# Questions tagged [conformal-field-theory]

Used for questions related to conformal field theory, which is a quantum field theory that is invariant under conformal transformations.

13 questions
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### Rewriting a state as a field in CFT

I've been working through a textbook and course on conformal field theory recently. However in a section illustrating how to calculate correlators for secondary fields (using the free boson as an ...
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### Convergence of scalar product in a hilbert space

Background: From this paper I'm trying to understand why the OPE in conformal field theory has a finite radius of convergence. The authors make the claim that the scalar product of two states ...
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### Prove two Integrals formulae in two dimension

I come across the following two integral formulae The first integral formula is \begin{equation} \int_\Bbb C d^2z |z|^{2a}|z-x|^{2c}|z-1|^{2b} = \frac{S(a)S(c)}{S(a+c)}|I_{0x}|^2+\frac{S(b)S(a+b+c)}{...
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### Grasping the idea of Virasoro Algebras in 2D Conformal field theory

I have been trying to understand the connection between Virasoro algebras and CFT. After a course in string theory, I was under the impression that the Virasoro algebra was simply the Lie algebra of ...
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### Reference request: 2D conformal field theory and the honeycomb lattice

Would anyone know what is meant by "conformally invariant" functions defined on the plaquettes of the honeycomb lattice (ie the function is defined on the vertices of the dual tringular lattice)? ...
1answer
429 views

### CFT's vs Vertex Operator Algebras

I am trying to clear my ideas about the relation between a Conformal Field Theory (CFT) and a Vertex Operator Algebra (VOA). For me a CFT based on a (complex) vector space $H$ is a projective monoidal ...
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383 views

### Conformal group in two dimensions

In Conformal field theory, physicist says, the conformal group in two dimensions is infinite dimensional, so the associated with the infinity of generators and infinity conserved charges provided. Is ...