EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions

By S. Rychkov. 2016

371 citations recorded by the source corpus.

This is a writeup of lectures given at the EPFL Lausanne in the fall of 2012. The topics covered: physical foundations of conformal symmetry, conformal kinematics, radial quantization and the OPE, and a very basic introduction to conformal bootstrap.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dfcc516bde302c0d918122476251727549967c57

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Citations in the corpus

The cosmological bootstrap: inflationary correlators from symmetries and singularities (2018, neutral): “The story is rather different for the “conformal bootstrap” program for CFTs, where by focusing on Euclidean correlation functions, the rules are completely, and even nonperturbatively, well-defined, so a systematic exploration from numerical and analytical points of view becomes possible [47, 48].”
Multiplets of superconformal symmetry in diverse dimensions (2016, background): “In particular, there is a natural inner product on the Hilbert space of states in radial quantization, which descends from the twopoint function of local operators, and the norm of all states in C is completely determined by the quantum numbers of the CP V (see [4, 2] and references therein for addi”
The cosmological bootstrap: weight-shifting operators and scalar seeds (2019, methodology): “4), the induced metric on the section transforms as [69] ds2 → Ω2(x)ds2 , with Ω(x) = λ(X) .”
The N=2$$ \mathcal{N}=2 $$ superconformal bootstrap (2014, background): “For each choice one finds a representation of the four-point function as a sum over conformal blocks [20], with one block for each conformal multiplet that appears in both OPEs.”
The Cosmological Bootstrap: Spinning correlators from symmetries and factorization (2020, background): “Weight-shifting operators are most naturally constructed in the embedding space formalism, which introduces redundant variables to create an enlarged space in which conformal transformations act linearly [46, 55, 58, 81].”