writing a science fiction story in which I need a devastating weapon of mass destruction that is far worse than nuclear bombs. For some reason, I'm fascinated by the idea of a "proton-decay ...
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### Supersymmetric Wess Zumino term and Fierz identities in $d=10$

When studying the Green-Schwarz formalism of superstring, we came across the following term (the Wess Zumino term) in the action \begin{align*} S_{WZ} = \frac{1}{2 \pi \alpha} \int d^2 \sigma [ \...
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### Introductory Reference for Supergravity

I have finished quantum field theory and general relativity and want to read about supergravity. I have read about supersymmetry from the demystify series and the supersymmetry part of Wess and Bagger'...
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### Lagrangian of chiral superfield

Consider a number of chiral superfield $\Phi_i$ with components $A_i$, $\psi_i$, $F_i$, respectively a complex scalar, a 2-component Weyl fermion and an auxiliary complex scalar. The most general ...
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### For a chiral superfield, $\overline{D}^2 D^2 \Phi = 16 \partial^2 \Phi$

When looking for the derivation of the Kahler potential, generally is assumed the following idendity: For a Chiral superfield $\Phi$, we have $$\overline{D}^2 D^2 \Phi = 16 \partial^2 \Phi$$ But ...
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### Understanding a supersymmetric quantum mechanical gauge theory model

I'm studying this paper on supersymmetric ground state wavefunctions. In section 5 "quantum mechanical gauge theories", it says: "We begin with the ${\cal N} = 2$ gauge theory which ...
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### Local Supersymmetry and Space-time Metric

So following from Simple Supergravity (arxiv:2212.10044), on page 5, it's written that Only the spacetime metric can couple to the energy-momentum tensor... Can anyone explain why it must be the ...
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### Fermionic and bosonic degrees of freedom of a vector superfield

I am currently studying supersymmetry with the SUSY primer of Stephen P. Martin (https://arxiv.org/abs/hep-ph/9709356) and there seem to be not equally many bosonic and fermionic degrees of freedom (...
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### What does $\mathcal{N}=2$ mean? [closed]

I have seen in some places (especially in the context of theoretical physics) the notation $\mathcal{N}=2$, but I'm not that capable of reading and understanding these materials, thus I'm now ...
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### Looking for a source to explain the Process of Topological twisting

as the title suggests I am looking for papers or other material that explains the notion of Topological twisting as it appears in the context of certain SUSY algebras. Concretely I am interested in ...
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### Deducing charges from a Lagrangian, in supersymmetric quantum mechanics

I'm trying to read through this paper called "Supersymmetric Ground State Wavefunctions". Half way down page 4, is says "We begin by reviewing Witten's original model which is defined ...
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### Berezin Integration, confirming an measure is invariant

I am working through the Mirror Symmetry book, available here. I already had a question about an earlier part of the same Exercise 9.2.1 on page 157: We are given the following action with one boson ...
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### Confirming an action is invariant under a supersymmetric transformation

I am studying chapter 9 of the book Mirror Symmetry, available here. My question is relating to page 156/157 where Supersymmetry is being introduced for the first time in QFT in 0-dimensions. We are ...
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### Decomposition of vector bundle in $M$-theory

I was studying this paper where the authors construct some field theory solutions by wrapping M5-branes on holomorphic curves on Calabi-Yau. I have some questions about their construction. What they ...
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