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Conformal invariance in the long-range Ising model (2015)
Journal Article
Paulos, M., Rychkov, S., van Rees, B., & Zan, B. (2016). Conformal invariance in the long-range Ising model. Nuclear Physics B, 902, 246-291. https://doi.org/10.1016/j.nuclphysb.2015.10.018

We consider the question of conformal invariance of the long-range Ising model at the critical point. The continuum description is given in terms of a nonlocal field theory, and the absence of a stress tensor invalidates all of the standard arguments... Read More about Conformal invariance in the long-range Ising model.

W symmetry in six dimensions (2015)
Journal Article
Beem, C., Rastelli, L., & van Rees, B. C. (2015). W symmetry in six dimensions. Journal of High Energy Physics, 2015(05), Article 017. https://doi.org/10.1007/jhep05%282015%29017

Six-dimensional conformal field theories with p2, 0q supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a twodimensional chiral algebra. We argue that the chiral algebra associated to a p2, 0q th... Read More about W symmetry in six dimensions.

Chiral algebras of class S (2015)
Journal Article
Beem, C., Peelaers, W., Rastelli, L., & van Rees, B. C. (2015). Chiral algebras of class S. Journal of High Energy Physics, 2015(05), Article 020. https://doi.org/10.1007/jhep05%282015%29020

Four-dimensional NN = 2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras. In this paper, we explore the chiral algebras that arise in this manner in the conte... Read More about Chiral algebras of class S.

Infinite Chiral Symmetry in Four Dimensions (2015)
Journal Article
Beem, C., Lemos, M., Liendo, P., Peelaers, W., Rastelli, L., & van Rees, B. C. (2015). Infinite Chiral Symmetry in Four Dimensions. Communications in Mathematical Physics, 336(3), 1359-1433. https://doi.org/10.1007/s00220-014-2272-x

We describe a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras. The meromorphic correlators of the chiral algebra compute correlators in a protected sector of the fou... Read More about Infinite Chiral Symmetry in Four Dimensions.

Truncated conformal space approach in d dimensions: A cheap alternative to lattice field theory? (2015)
Journal Article
Hogevorst, M., Rychkov, S., & van Rees, B. (2015). Truncated conformal space approach in d dimensions: A cheap alternative to lattice field theory?. Physical Review D, 91(2), Article 025005. https://doi.org/10.1103/physrevd.91.025005

We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in d dimensions. We use the truncated conformal space approach, a Hamiltonian method which exploits the conformal structure of the UV fixed point. Th... Read More about Truncated conformal space approach in d dimensions: A cheap alternative to lattice field theory?.