All Questions
Tagged with duality yang-mills
13
questions
4
votes
1
answer
151
views
Derivation of self-dual gravity formulae
I am trying to read and understand this paper by Monteiro, Stark-Muchao, and Wikeley about self-dual yang-mills and self-dual gravity.
In the introduction to this paper, they review a way to ...
1
vote
0
answers
39
views
Reference for dual gauge field and magnetic field being canonically conjugate
The gauge field operator in quantum Yang-Mills is canonically conjugate to the electric field.
I know that the dual gauge field is canonically conjugate to the magnetic field, but I can't seem to dig ...
7
votes
1
answer
470
views
Isn't AdS/CFT an end to String theory as a fundamental theory?
I start with the Large $N$ QCD paper by 't Hooft.
When 't Hooft published his paper on Large $N$ QCD it was clear why the string theory of hadrons due to Gabriele Veneziano could make sense. But at ...
- 1,268
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 ...
- 1,723
4
votes
0
answers
171
views
One-loop exactness of self-dual Yang-Mills theory
The self-dual Yang-Mills theory (gauge group $G$) with the action:
$$
\mathcal{S} = \int_{M} \text{Tr} (B^{+} \wedge F)
$$
where $B^{+}$ is a self-dual field, transforming in the adjoint ...
- 4,883
5
votes
1
answer
208
views
The planar limit, self-duality and their relation to two dimensions
In the lecture notes by Beisert on integrability, it is stated that integrability is a property mainly in two-dimensional field theories, with some higher-dimensional examples. As higher-dimensional ...
user172341
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 ...
- 411
2
votes
2
answers
253
views
Physical implication of $\textbf{E}\rightarrow\textbf{B},~~\textbf{B}\rightarrow -\textbf{E}$ invariance of the Maxwell's equations
An interesting observation to consider about the Maxwell's equation is that in absence of the sources, the equations are symmetric under the interchange $$\textbf{E}\rightarrow\textbf{B},~~\textbf{B}\...
- 26.8k
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 ...
- 17.8k
5
votes
2
answers
542
views
What S means in S-duality?
As I know, there are many dualities related to S-duality. For example, Montonen-Olive duality, Seiberg duality. and so on.
so, I wonder that what "S" means in the term "S-duality".
If this is a stupid ...
terry
1
vote
0
answers
115
views
On self-duality of N=4 super Yang Mills theories
I am looking at S-duality a bit, and was wondering if anyone had the answer to the following question. It is known that the supersymmetric Yang-Mills theory in 4 space dimensions is self-dual with ...
- 81
9
votes
1
answer
362
views
What evidence do we have for S-duality in N=4 Super-Yang-Mills?
Do we have anything resembling a proof*? Or is it just a collection of "coincidences"?
Also, do we have evidence from lattice gauge theory computations?
*Of course I'm not talking about a proof in ...
Squark
8
votes
1
answer
3k
views
${\cal N}=4$ supersymmetric yang-mills theory and S-duality
[Question suggested by @Lawrence B. Crowell's answer to the question on T-duality]
There are three parts to my question:
A. What is the action for ${\cal N}=4$ SUSY Yang-Mills and what is the physics ...
user346