منابع مشابه
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...
متن کاملTorus Knots Extremizing the Conformal Energy
A useful geometric property of E is conformal invariance: if μ is a Möbius transformation of R ∪∞, and μ(Γ) ⊂ R, then E(μ(Γ)) = E(Γ). This can be used to prove [FHW] that each prime knot class has an energy minimizing representative (of differentiability class C), and that the round circle is the unique energy minimizer among all curves (E = 4). It is also a non-trivial result of [FHW] that, at...
متن کاملProjectors, 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 ...
متن کاملThe Algebra of Conformal Blocks
Abstract. We study and generalize the connection between the phylogenetic Hilbert functions of Buczynska and Wisniewski [BW] and the Verlinde formula, as discovered by Sturmfels and Xu in [StX]. In order to accomplish this we introduce deformations of algebras of non-abelian theta functions for a general simple complex Lie algebra g structured on the moduli stack of stable punctured curves. We ...
متن کاملSemi - Classical Blocks and Correlators in Rational and Irrational Conformal Field Theory
The generalized Knizhnik-Zamolodchikov equations of irrational conformal field theory provide a uniform description of rational and irrational conformal field theory. Starting from the known high-level solution of these equations, we first construct the high-level conformal blocks and correlators of all the affine-Sugawara and coset constructions on simple g. Using intuition gained from these c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2018
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732318501663