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An Algebraic Approach to the Analytic Bootstrap
Luis F. Alday, Alexander Zhiboedov
We develop an algebraic approach to the analytic bootstrap in CFTs. By acting with the Casimir operator on the crossing equation we map the problem of doing large spin sums to any…
Conformal Bootstrap With Slightly Broken Higher Spin Symmetry
Luis F. Alday, Alexander Zhiboedov
We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit an…
Supersymmetric solutions to Euclidean Romans supergravity
Luis F. Alday, Martin Fluder, Carolina M. Gregory +2
We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence w…
Supersymmetric gauge theories on five-manifolds
Luis F. Alday, Pietro Benetti Genolini, Martin Fluder +2
We construct rigid supersymmetric gauge theories on Riemannian five-manifolds. We follow a holographic approach, realizing the manifold as the conformal boundary of a six-dimension…
Large spin systematics in CFT
Luis F. Alday, Agnese Bissi, Tomasz Lukowski
Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher s…