All Questions
7 questions
0votes
1answer
80views
Finiteness of the Kac table for minimal model
I am currently reading CFT from Di Francesco. I am stuck at not understanding why the kac table for minimal models $(p, q)$ where $p$ and $q$ are co-prime, only has fields with conformal dimension $h_{...
7votes
1answer
927views
What does it mean for QFT to be unitary?
I understand the statement that 'X QFT is unitary' is shorthand for saying 'the S-matrix of X QFT is unitary', cf. e.g. this Phys.SE post. Is there some definition of unitarity that is stronger than ...
- 1,062
3votes
0answers
129views
Why is the Weyl tensor square gravity non-unitary?
I want to understand constraints of unitarity in quantum field theory. There is quite folklore statement: gravity with a Weyl tensor square term is non-unitary How to understand this? (I think that ...
- 5,757
1vote
0answers
307views
Irrational Conformal Field Theory v.s. Non-Unitary Conformal Field Theory?
Unitary conformal field theories (CFTs) with irrational (or including the special case of rational) central charge is called irrational conformal field theory (ICFT). Irrational conformal field ...
- 4,406
2votes
1answer
625views
Unitary Representations in Conformal Field Theory
So I am currently studying conformal field theory from the perspective of the representation theory of Lie algebras. I am trying to understand exactly why we care about unitarizable Verma modules. For ...
- 196
0votes
1answer
177views
If a conformal block violates unitarity, does it vanish?
When a conformal block has dimensions and spin that violate its unitarity bounds, does that make the block equal to zero? I'm asking because I'm trying to calculate 3D conformal blocks via a recursion ...
11votes
2answers
1kviews
Scale invariance plus unitarity implies conformal invariance?
What has the reaction been towards the recent paper claiming to have a proof that scale invariance plus unitarity implies conformal invariance in 4d?
- 28.8k
