Infinite Chiral Symmetry in Four Dimensions

By Christopher Beem, Madalena Lemos, P. Liendo, W. Peelaers, L. Rastelli, B. C. Rees. 2013

689 citations recorded by the source corpus.

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 four-dimensional theory. Infinite chiral symmetry has far-reaching consequences for the spectral data, correlation functions, and central charges of any four-dimensional theory with $${\mathcal{N}=2}$$N=2 superconformal symmetry.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2ade68c690feee7f5b94404c385f9ab5212943d6

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In Nuclear and High Energy Physics

Citations in the corpus

Correlation functions of Coulomb branch operators (2016, background): “The ring data associated to these operators is independent of the exactly marginal couplings [41, 42].”
How to succeed at holographic correlators without really trying (2017, background): “Finally the overall constant can be determined by comparing with the free field result after restricting the R-symmetry cross ratios to a special slice [73] (this is related the chiral algebra twist [79]).”
Exact correlators of BPS Operators from the 3d superconformal bootstrap (2014, methodology): “1 with a review of the strategy of [3].”
The ϵ ?> -expansion from conformal field theory (2015, background): “6 Nevertheless, there have been notable analytic results for the large N [40–42], large Δ [43, 44], large l [45–51], or SUSY [52, 53] cases.”
Bootstrapping the O(N) archipelago (2015, neutral): “In higher dimensional CFTs, CJ is not an element of a nontrivial algebra in general, though it can be in special cases [37].”
Virasoro conformal blocks in closed form (2015, background): “Minkowski space [3,4], and correlators of chiral operators in 4d and 6d superconformal field theories [5, 6].”
Recursion relations for conformal blocks (2015, background): “In this case, p = so(2) ⊕ so(3), thus we can label the highest weight by (5)See appendix C of [50] (and references therein) for a more physics oriented summary.”
Schur indices, BPS particles, and Argyres-Douglas theories (2015, background): “Moreover the central charges of this chiral algebra are inherited from four dimensional central charges as [12] c2d = −12c4d , k2d = − 1 2 k4d , (4.”