Conformal blocks and negativity at large central charge

Conformal invariance, the central charge, and universal finite-size amplitudes at criticality.

Conformal field theory at central charge c = 0 : a measure of the indecomposability ( b ) parameters

A good understanding of conformal field theory (CFT) at c = 0 is vital to the physics of disordered systems, as well as geometrical problems such as polymers and percolation. Steady progress has shown that these CFTs should be logarithmic, with indecomposable operator product expansions, and indecomposable representations of the Virasoro algebra. In one of the earliest papers on the subject, V....

ConjecturedZ2-Orbifold Constructions of Self-Dual Conformal Field Theories at Central Charge 24- the

By considering constraints on the dimensions of the Lie algebra corresponding to the weight one states of Z 2 and Z 3 orbifold models arising from imposing the appropriate modular properties on the graded characters of the automorphisms on the underlying conformal field theory, we propose a set of constructions of all but one of the 71 self-dual meromorphic bosonic conformal field theories at c...

Projectors, Shadows, and Conformal Blocks

We introduce a method for computing conformal blocks of operators in arbitrary Lorentz representations in any spacetime dimension, making it possible to apply bootstrap techniques to operators with spin. The key idea is to implement the “shadow formalism” of Ferrara, Gatto, Grillo, and Parisi in a setting where conformal invariance is manifest. Conformal blocks in d-dimensions can be expressed ...

Decomposition of Conformal Blocks

In the Masters Project we give a complete proof of the Factorization theorem in Conformal Field Theory and Local freeness of the sheaf of conformal blocks. We apply these results to give a proof of the Verlinde formula. Except for the part on Verlinde formula (Chapter 8), we mostly follow the description given in [TUY]. For the Verlinde formula, we follow the article [Beau]. We do not claim any...