All Questions
Tagged with duality supersymmetry
28
questions
2
votes
0
answers
67
views
How to identify the dyon being condensated at the ${\cal N}=2$ SUSY $u$-plane?
For the $u$-plane monodromy at $u=u_0$
$$\mathcal{M}^{p,q}=\begin{pmatrix}
1+pq & p^2 \\
-q^2 & 1-pq \\
\end{pmatrix}$$
the statement is that dyons with electric and magnetic charges $(p,q)$ ...
5
votes
1
answer
388
views
Can Montonen-Olive duality be used for studying $\mathcal{N}=4$ SYM at strong coupling? If not, why not?
It's all in the title. To be more complete, the following is stated in the preamble of the Wikipedia article about S-duality:
One of the earliest known examples of S-duality in quantum field
theory ...
5
votes
1
answer
243
views
Anomalies in the self-dual Yang-Mills theory and $\mathcal{N}=2$ open-string theory
I am reading a paper, written by G. Chalmers and W. Siegel - https://arxiv.org/abs/hep-th/9606061, where they discuss the action of self-dual Yang-Mills theory, which in light-cone formalism is ...
8
votes
2
answers
191
views
Can supersymmetries change under dualities, like gauge symmetries can?
Symmetries that have non-trivial effects on observables must be preserved by dualities (equivalences between different-looking quantum field theories), because the equivalence relation preserves ...
3
votes
0
answers
56
views
Can $\mathcal{N}=4$ SYM be interpreted as describing a superconductor?
I am quite fond of analogies between QFT and statistical mechanics, although I am not at all an expert in statistical physics. And I was wondering if it would make any sense to view the (Euclidean) ...
2
votes
0
answers
33
views
Dualities involving Supersymmetric QED in $3+1$d
Most of the supersymmetric dualities in $3+1$d involve only non-Abelian gauge theories, like $SU(N)$ $\mathcal{N}=1$ SQCD, etc. Are there examples of dualities which involve supersymmetric QED (i.e. ...
3
votes
0
answers
324
views
A Question about Wave-Function Renormalization Factor in SQCD
Here, I have a question about the one-loop computation of the wave-function renormalization factor in SQCD.
According to Seiberg duality, the following electric $\mathrm{SQCD}_{e}$
\begin{gather}
...
1
vote
1
answer
108
views
Showing that the $\mathcal{N=2}$ SUSY Effective Action is Duality-Invariant
The effective action of the $\mathcal{N}=2$ supersymmetric $SU(2)$ gauge theory contains the following term;
$$Im\int d^{4}xd^{2}\theta d^{2}\bar{\theta}\Phi^{\dagger}\mathcal{F}'(\Phi)$$
Where $\Phi$ ...
1
vote
0
answers
22
views
Checking modularity-like transformation property
Assume $M$ is a 4 manifold. Let $Z_v$ be partition function of fixed magnetic flux $v$ with all instanton configuration summed over where $v\in H^2(M,Z/nZ)$. $\tau$ denotes complex parameter on upper ...
0
votes
2
answers
201
views
Dual of Kalb Ramond field [closed]
i've been studying string theory for 4 days, i have a Kalb Ramond $B_{(2)}$ of this kind (from a $5^2 _2$ solution [1]) and i want evaluate its dual but i don't obtain the right result:
The variables ...
2
votes
0
answers
105
views
New-minimal vs old-minimal supergravity
New-minimal set of supergravity auxiliary fields includes a two-form field, whereas the old-minimal auxiliary set includes a vector and a complex scalar. Is anyone aware of how to transform between ...
3
votes
1
answer
111
views
Does a SUSY Chern-Simons term prevent the dualising of the gauge potential to a scalar?
In 3D $\mathcal{N}=2$ supersymmetric field theory with abelian gauge fields, the gauge field $A_{\mu}$ is often dualised to a real scalar $\gamma$. Does a Chern-Simons term prevent this dual ...
8
votes
1
answer
287
views
A fundamental question about Seiberg duality
Standard set up and review:
Let us consider $SU(N)$ SQCD with $N_f$ flavors as our electric theory (just like in Seiberg's paper) and also let $N_f \geq N$. This theory is completely Higgsed in the ...
0
votes
1
answer
428
views
The difference between Type I strings and Type II strings
I understand Type II strings but i do not understand the difference between Type I and Type II strings. Can anyone explain this to me?
7
votes
1
answer
554
views
Why is Seiberg duality called an electromagnetic duality?
An electromagnetic duality is a duality that maps electric to magnetic degrees of freedom of two distinct theories. Apart from source-less Maxwell electrodynamics, other theories require magnetic ...