Questions tagged [duality]
The duality tag has no usage guidance.
248
questions
2
votes
3
answers
366
views
Self-duality of Maxwell lagrangian in terms of magnetic gauge field
I have read at many places that the pure Maxwell theory (without any matter) is self-dual. This is the general form for Maxwell Lagrangian density:
$$\mathcal{L} = - \frac{1}{4} F_{\mu\nu} F^{\mu\nu},$...
- 513
3
votes
1
answer
180
views
What does the dual gauge field have to do with topology?
The dual gauge field, $V$, is defined by $$^{\star}F(V)=F(A),$$ where $F$ is the field strength. The 't Hooft operator $\exp(i\int_C V)$ creates the trajectory of a magnetic particle along $C$. But I ...
- 742
2
votes
1
answer
103
views
What do monopoles have to do with strong coupling?
My understanding is that strong coupling effects arise from instantons in the path integral.
But I sometimes read that monopoles (see the electric-magnetic duality) can allow one to calculate strong ...
- 742
1
vote
3
answers
155
views
Are dualities symmetries? If so what are their conserved charges?
The dualities described the theories under certain transformations to be equivalent, i.e. $T$-duality described the equivalence between theories with $R$ and $\frac{1}{R}$. However, this looked very ...
- 3,256
2
votes
1
answer
83
views
How did the T-duality change the dimension of the $D$-brane?
Quote Clifford Johnson $D$-brane page 125
Observe that, since T-duality interchanges Neumann and Dirichlet boundary conditions, a further T-duality in a direction tangent to a $Dp$-brane reduces it ...
- 3,256
1
vote
1
answer
90
views
Are physical dualities based on mathematical dualities? [closed]
I understand what a physical duality is and what a mathematical duality is. The function to obtain the dual of an theory/object is an invertible function in both physics and math. I wonder if it is as ...
- 113
0
votes
0
answers
34
views
How is every D-brane dual to 2 others?
For instance, A D3 brane is T dual to both a D2 and D4. I understand the idea that Type A and B theories are T dual to one another, but I don't understand how you get 2 different dual descriptions ...
- 47
2
votes
1
answer
209
views
Is the Dirac monopole quantization condition out by 1/2?
Consider an electron with electric charge $e$ that is moved around a closed horizontal circular path $C$ centered around a magnetic monopole with magnetic charge $g$. Assume that the monopole produces ...
- 5,925
5
votes
0
answers
201
views
Reading list for JT/SYK correspondence
I have been studying Gábor Sárosi's review of holographic duality between Jackiw-Teitelboim gravity and the Sachdev-Ye-Kitaev models for the last few days. This field has grown since the review came ...
1
vote
0
answers
31
views
Regarding the single and double slit experiments
Are there interpretations of the single and double slit experiments, which discuss interactions between photons in transit, between the slits and the screen?
- 11
0
votes
1
answer
181
views
Why can't the electromagnetic duality transformation be expressed in terms of potentials?
In Is it possible to elevate the electric-magnetic duality discrete symmetry to a continuous one? the OP asks about how to derive the Noether current associated with the electromagnetic duality ...
- 6,601
1
vote
2
answers
153
views
Is it possible to elevate the electric-magnetic duality discrete symmetry to a continuous one?
I'm familiar with Electric-Magnetic duality, where in the absence of source fields one can exchange the $F_{\mu \nu}$ field with the dual field: $\tilde{F}_{\mu \nu}={\epsilon}_{\mu \nu \alpha \beta}
...
- 1,268
3
votes
0
answers
43
views
Do all members of the affine Toda field theories have fermion duals?
I know that the sine-Gordon model is $S$-dual to the massive Thirring model. Since sine-Gordon is a special case of affine Toda theory I was wondering if this extends to the generality of the models?
- 352
2
votes
0
answers
76
views
Are we sure that electric “monopoles” are not just ends of an “Electrical Dirac String”? [closed]
The Dirac String is used to model magnetic monopoles. So how are we sure that physical electric “monopoles” are not in fact the ends of an “Electrical Dirac String” produced by a solenoid carrying a ...
- 129
4
votes
1
answer
162
views
Why are we able to compare the open and closed string perspective in AdS/CFT?
I am reading the book Gauge/Gravity Duality Foundations and Applications by M. Ammon and J. Erdmenger. In that book they state the relationship between parameters on both sides of the duality as
$$
g_{...
- 87