Questions tagged [duality]
The duality tag has no usage guidance.
248
questions
1
vote
1
answer
141
views
AdS-CFT correspondance from 1D to 4D
From what I understand the AdS-CFT correspondence states that the bulk dynamics of a $n$-dimensional gravitational theory are encoded in the degrees of freedom of its dual CFT in the $(n-1)$ ...
1
vote
0
answers
82
views
Duality between topological order and SPT in $K$-matrix formalism
It is a well-known fact that the low energy effective theory of intrinsic topological order is multi-components Chern-Simons theory $\frac{K_{I J}}{4 \pi} \int_{\mathcal{M}} d t d^{2} x \epsilon^{\mu \...
11
votes
4
answers
2k
views
Why does gravity seem to have two natures (force or warping of space and time)?
In classical mechanics, gravity is regarded as a force but in general relativity it's a warping of space and time in presence of mass. Are these two definitions the same? Or is this a duality nature ...
2
votes
0
answers
104
views
Are dualities necessarily quantum mechanical?
What happens to dualities in a certain limit where quantum mechanics is turned off?
Like sending $\hbar/S$ $\rightarrow0$ where $S$ is the action of each side of the duality.
Does the duality have a ...
3
votes
1
answer
189
views
Quantized periods in electromagnetic duality path integral
In John McGreevy's notes (page 64 of https://mcgreevy.physics.ucsd.edu/w21/2021W-239-lectures.pdf), he describes a path integral derivation of electromagnetic duality for $p$-form gauge fields. The ...
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 $(p,q)$ ...
2
votes
0
answers
136
views
Photon propagators in self-dual electromagnetism
$\quad$Consider extending Maxwell electromagnetism with the dual photon field $\tilde{A}$.
The complex combinations $A^\pm = \frac{1}{2}(A \pm i\tilde{A})$ then serve as the potentials of the self-...
2
votes
1
answer
224
views
Implications of M-Theory on the correctness of String Theory
So we know that there are 5 types of string theories (Type 1, Type IIA, Type IIB, $SO(32)$ heterotic, and $E_8 \times E_8$ heterotic). It was shown that these 5 types are just limits of something ...
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 ...
2
votes
0
answers
68
views
How can holographic duals (eg. AdS/CFT) be used to study magnetic monopoles? [closed]
What useful things are possible to find out about magnetic monopoles through the use of dual theories? I'm thinking of characteristics such as stability (or chaoticness), expectation values, central ...
1
vote
0
answers
86
views
Brane fluctuations via $S$-duality
Caveat lector: I'm a mathematician trying to learn physics so I apologize if my questions are very vague or trivial.
I'm currently studying Maldacena's Black Holes in String Theory (https://arxiv.org/...
6
votes
2
answers
1k
views
At the critical point, is Kramers-Wannier duality a unitary symmetry of the model?
I have in mind the transverse ising model and its (self-dual) generalizations, such as
$$H_{TI} = \sum_i \sigma^z_{i}\sigma^z_{i+1} + h \sigma^x_{i}$$
and
$$H_{SDANNI} = \sum_i (\sigma^z_{i}\sigma^z_{...
1
vote
0
answers
36
views
Identical OPE behaviour of CFT of T-dual $X’^{\mu}$ of $X^{\mu}$
In chapter $8$ (String theory vol $\mathrm{I}$) sec $8.3$ Polchinski states that
The field $X’^{25}$ has same OPE and energy momentum tensor as $X^{25}$ the minus signs always entering in pair
$$X^{...
16
votes
2
answers
1k
views
Compact or non-compact boson from bosonization?
In some discussions of bosonization, it is stressed that the duality between free bosons and free fermions requires the use of a compact boson. For example, in a review article by Senechal, the ...
2
votes
1
answer
170
views
What would happen if the fine structure constant were set to 1?
While reading up on magnetic monopoles, I have been led to understand that, due to S-duality, the magnetic equivalent of the fine-structure constant, $\alpha_M$ must be related to the reciprocal of $\...