All Questions
Tagged with duality conformal-field-theory
10
questions
2
votes
2
answers
122
views
How to see that the Ising CFT has $c = 1/2$ while the quantum XY CFT has $c = 1$ via Jordan-Wigner?
It is well known that the CFT at the critical point of the 1+1d transverse field Ising model has central charge 1/2. This can be attributed to the fact that, after a Jordan-Wigner transformation, the ...
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 ...
- 3,098
2
votes
0
answers
170
views
$T$-duality symmetry of $SU(2)_1$ WZW model
For bosons at self-dual radius, the CFT has T-duality symmetry. My question is can we realize this symmetry on the lattice model? for example antiferromagnetic spin chain.
- 21
1
vote
1
answer
239
views
Is the gauge/gravity (or AdS/CFT) duality believed to be exact?
I was wondering about the implications of the gauge/gravity (or AdS/CFT in a more restrictive sense) duality for the way we deal with physical theories, and I was wondering if the duality was believed ...
- 1,723
9
votes
2
answers
1k
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"$\theta$-$\phi$ duality" and $T$-duality -- is the free fermion theory self-dual?
When bosonizing an interacting spinless Luttinger liquid, the action can be written as
\begin{equation}
S=\frac{K}{2\pi}\int dx d\tau\ (\partial_\mu\phi)^2 = \frac{1}{2\pi K}\int dx d\tau\ (\partial_\...
- 1,485
8
votes
0
answers
957
views
Level-rank duality in WZW models and CS theories
Cross-posting from Physics Overflow: https://www.physicsoverflow.org/41281/level-rank-duality-in-wzw-models-and-cs-theories
I know that the classical level-rank duality in the $\widehat{\mathfrak{sl}}...
- 138
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 ...
- 2,188
1
vote
0
answers
204
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Do Liouville theory have a gravity dual?
Does Liouville theory have a gravity dual? I think the answer is not. But what's wrong with Liouville theory?
What features of Liouville theory are universal for other CFTs?
- 2,071
0
votes
2
answers
291
views
CFT energy scale in AdS/CFT correspondence
In the context of the AdS/CFT correspondence, the coordinate $z$ of AdS in Poincaré coordinates is often identified with an (inverse) energy scale for a CFT. I don't quite understand this ...
- 2,197
3
votes
2
answers
2k
views
Invariance of Maxwell's Equations under inverting variables - Reference and use
Some months ago, an ArXiv paper mentioned in passing that Maxwell's Equations were invariant under reciprocating the variables, or at least this results in a dual set of Maxwell Equations. (Actually I ...
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